MAT 2012 Question Paper
A sentence has been divided into four parts. Choose the part
that has an error.
Rearrange the following letters and make a meaningful word which is opposite to the answers.
TSTHNAIE
NIETEMARG
TENALSGERI
Solution
The correct word that can be formed by rearranging the letters TENALSGERI is GENERALIST.
The opposite of GENERALIST is Specialist
The correct answer is specialist.
Study the passage below and answer the questions.
PASSAGE - I
For decades, the Government has grappled with India's health care shortcomings
by introducing various programmes. Despite some measure of success, the problem
of universal health care access continues to fester like a recalcitrant sore. While
there are several reasons for the lack of complete success in improving health care
access, the overall problem may lie in the pursuit of improper priorities. To address
access issued headon, radically improving primary health care in India should be top
priority. A steep shortage in primary health care centres (PHCs) across India is the
prime reason why villagers are forced to trek almost 20 km to reach the nearest PHC.
This may still be of little use, because most PHCs are perpetually plagued by a supply
and staff shortage, making matters worse for sick patients who expend time, energy
and resources to reach the PHC. For people from towns and semi-urban areas seeking
modern medical care the situation is no different since they need to travel to the
nearest city. Despite 7,50,000 doctors registered with the Medical Council of India,
the ground reality is that about 2,00,000 aren't active anymore. This means India has
only one doctor to treat 2,000 people, instead of one doctor for every 1,000. Improving
those figures will take time because the number of medical and nursing colleges cannot
be hiked overnight to boost the output of medical graduates. The time has come to
firmly recognise that health and health care issues cannot be left solely to the
Government or public sector entities if India is to meet its health care targets including
Millennium Development Goals for 2015. Such immense investments and specialised
skills could best be tapped if public-private partnerships were promoted and
Private companies encouraged to establish health care infrastructure in all geographies
- urban, semi-urban and rural - particularly where primary health care is concerned.
Estimated indicate that only 320 million people or 26 percent of India's population are
covered under some form of medical insurance - public or private. In other words,
large uncovered sections of the populace are forced to meet medical costs via out-ofpocket
spends, causing immense financial burden and pushing many families into
poverty.
What is/ are the primary reason(s) for the lack of complete success in improving
health care in India?
A. Total government apathy in this area.
B. Policy makers' inability to properly priorities the measures required.
C. Shortage of PHCs across the country.
It is implied in the passage that
Which of the following statements is/ are true in the context of the passage?
Which of the following statements is/ are not true in the context of the passage?
A. The Government has failed to correctly assess the requirement of medical
colleges in India.
B. Over 25% of the doctors who register with the Medical Council of India never
get into the medical profession.
C. Private participation in the primary health sector is a must to ensure its success
we go forward towards Millennium Development Goals for 2015.
Study the passage below and answer the questions.
PASSAGE - II
With will and vision, India's energy prospects can be changed from grim to
green, and the world will benefit as a result, At 571 kWh per capita, India's electricity
consumption is one-fifth of China's (2,631 kWh) and less than one - twentieth of
the USA's (12,914 kWh). India's electricity demand will only grow. Solar electricity
today at Rs.7.50 a kWh is economical compared with subsidised diesel generated
power at roughly Rs.15 a unit, but more expensive than coal - based electricity at
about Rs.6 And, in any case, India has ash - rich coal. What is the true cost of
coal - based power? Prices are distorted by subsidies, State boundaries, vote - bank
politics, and uncharged carbon - emission costs. Can India leapfrog into a clean - energy
future rather than extend the conventional grid with fossil fuels at its core? In a
nation blessed with abundant sunlight, to what extent should electricity be a networking
service at all? Could India tap ambient solar energy for most of its needs? India's
single - minded focus should be massive and rapid solar deployment, not only through
utility - scale solar plants, but also through distributed generation, household - by -
household, nationwide. Electricity in Indian homes should be roof top - to - room and
solar based with energy self - sufficiency as the goal; the grid can complement and
serve as back - up where available. Anchored with solar, the solutions may include
combinations with bio - diesel, batteries, wind, biogas, micro - hydro, etc. At night or
when the sun is behind clouds, alternative yet local sources can assure electricity.
Once solar energy takes root, India will need less of the colossal and wasteful transmission,
distribution and generation infrastructure except for industrial operations
such as running factories and trains.
Which of the following factors is/ are favouring India's transition to a clean
energy future?
A) India has abundant sunlight.
B) India's electricity consumption is less than China's or the USA's?
C) India has ash - rich coal
It is implied in the passage that
It is not implied in the passage that
A) India should switch over completely to solar power by installing solar power
kits in every household.
B) by installing solar panels on every roof top, India could make power grids
redundant.
C) per capita energy consumption in China is higher than that in India
It can be inferred from the passage that
Study the passage below and answer the questions.
Passage - III
The change in the Government's focus, from coveting the cash balances of public sector undertaking (PSUs) to examining how these can be put to better use by them, is a welcome development. In the current investment - starved environment,
there is certainly a strong macro - economic imperative for inducing PSUs to deploy funds in capex programmes. But, from a shareholder's perspective- and that applies to the Government as well - it is also important that funds in excess of their immediate investment needs, estimated at over Rs. 1 lakh crore, earn a reasonable return. This is made difficult by rigid and archaic investment norms. So, it is a double whammy, wherein idle money of state - owned firms neither gets invested in projects nor generates sufficient portfolio returns. The current guidelines on deployment of surplus cash by PSUs decree that 60 percent of these should be parked with public sector banks. The 'public sector' mutual funds requirement is outdated, when many of them promoted by the likes of UTI, SBI and LIC have roped in foreign partners, making these ventures little different from pure private sector fund houses. Now that the investment guidelines are to be reviewed by a Government committee, it may be best for the Government to just stipulate general prudential norms to be followed by PSUs. These norms could emphasise safety liquidity of investments, their diversification across asset classes and securities, and provisions against taking speculative bets, that expose shareholder funds to capital loss risks.
The objective of the author in writing this article appears to be to
What are the twin benefits that the author suggests would accure, if PSUs invest
their surplus funds more prudently?
It is implied in the passage that the Government.
A) had hitherto been unjustly siphoning off the surplus funds of PSUs.
B) is bereft of ideas when it comes to deciding where to park the surplus funds
of PSUs
C) had always favoured channelising the surplus funds of PSUs into public sector
banks.
Which of the following statements about mutual funds is not true in the context of the passage?
Solution
The passage states that 60% of the surplus cash of PSUs should be parked with public sector banks, but it doesn't mention any specific percentage (like 30%) for investing in public sector mutual funds. Therefore, Option C is not true according to the passage.
Study the passage below and answer the questions.
PASSAGE - IV
The first requirement to ensure nuclear safety is technical expertise which
India has. No questions have been raised so far about the expertise in Department of
Atomic Energy (DAE). The first reactors were imported. Soon after commissioning
the original suppliers left leaving us to fend for ourselves. The reactors have been running
for decades without any serious environmental issues. More reactors have since
been built indigenously with enhanced safety features, and increased power rating.
Continuous monitoring of these shows negligible environmental impact compared to
that arising from natural background radiation. All of this as possible because of the
expertise available in DAE institutions. In the early years, there was self-regulation of
safety. It had to be so because there was no other group working in this field. It worked
very well. As the programme expanded, a full-time regulatory body was needed and,
so, the Atomic Energy Regulatory Board (AERB) came into being. Continuing
absence of education and research a nuclear technology in academic institutions meant
the AERB had to be staffed with experts transferred to it from DAE units. AERB also
had to rely on expertise in DAE for various kinds of analyses. This was facilitated by
the AERB being under the Atomic Energy Commission (AEC). Information that ought
to have been disseminated in the first place was not available to the public. This has
naturally tended to imputed motives on attitude of AERB and DAE to safety. An independent
regulator is being demanded as the answer. Steps have to be initiated in the
direction now. Meanwhile, reliance on expertise in DAE institutions is inevitable. If
total independence now is impractical and expertise outside DAE is unavailable, only
total transparency on the part of AERB and DAE can redeem the situation. This had
not yet come about. If a larger contribution from nuclear energy is required, more
effort is needed to effectively answer public questions on plant safety and to dispel
needless fear of radiation. A brand new independent agency to be set up now to regulate
nuclear safety may please some people, but would find it difficult to cope with the
demands of an expanding programme with new designs.
Which of the following statements about India's nuclear capability building is/
are true?
How is the safety of nuclear reactors in India ensured?
The author is of the view that
All of the following statements are implied in the passage except
Study the passage below and answer the questions.
PASSAGE - V
Apprehensive that pharma companies may stop or reduce production of essential
drugs after they come under price control, the Government is mulling steps to
ensure that companies maintain present levels of output of these critical drugs.
Sources said the recent decision to put a price cap 348 drugs was accompanied by a
concern that the manufactures could lose interest in these medicines owing to reduced
margins of profit. It was based on the past experience when the drug price control was
first enacted. The Group of Ministers (GoM) that took the landmark decision directed
the Department of Pharmaceutical to ensure that present production levels were maintained
after the price control. As a follow-up, sources said, the Government could fix
mandatory level of production in these drugs for each company in business. The fear
over companies retaliating with decrease production revolves around the fact the price
control would check profit margins. Once the essential medicines are brought under
the Drug Price Control Order, they cannot be sold at a price highter than that fixed by
the Government. A senior official said, "We will ensure that accessibility and availability
of essential drugs does not go down". The GoM has also decided that the prices
of medicines, which are part of the price control order of 1995 but not in the National
List of Essential Medicines 2011, would be frozen for a year and thereafter a maximum
increase of 10% per annum would be permitted. Out of the 348 medicines, the
prices of 37 drugs are controlled by the National Pharmaceutical Pricing Authority
(NPPA). The Government, through the NPPA, controls prices of 74 bulk drugs and
their formulations.
Which of the following is not outlined in the passage as a possible retaliatory
measure of the pharma companies?
A. Altogether stopping production of the 348 essential drugs put under price
control.
B. Reducing production of non essential drugs.
C. Strive to get the 348 drugs out of the list of essential drugs.
It is implied in the passage that
Which of the following is/ are the outcome(s) of the enactment of Drugs Price
Control Order?
In India the government fixes the prices of
Fill in the blanks.
Jayashree was habitually so docile and .......... that her friends could not understand
her sudden ......... her employers.
Carried away by the ......... effect of the experimental medication, the patient
......... his desire to continue as a subject for as long as he could.
As several shops have ......... across the street, the old directory is .........
Choose the order of the sentences marked A, B, C, D and E to form a logical paragraph.
A) Easy or not, etiquette is important
B) There's a reason for doing things the way we do them -- we just have no idea what it is.
C. I had to interrupt my cell phone call to tell him off.
D. I was trying to explain this the other night to my children -- Matt, 15, and Becky, 11 --- who, I'm ashamed to say, have been allowed to develop less than perfect manners, especially at the table.
E. At this particular family dinner, I caught Matt buttering his backed potato with his finger.
A. "Are you all right?" I asked, as I helped her to her seat. "That turbulence was as bad as it gets."
B. Flying in the summer means one thing: turbulence.
C. I was working as a flight attendant when we hit a patch of very rough air just after a young teenager, obviously on her first flight, had entered the bathroom.
D. After the bumps had subsided, she exited the bathroom, a look of sheer terror etched on her face.
E. "So that's what it was," she said, "I thought I'd pushed the wrong button."
A. But, transportation is difficult and the Pantanal is little known outside of
Brazil.
B. The people who live here have their fingers crossed.
C. Because if ecotourism doesn't work, there is no alternative waiting.
D. There are now some 60-odd tourist facilities here, most of them small and
locally owned.
E. Worldwide, the jury is still out on the idea of ecotourism and the Pantanal has
become a testing ground.
A. And then suppose you pushed the 'Reverse' button and took a trip in the opposite direction journeying into the dim recesses of the past.
B. Just suppose you could clamber aboard a Time Machine and press the 'Forward' button.
C. You might just land right into your favourite period of history.
D. Zap... would you hurtle forward through a blinding flash of days and nights, months and years-- even long centuries--- perhaps, to land into an alien world of the future....?
E. A world that will be a marvel of technology.
Rearrange the jumbled alphabets in the following four
options and find the odd word among them.
Each of these questions has a text portion followed by four
alternative summaries. Choose the option that best captures the essence of the text.
An employee who is given the financial support and resources to create new
products or systems is called an intrapreneur. Some of the greatest business leaders
of the past made their early mark in business as intrapreneurs. Most progressive
organisations view intrapreneurship as a way to develop and retain the best
manpower and provide an entrepreneurial atmosphere within the organisation. It
also adds to the potential of an otherwise static organisation.
Health these days is being threatened by a growing phenomenon. Bacteria that
cause common life threatening infections are becoming increasingly resistant to
antibiotics. This is due to the widespread use and misuse of such antibiotics.
Antimicrobial resistance needs immediate attention. Self-medication should be
discouraged. Asepsis should be the gospel for the prevention of infection.
Satyagraha, a philosophy and practice of non-violent resistance, has the power to
shame the powerful because it makes a moral statement before the society. But it
is only effective when the practitioner acquires the moral right to undertake the
action. Only a principled person can carry Satyagraha to its logical end. Any
regime, liberal or illiberal, finds it tough to suppress this movement. This weapon
of truth and non-violence rarely fails provided it is used selflessly in public interest.
Satyagraha become Duragraha if it is used as blackmail.
For long, sociologists have warned of the dire consequences of an increasingly
skewed sex ratio. A falling sex ratio is a cumulative process which could lead to
more crimes and violence against women. Without enough brides, men would be
forced to purchase wives leading to human trafficking. This, in turn, would lead
to insecure parents resorting to even more female foeticide and keeping girls
indoors out of fear of their protection. In the long run all the gains made in pushing
for greater female literacy and empowerment could be undone.
For the following questions answer them individually
A and B can separately do a piece of work in 20 and 15 days, respectively. They worked together for 6 days, after which B was replaced by C. If the work was finished in the next 4 days, then the number of days in which C alone could do the work will be
Solution
Work done by A in one day = $$\frac{1}{20}$$ and work done by B in one day = $$\frac{1}{15}$$
Work done by both A and B in one day = $$\frac{1}{20} + \frac{1}{15} = \frac{7}{60}$$
Work done by A and B in 6 days = $$\frac{7}{60} \times 6 = \frac{7}{10}$$
Remaining work = $$1 - \frac{7}{10} = \frac{3}{10}$$
Now, Time taken by A and B to complete the work in next 4 days is given by
$$\Rightarrow$$ (Remaining work / (A + C)'s effeciency) = Remaining time to complete the work.
$$\Rightarrow \frac{\frac{3}{10}}{\frac{1}{20} + \frac{1}{C}} = 4$$ days
$$\Rightarrow \frac{3}{10} = 4(\frac{1}{20} + \frac{1}{C})$$
$$\Rightarrow \frac{3}{10} = \frac{4}{20} + \frac{4}{C} \Rightarrow \frac{4}{C} = \frac{3}{10} - \frac{1}{5}$$
$$\Rightarrow \frac{1}{C} = \frac{1}{40}$$ (or) C = 40 days
Hence, option B is the correct answer.
B can do a piece of work in 6 hours, B and C together can do it in 4 hours, and A, B and C together in $$2\frac{2}{3}$$ hours. In how many hours can A and B together do the same piece of work?
Solution
Work done by B in one hour = $$\frac{1}{6}$$
Work done by B and C together in one hour = $$\frac{1}{B} + \frac{1}{C} = \frac{1}{6} + \frac{1}{12} = \frac{1}{12}$$
Work done by A, B and C together in one hour,
$$\frac{1}{A} + \frac{1}{B} + \frac{1}{C} = \frac{3}{8}$$
$$\frac{1}{A} + \frac{1}{6} + \frac{1}{12} = \frac{3}{8}$$
$$\frac{1}{A} = \frac{3}{8} - \frac{1}{6} - \frac{1}{12}$$
$$\frac{1}{A} = \frac{9 - 4 - 2}{24} = \frac{1}{8}$$
Work done by A and B together in one hour = $$\frac{1}{A} + \frac{1}{B} = \frac{1}{8} + \frac{1}{6} = \frac{7}{24}$$
Total work done by A and B together = $$\frac{24}{7}$$ (or) $$3\frac{3}{7}$$ hours
Hence, option D is the correct answer.
X can do $$\frac{1}{4}$$ of a work in 10 days, Y can do 40% of the work in 40 days and Z can do $$\frac{1}{3}$$ of the work in 13 days. Who will complete the work first?
Solution
Given, X can complete $$\frac{1}{4}$$ of the work in 10 days i.e he can complete the whole work in 10 x 4 = 40 days
Y can do 40% of the work in 40 days i.e he can complete the whole work in 40 x $$\frac{1}{0.4}$$ = 100 days
Z can do $$\frac{1}{3}$$rd of the work in 13 days i.e he can complete the whole work in 13 x 3 = 39 days
Z will complete the work first.
Hence, option C is the correct answer.
A can do a piece of work in 7 days of 9 hours each where as B can do the same work in 6 days of 7 hours each. How long will they take to do the work together, working $$8\frac{2}{5}$$ hours a day?
Solution
Work done by A and B in 1 hr per day = $$\frac{1}{63}+\frac{1}{42}=\frac{5}{126}$$
Number of hours they are required to work = $$\frac{42}{5}$$ hours
Number of days required = $$(\frac{1}{\frac{5}{126}})\div(\frac{42}{5})$$
= $$\frac{126}{5}\times\frac{5}{42}=3$$ days
=> Ans - (B)
When 5 percent is lost in grinding wheat, a country has to import 20 million bags to make up of the loss. But when only 2 percent is lost, it has to import 15 million bags. What is the quantity of wheat which grows in the country in million bags?
Solution
Given, when 5 percent is lost in grinding wheat, the country has to import 20 million bags to make up of the loss,
5% of wheat = 20 million bags ......(1)
When only 2 percent is lost, it has to import 15 million bags,
2% of wheat = 15 million bags ......(2)
From equation (1) and (2)
3% of wheat = 5 million and 100% = $$\frac{500}{3} = 166 \frac{2}{3}$$
Hence, option D is the correct answer.
In a consumer preferences survey, 20% respondents opted for product A whereas 60% opted for product B. The remaining individuals were undecided. If the difference between those who opted for product B and those who were undecided is 720, how many individuals had been interviewed for the survey?
Solution
Let the total number of individuals who had been interviewed for the survey = 'x'
Number of respondents who had opted for product A = 20% of x
Number of respondents who had opted for product B = 60% of x
Number of respondents who had opted for none of the products = 20% of x ( remaining part out of 100%)
Difference between those who opted for product B and those who were undecided is 720.
$$\Rightarrow$$ (60% - 20%)x = 720
$$\Rightarrow$$ 40% of x = 720 (or) x = 720 ($$\frac{100}{40}$$) (or) x = 1800
Hence, option B is the correct answer.
Gauri went to the stationers and bought items worth Rs.25, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax-free items?
Solution
Cost price of items bought by Gauri in the stationers = 25
Price after deducting sales tax = 25 - 0.30 = 24.70
Let the amount of sales tax on taxable purchases be x
Then, 6% of x = 0.3 rs
x = (0.3)($$\frac{100}{6}$$)
x = 5
Cost price of the tax free items = 24.70 - 5 = 19.70
Hence, option C is the correct answer.
Shyam had three note books X, Y and Z. Of these, X had 120 pages, Y had 10% more and Z had 10% less. If he tore out 5%, 10% and 15% of pages in X, Y and Z respectively, then what percent of total pages did he tear out?
Solution
Total number of books shyam had,
X = 120, Y = (1.1 x 120) = 132, Z = (0.9 x 120) = 108
Total number of books he tore,
X = 5 % of X = (0.05 x 120) = 6
Y = 10% of Y = (0.1 X 132) = 13.2
Z = 15% of Z = (0.15 x 108) = 16.2
Percentage of books he tore,
$$\Rightarrow \frac{6 + 13.2 + 16.2}{120 + 132 + 108}$$ x 100
$$\Rightarrow \frac{35.4}{360}$$ x 100 = 9.83%
Hence, option D is the correct answer.
A bag contains 4 five rupee coins, 3 two rupee coins and 3 one rupee coins. If 6 coins are drawn from the bag at random, what are the odds in favour of the draw yielding maximum amount?
Solution
Total number of coins in the bag = 4 + 3 + 3 = 10
If 6 coins are drawn from the bag at random, then the probability that the draw yields maximum amount is given by,
= $$\frac{4_{C_{4}} \times 3_{C_{2}}}{10_{C_{6}}}$$
= $$\frac{1 \times 3}{210}$$
= $$\frac{1}{70}$$
Odds in favour of the draw = $$1 - \frac{1}{70} = \frac{69}{70}$$
Hence, option C is the correct answer.
Varun throw two unbiased dice together and gets a sum of 7. If his friend Tarun then throws the same two dice, what is the probability that the sum is less than 7?
Solution
The number of possibilities where the sum is less than '7' is,
(1,1), (1,2), (1,3), (1,4), (1,5), (2,1), (2,2), (2,3), (2,4), (3,1), (3,2), (3,3), (4,1), (4,2), (5,1)
There are 15 possibilities out of 36(6 x 6) possible outcomes.
$$\therefore$$ The probability that the sum is less than 7 is,
$$\Rightarrow \frac{15}{36} = \frac{5}{12}$$
Hence, option D is the correct answer.
In a factory where toys are manufactured, machines A, B and C produce 25%, 35% and 40% of the total toys, respectively. Of their output, 5%, 4% and 2% respectively, are defective toys. If a toy drawn at random is found to be defective, what is the probability that it is manufactured on machine B?
Solution
Let $$E_{1}$$, $$E_{2}$$ and $$E_{3}$$ be the events that the toys are produced by the machines A, B and C respectively.
Probability of toys manufactured by A i.e P($$E_{1}$$) = $$\frac{25}{100}$$
Probability of toys manufactured by B i.e P($$E_{2}$$) = $$\frac{35}{100}$$
Probability of toys manufactured by C i.e P($$E_{3}$$) = $$\frac{40}{100}$$
Let D be the event of the toy being defective.
Now, P$$(\frac{D}{E_{1}})$$ = $$\frac{5}{100}$$; P$$(\frac{D}{E_{2}})$$ = $$\frac{4}{100}$$; P$$(\frac{D}{E_{3}})$$ = $$\frac{2}{100}$$
Probability that the toy drawn at random is defective and is manufactured on machine B,
P(B|D) = $$\frac{P(E_{2})P(D/E_{2})}{P(E_{1})P(D/E_{1}) + P(E_{2})P(D/E_{2}) + P(E_{3})P(D/E_{3})}$$
P(B|D) = $$\frac{(35/100)(4/100)}{(25/100)(5/100) + (35/100)(4/100) + (40/100)(2/100)}$$
P(B|D) = $$\frac{(35 \times 4)}{(25 \times 5) + (35 \times 4) + (40 \times 2)}$$
P(B|D) = $$\frac{140}{125 + 140 + 80}$$
P(B|D) = $$\frac{140}{345}$$
P(B|D) = $$\frac{28}{69}$$
Hence, option B is the correct answer.
A and B alternately throw a pair of dice. A wins if he throws 6 before B throws 7; and B wins if he throws 7 before Athrows 6. What are their respective chances of winning, if A throws the dice first?
Solution
The probability that A throws '6' = $$\frac{5}{36}$$ and
The probability of A not getting '6' = $$1 - \frac{5}{36} = \frac{31}{36}$$
The probability that B throws '7' = $$\frac{6}{36}$$
The probability of A winning the game is given by,
= (In the first throw if A wins) or (In the 1st throw A looses, B also looses and in the 2nd throw A wins) or ( A and B looses in the 1st and 2nd throw's and A wins in the 3rd throw .....it goes on like that)
= $$\frac{5}{36} + \frac{31}{36}.\frac{30}{36}.\frac{5}{36} + \frac{31}{36}.\frac{30}{36}.\frac{31}{36}.\frac{30}{36}\frac{5}{36} + $$.......
It is in arithmetic progression,
= $$(\frac{5}{36})(\frac{1}{1 - \frac{31}{36}.\frac{30}{36}})$$
= $$(\frac{5}{36})(\frac{1296}{1296 - 930})$$
= $$(\frac{5}{36})(\frac{1296}{366})$$
= $$\frac{5 \times 6}{61} = \frac{30}{61}$$
Probability of B winning the game is given by,
= $$1 - \frac{30}{61}$$
= $$\frac{31}{61}$$
Hence, option B is the correct answer.
What will be the ratio of simple interest earned by a certain amount at the same rate of interest for 6 years and 9 years?
Solution
Ratio of simple interest earned by a certain amount at the same rate of interest for 6 years and 9 years is
$$\frac{P1 \times R1 \times t1}{100} : \frac{P2 \times R2 \times t2}{100}$$
Where, P1 and P2 = P ; R1 and R2 = R (as the principle and rate of interest for both the cases are same)
t1 = 6 ; t2 = 9
$$\frac{P \times R \times 6}{100} : \frac{P \times R \times 9}{100}$$
$$ 6 : 9 $$ (or) $$ 2 : 3$$
Hence, option C is the correct answer.
An automobile financier claims to be lending money at simple interest but he includes the interest every six months for calculating the principal. If he is charging an interest of 10%, the effective rate of interest becomes
Solution
Let the principle amount be 100
Simple interest for first 6 months = $$\frac{100 \times 1 \times 10}{100 \times 2}$$ = 5
Simple interest for next 6 months = $$\frac{105 \times 1 \times 10}{100 \times 2}$$ = 5.25
Total principle amount after 1 year = 100 + 5 + 5.25 = 110.25
Effective rate of interest = 10.25%
Hence, option B is the correct answer.
A sum of money lent at compound interest for 2 years at 20% per annum would fetch Rs.482 more. If the interest was payable half yearly than if it was payable annually, the sum is
Solution
Let the amount payable be P
Compound interest when compounded half-yearly = $$P(1 + \frac{R}{2 \times 100})^{2t} - P$$
$$\Rightarrow P(1 + \frac{10}{100})^{4} - P$$
$$\Rightarrow P[(\frac{11}{10})^{4} - 1] \Rightarrow P[\frac{14641 -10000}{10000}] = \frac{4641}{10000} P$$
Compound interest when compounded annually = $$P(1 + \frac{R}{100})^{t} - P$$
$$\Rightarrow P(1 + \frac{20}{100})^{2} - P$$
$$\Rightarrow P(1 + \frac{1}{5})^{2} - P \Rightarrow P(\frac{6}{5})^{2} - P = P[(\frac{36}{25}) - 1]$$
$$\Rightarrow P(\frac{11}{25})$$
According to the given question,
$$P(\frac{4641}{10000}) - P(\frac{11}{25}) = 482$$
$$P(\frac{4641- 4400}{10000}) = 482$$
$$P = \frac{4820000}{241}$$ (or) $$P = 20,000$$.
Hence, option B is the correct answer.
Sultan took a loan from the bank at 8% per annum, and was supposed to pay a sum of Rs.2240 at the end of 4 years. If the same sum is cleared off in four equal annual installments at the same rate, the amount of annual installment will be
Solution
Let the amount of annual installment be 'P'
The amount for 1 year,
$$\Rightarrow P + \frac{P \times 1 \times 8}{100} = \frac{27P}{25}$$
The amount for 2 years,
$$\Rightarrow P + \frac{P \times 2 \times 8}{100} = \frac{29P}{25}$$
The amount for 3 years,
$$\Rightarrow P + \frac{P \times 3 \times 8}{100} = \frac{31P}{25}$$
From the given question,
$$\therefore \frac{27P}{25} + \frac{29P}{25} + \frac{31P}{25} = 2240$$
$$\Rightarrow \frac{27P + 29P + 31P}{25} = 2240$$
$$\Rightarrow \frac{112P}{25} = 2240 \Rightarrow P = \frac{2240 \times 25}{112} = 500$$
Hence, option A is the correct answer.
A Circus tent is cylindrical to a height of 3 m and conical above it. If the diameter of the base is 140 m and the slant height of the conical portion is 80 m, the length of canvas 2 m wide required to make the tent is
Solution
Surface area of the tent = 2$$\pi$$rh + $$\pi$$rl
= $$\pi$$r(2h + l)
= $$\frac{22}{7} \times 70(2 \times 3 + 80)$$
= $$18920$$
Width of the canvas = 2m
$$\therefore$$ Length of the Canvas required to make the tent = $$\frac{18920}{2} = 9460$$ m
Hence, option C is the correct answer.
The ratio between the length and breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/ h completes one round in 8 minutes, then the area of the park in sq. m is
Solution
Let length and breadth of the rectangular park be 3x and 2x
Distance covered by the man cycling around the park (in meters) is given by,
$$12 \times \frac{5}{18} \times 8 \times 60 = 1600$$
Perimeter of the rectangular park is equal to 1600
$$\therefore$$ 2(3x + 2x) = 1600
5x = 800 (or) x = 160
Area of the park = $$\times$$ 6x$$^{2}$$
= 6(160 x 160)
= 153600 sq.m
Hence, option B is the correct answer.
If the numbers representing volume and surface area of a cube are equal, then the length of the edge of the cube in terms of the unit of measurement will be
Solution
Let the length of the edge of the be 'a'
Then according to the question,
a$$^{3}$$ = 6a$$^{2}$$
a = 6
Hence, option D is the correct answer.
A metal sheet 27 cm long, 8 cm broad and 1 cm thick is melted into a cube. The difference between the surface area of the two solids, is
Solution
Surface area of the metal sheet = 2(lb + bh + hl)
= 2(27 x 8 + 8 x 1 + 1 x 27)
= 2(216 + 8 + 27)
= 2(251) = 502 cm$$^{2}$$
Edge of the cube which is formed after melting = l x b x h
i.e a$$^{3}$$ = 27 x 8 x 1 (or) a = 6
Surface area of the cube = 6a$$^{2}$$ = 216
Required difference = 502 - 216 = 286 cm$$^{2}$$
Hence, option C is the correct answer.
A, B and C have 40, x and y balls, respectively. If B gives 20 balls to A, he is left with half as many balls as C. If together they had 60 more balls, each of them would have had 100 balls on an average. What is the ratio of x to y?
Solution
If together they had 60 more balls, each of them would have had 100 balls on an average,
$$\frac{40 + X + Y + 60}{3} = 100$$
$$X + Y + 100 = 300 \Rightarrow X + Y = 200$$.........(1)
If B gives 20 balls to A, he is left with half as many balls as C,
$$X - 20 = \frac{1}{2}Y$$
$$2X - 40 = Y$$ (or) $$2X - Y = 40$$..................(2)
Add equations (1) and (2)
$$3X = 240$$ (or) $$X = 80$$
Substitute $$X$$ value in equation (1)
$$80 + Y = 200$$ (or) $$Y = 120$$
$$X : Y = 80 : 120$$ (or) $$2:3$$
Hence, option B is the correct answer.
There are a total of 43800 students in 4 schools of a city. Half the number of students of the first school, two-thirds of the second, three-fourth of the third and four-fifths of the fourth are all equal. What is the ratio of the number of students of A to D, if A, B, C and D be the first, second, third and fourth schools,respectively?
Solution
Given,
Total number of students in 4 schools of a city = 43,800 and
$$\frac{1}{2}(A) = \frac{2}{3}(B) = \frac{3}{4}(C) = \frac{4}{5}(C)$$
$$A : B = 4 : 3$$ and
$$B : D = 6 : 5$$
Now, $$A : B : D = 8 : 6 : 5$$
$$A : D = 8 : 5$$
Hence, option A is the correct answer.
Four numbers are in proportion. The sum of the squares of the four numbers is 50 and the sum of the mean is 5. The ratio of first two terms is 1 : 3. What is the average of the four numbers?
Solution
Let the four numbers be 'a', 'b', 'c' and 'd'
Given ratio of first two numbers is 1:3 and four numbers are in proportion,
$$\therefore$$ a : b = c : d = 1 : 3
$$\Rightarrow$$ b = 3a and d = 3c
Sum of the squares of the four numbers = 50
$$\Rightarrow$$ a$$^{2}$$ + b$$^{2}$$ + c$$^{2}$$ + d$$^{2}$$ = 50
$$\Rightarrow$$ a$$^{2}$$ + 9a$$^{2}$$ + c$$^{2}$$ + 9c$$^{2}$$ = 0
$$\Rightarrow$$ 10a$$^{2}$$ + 10c$$^{2}$$ = 0
$$\Rightarrow$$ a$$^{2}$$ + c$$^{2}$$ = 0........(1)
Sum of the means = 5
b + c = 5
3a + c = 5 (as b = 3a)
a = $$\frac{5 - c}{3}$$........................(2)
From equations (1) and (2)
$$(\frac{5 - c}{3})^{2} + c^{2} = 0$$
$$\frac{25 + c^{2} - 10c}{9} + c^{2} = 5$$
$$25 + c^{2} - 10c + 9c^{2} = 5$$
$$10c^{2} - 10c + 20 = 0$$
$$c^{2} - c + 10 = 0$$
After solving the equation we get, c = 2.
Substitute the value of 'c' in equation (2)
a = $$\frac{5 - 2}{3}$$ (or) a = 1
We know b = 3a (or) b = 3
We know d = 3c (or) d = 6
Average of the four numbers,
= $$\frac{1 + 3 + 2 + 6}{4}$$
= 3
Hence, option B is the correct answer.
The concentration of petrol in three different mixtures (of petrol and kerosene) is $$\frac{1}{2}, \frac{3}{5}$$ and $$\frac{4}{5}$$ respectively. If 2 litres, 3 litres and 1 litre are taken from these three different vessels and mixed, what is the ratio of petrol and kerosene in the new mixture?
Solution
Quantity of Petrol in the mixture,
= $$\frac{1}{2}$$ x 2 + $$\frac{3}{5}$$ x 3 + $$\frac{4}{5}$$ x 1
= $$1 + \frac{9 + 4}{5}$$
= $$\frac{18}{5}$$
Quantity of kerosene in the mixture,
= $$\frac{1}{2}$$ x 2 + $$\frac{2}{5}$$ x 3 + $$\frac{1}{5}$$ x 1
= $$1 + \frac{6 + 1}{5}$$
= $$\frac{12}{5}$$
Ratio of petrol and kerosene in the mixture,
= $$\frac{18}{5} : \frac{12}{5}$$
= $$3 : 2$$
Hence, option B is the correct answer.
A company CEO invited nine persons for a business meeting, where the host will be seated at a circular table. How many different arrangements are possible if two invitees X and Y be seated on either side of the host CEO?
Solution
Number of persons in the meeting = 9 + 1(host) = 10 persons
Except X, Y and the host the number of ways the other 7 persons are arranged = 7!
Now, X and Y can be seated on either side of the host i.e in 2 ways.
Total number of ways = 7! x 2 = 10080
Hence, option A is the correct answer.
Find the number of ways in which ten different flowers can be strung together to make a garland in such a way that three particular flowers are always together?
Solution
Three particular flowers are taken as '1' as these flowers are taken together.
Now total number of flowers is '8' and these flowers can be arranged in 8! ways. And
Three particular flowers are arranged in 3! ways.
Total number of ways = 8! x 3! = 241920
Hence, option D is the correct answer.
A committee of 3 experts is to be selected out of a panel of 7 persons. Three of them are engineers, Three are managers and, one is both engineer and manager. In how many ways can the committee be selected if it must have atleast one engineer and one manager?
Solution
Number of ways the committee be selected with atleast one engineer and one manager,
= $$3_{C_{1}}3_{C_{1}}3_{C_{1}} + 3_{C_{1}}3_{C_{2}} + 3_{C_{2}}3_{C_{1}} + 3_{C_{2}}1_{C_{1}} + 3_{C_{2}}1_{C_{1}}$$
= 9 + 9 + 9 + 3 + 3 = 33
Hence, option A is the correct answer.
A cricket team of 11 players is to be formed from a pool of 16 players that includes 4 bowlers and 2 wicket-keepers. In how many different ways can a team be formed so that the team has at least 3 bowlers and wicket keeper?
Solution
Number of different ways so that the team has at least 3 bowlers and wicket keeper,
= $$4_{C_{3}}2_{C_{1}}10_{C_{7}} + 4_{C_{4}}2_{C_{1}}10_{C_{6}} + 4_{C_{3}}2_{C_{2}}10_{C_{6}} + 4_{C_{4}}2_{C_{2}}10_{C_{5}}$$
= 4 x 2 x 120 + 1 x 2 x 210 + 4 x 1 x 210 + 1 x 1 x 252
= 960 + 420 + 840 + 252
= 2472
Hence, option A is the correct answer.
Vijay purchased two different kinds of alcohol. In the first mixture the ratio of alcohol to water is 3 : 4 and in the second mixture it is 5 : 6. If he mixes the two given mixtures and makes a third mixture of 18 litres in which the ratio of alcohol to water is 4 : 5, the quantity of the first mixture (whose ratio is 3 : 4) that is required to make 18 litres of the third kind of mixture is
Solution
By using allegation method,
Ratio of first mixture to second mixture mixed in third mixture,
$$\Rightarrow \frac{1}{99} : \frac{1}{63}$$
$$\Rightarrow \frac{1}{11} : \frac{1}{7}$$
$$\Rightarrow$$ 7 : 11
Required quantity,
$$\Rightarrow \frac{7}{18}$$ x 18 = 7
Hence, option B is the correct answer.
The average marks of the students in four sections A, B, C and D of a school is 60%. The average marks of the students of A, B, C and D individually are 45%, 50%, 72% and 80%, respectively. If the average marks of the students of sections A and B together is 48% and that of the students of B and C together is 60%, what is the ratio of the number of students in sections A and D?
Solution
Let $$a,b,c,d$$ be the number of students in A, B, C and D respectively
Given, average marks of the students in section A, B, C and D of the school = 60
Then $$\frac{45a + 50b + 72c + 80d}{a + b + c + d} = 60$$%
= $$45a + 50b + 72c + 80d = 60a + 60b + 60c + 60d$$
= $$12c + 20d = 15a + 10b$$..........(1)
Average marks of the students of sections A and B together is 48%,
= $$\frac{45a + 50b}{a + b} = 48$$%
= $$45a + 50b = 48a + 48b$$
= $$3a = 2b$$ (or) $$15a = 10b$$...............(2)
Average marks of the students of sections B and C together is 60%
= $$\frac{72c + 80d}{c + d} = 60$$%
= $$72c + 80d = 60c + 60d
= $$12c = 20d$$............(3)
Substitute equations (2) and (3) in equation (1)
$$\Rightarrow 20d + 20d = 15a + 15a$$
$$\Rightarrow 40d = 30a$$
$$\Rightarrow a : d = 4 : 3$$
Hence, option B is the correct answer.
Two casks of 48 litres and 42 litres are filled with mixtures of milk and water, the proportions in the two casks being respectively, 13 : 7 and 18 : 17. If the contents of the two casks be mixed and 20 litres of water be added to the whole, what will be the proportion of milk and water in the resulting mixture?
Solution
Quantity of milk in the mixture,
= $$\frac{13}{20} \times 48 + \frac{18}{35} \times 42$$
= $$\frac{156}{5} + \frac{108}{5} = \frac{264}{5}$$L
Quantity of water in the mixture,
= $$\frac{7}{20} \times 48 + \frac{17}{35} \times 42$$
= $$\frac{84}{5} + \frac{102}{5} = \frac{186}{5}$$L
20L of mixture is added to the mixture,
= $$\frac{186}{5} + 20 = \frac{186 + 100}{5}$$
= $$\frac{286}{5}$$L
Required ratio = $$\frac{264}{5} : \frac{286}{5}$$
= 12 : 13
Hence, option C is the correct answer.
Two companies A and B quote for a tender. On the tender opening day, A realises that the two quotes are in the ratio 7 : 4 and hence decreases its price during negotiations to make it Rs.1 lakh lower than B's quoted price. B then realises that the final quotes of the two were in the ratio 3 : 4. By how much did A decrease its price in order to win the bid?
Solution
Let the quotes of A and B be $$7x$$ and $$4x$$
According to the question,
= $$\frac{4x - 1}{4x} = \frac{3}{4}$$
= $$4x - 1 = 3x$$ (or) $$x = 1$$ Lakh
Amount decreased by A in price to win the bid is given by,
= $$7x - (4x - 1)$$
= $$3x + 1 = 4$$ Lakh
Hence, option B is the correct answer.
To fill a certain tank, pipes A, B and C take 20 minutes, 15 minutes and 12 minutes respectively. If the three pipes are opened every alternate minute, how long will it take to fill the tank?
Solution
Part filled by 3 pipes in 3 minutes = $$\frac{1}{20} + \frac{1}{15} + \frac{1}{12} = \frac{3 + 4 + 5}{60} = \frac{1}{5}$$
1/5th of the tank is filled in 3 minutes then whole tank is filled in 5 x 3 = 15min
Hence, option D is the correct answer.
A bath can be filled by the cold water and hot water pipes in 10 minutes and 15 minutes respectively. A person leaves the bathroom after turning on both pipes simultaneously and returns at the moment when the bath should be full. Finding, however, that the waste pipe has been open, he then closes it. In exactly four minutes more the bath is full. In how much time would the waste pipe empty the full bath, if it alone is opened?
Solution
Time taken by the hot and cold water pipes to fill the bath,
= $$\frac{10 \times 15}{10 + 15} = 6$$ min
Total time taken to fill the bath including the empty pipe is also open = (6 + 4) = 10 min
Let '$$x$$' be the time taken by empty pipe to empty the bath.
$$\therefore \frac{1}{10} + \frac{1}{15} + \frac{1}{x} = \frac{1}{10}$$
$$\Rightarrow \frac{1}{x} = \frac{1}{15}$$
$$\Rightarrow x = 15$$ min
Hence, option D is the correct answer.
A, B and C are three pipes attached to a cistern. A and B can fill it in 20 minutes and 30 minutes respectively, while C can empty it in 15 minutes. If A, B and C be kept open successively for 1 minute each, how soon will the cistern be filled?
Solution
Part filled by A, B and emptied by C in one minute = $$\frac{1}{20}, \frac{1}{30}$$ and $$\frac{1}{15}$$
Part filled by three pipes in 3 minutes = $$\frac{1}{20} + \frac{1}{30}$$ - $$\frac{1}{15}$$
$$\Rightarrow \frac{3 + 2 - 4}{60} = \frac{1}{60}$$
Cistern can be filled in 60 x 3 = 180 minutes.
Hence, option A is the correct answer.
Two taps can separately fill a cistern in 10 minutes and 15 minutes respectively. If these two pipes and a waste pipe are kept open simultaneously, the cistern gets filled in 18 minutes. The waste pipe can empty the full cistern in
Solution
Let, the time taken by waste pipe to empty the cistern = '$$x$$'
Part filled by two pipes in 1 minute is 1/10 and 1/15 respectively and the cistern gets filled in 18 minutes (given).
Net part filled in 1 hour is given by,
$$\frac{1}{10} + \frac{1}{15} - \frac{1}{x} = \frac{1}{18}$$
$$\frac{1}{10} + \frac{1}{15} - \frac{1}{18} = \frac{1}{x}$$
$$\frac{9 + 6 - 5}{90} = \frac{1}{x}$$
$$\frac{10}{90} = \frac{1}{x}$$ or $$x = 9$$ minutes
Hence, option D is the correct answer.
Raghu travelled 1200 km by air which formed $$\frac{2}{5}^{th}$$ of his trip. One - third of the whole trip he travelled by car and the rest of the journey he did by train. The distance travelled by train is
Solution
Let, the whole distance travelled be 'x',
Raghu travelled 1200 km by air which formed $$\frac{2}{5}^{th}$$ of his trip,
$$\frac{2}{5}^{th}$$ of x = 1200
x = 3000 km
One - third of the whole trip he travelled by car,
$$\frac{1}{3}$$ x 3000 = 1000 km
The rest of the journey he did by train,
$$\therefore$$ The distance travelled by train = 3000 - (1200 + 1000)
$$\Rightarrow$$ 800 km
Hence, option B is the correct answer.
A man has to cover a distance of 6 km in 45 minutes. If he covers one-half of the distance in $$\frac{2}{3}^{rd}$$ time, what should be his speed to cover the remaining distance in the remaining time?
Solution
Remaining Distance to be covered = 6 - $$\frac{1}{2}$$ x 6 = 3 km
Remaining time = 45 - $$\frac{2}{3}$$ x 45 = 15 minutes (or) $$\frac{1}{4}$$hour
Required speed to cover the remaining distance in the remaining time,
= $$\frac{3}{(\frac{1}{4})} = 12$$ km/h
Hence, option A is the correct answer.
A man starts cycling from A to B and, at the same time, another man starts cycling from B to A along the same path. They completed their journeys in $$1\frac{2}{3}$$ and $$2\frac{2}{5}$$ hours, respectively. At what speed has the second man cycled if the first cycles at 16 km/h?
Solution
Distance travelled by A and B is same.
Time taken by A to complete the journey = $$\frac{5}{3}$$ h
Speed at which A travelled = 16 km/h
Distance travelled by A = $$\frac{5}{3} \times 16 = \frac{80}{3}$$ km
Now, speed of the second man is given by,
S = $$\frac{80/3}{12/5}$$
S = $$\frac{80 \times 5}{3 \times 12}$$
S = $$\frac{100}{9} = 11\frac{1}{9}$$ km/h
Hence, option C is the correct answer.
Two men A and B start walking from a place 'X' at $$4\frac{1}{2}$$ km/h and $$5\frac{3}{4}$$ km/h respectively. How many km apart will they be at the end of $$3\frac{1}{2}$$ hours if they are walking in the same direction?
Solution
Relative speed between A and B is given by,
$$\frac{23}{4} - \frac{9}{2} = \frac{23 - 18}{4} = \frac{5}{4}$$ km/h
Total number of km's away is given by,
D = $$\frac{5}{4} \times \frac{7}{2}$$
D = $$\frac{35}{8}$$ (or) $$4\frac{3}{8}$$ km
Hence, option C is the correct answer.
Study the graph to answer these questions.
The bar graph below shows the sales of six different cell phone manufacturers in 2011 (in '000units).
The Adjoining pie chart shows the breakeup of brand C alone in the same year for those countries where it is sold.
2011 Global Sales ('000s)
.png)
Brand 'C' Country-wise sales
_D0Jl4bI.png)
What is the differences in volume of sales of brand C in UK and India?
Solution
Total sales of brand C in 2011 = 47,000
Difference between volume of sales of brand C in UK and India is given by,
$$\Rightarrow$$ (16% of 47,000) - (9% of 47,000)
$$\Rightarrow$$ 7% of 47,000 = 0.07 x 47,000 = 3290.
Hence, option B is the correct answer.
By what percentage should global sales of 'C' phone increase, so that its sales volume in korea becomes 7000 units, while the volume of sales to all other countries remains the same?
Solution
Volume of sales of brand C in korea = 14% of 47,000 = 6580
To make it 7000 we need to add 420 to it.
Percentage increase in sales of C phone = $$\frac{420}{47000} \times 100 = 0.9$$(approx)
Hence, option B is the correct answer.
If in 2012 the global sales of brand C increases by 12%, while its sale in USA increases by 34% and in china by 22%, what is the approximate sales increase in the rest of the countries taken together?
Solution
In 2011, global sales of brand C = 47000
In 2012, global sales of brand C = 112% of 47000 = 52640
Total sales in USA in 2011 = 18% of 47000 = 8460
Total sales in USA in 2012 = 134% of 8460 = 11,336.4
Total sales of China in 2011 = 21% of 47000 = 9870
Total sales of China in 2012 = 122% of 9870 = 12041.4
Total sales in rest of the country in 2011,
= 47000 - (8460 + 9870)
= 47000 - 18330 = 28670
Total sales in rest of the country in 2012,
= 52640 - (11336.4 + 12041.4)
= 52640 - 23377.8 = 29262.2
Percentage increase in the rest of the countries,
= $$\frac{29262.2 - 28670}{28670} \times 100$$
= $$\frac{592.2}{28670} \times 100$$
= 2% (approx)
Hence, option C is the correct answer.
If A alone registers growth in sales in 2012 and draws level with the volume of B, what would be their combined share of the global sales volume?
Solution
Given, A alone grows in 2012 and draws level with B in global sales. So, sales of A becomes 32.
Combined share of A and B in global share = $$\frac{32 + 32}{32 + 32 + 47 + 54 + 28 + 12} = \frac{64}{205}$$ = 31.2%
Hence, option B is the correct answer.
If the sale of phones in 2012 registers a uniform 33% growth across all brand and all countries, what would be the combined sales volume of phones in india, Japan and Korea taken together, in that year?
Solution
Given that there is a uniform 33% growth across all brands and countries.
Global sales of all brands in 2012 = 133% of (21 + 32 + 47 + 54 + 28 + 12)
= 133% of 194
= 258.02 x 1000 units
combined sales volume of phones in india, Japan and Korea taken together in that year,
= (9 + 10 + 14)% of 258.02 x 1000
= 33% of 258.02
= 85146.6 $$\approx$$ 85124.6
Hence, option C is the correct answer.
Study the table below to answer these questions
The Table shows the quantities of minerals exported from India to six different countries A,B,C,D,E and F(in '000 tonnes) in the year 2010.
If the second-largest importing country increases its off-take of all the minerals, taken together, from india and is at par with the largest importer, its share of the total exports of minerals from india would be?
Solution
Largest importing country is E whose imports = (32 + 29 + 48 + 2 + 3) = 114 units
Second largest importing country is C whose imports = (25 + 22 + 26 + 20 + 8) = 101 units
Second largest importing country is at par with largest importing country. Its share of the total exports is given by,
= $$\frac{114}{69 + 84 + 114 + 23 + 114 + 96} \times 100$$
= $$\frac{114}{500} \times 100$$
= $$22.8 \approx 23$$%
Hence, option C is the correct answer.
If India were to ban the export of gold altogether, by what approximate percentage should the export of the rest of the minerals increase so that the total quantity of minerals exported remains the same?
Solution
Total quantity of gold exported by India to all six countries = 28
Total quantity of other minerals except gold exported by India to all six countries = 103+149+132+75 = 459
Here, 28 units of other minerals should be added instead of gold to the present 459 units to keep the total exported minerals same.
$$\therefore$$ Percentage increase in the export of rest of the minerals is given by,
$$\frac{28}{459}$$ x 100 = 6 (approx)
Hence, option D is the correct answer.
Eighteen per cent of country E's total requirement of iron ore is being met by imports from India. Next year its total requirement of iron ore is expected to fall by 22% and only 12% of the revised requirement will be imported from India. Assuming all other exports to country E by India remain at the same level, what would be its total percentage drop in quantity exports to E?
Solution
From the given question,
18% of E's Iron ore requirement = 32000 units
E's total Iron ore requirement = 32000 x (100/18) = 177777.78
E's requirement of Iron ore in 2011 = 78% of 177777.78 = 138666.6684
Only 12% of the revised requirement will be imported from India.
$$\therefore$$ Import of iron ore from India in 2011 = 16640
Total imports of E from India in 2010 = (32 + 29 + 48 + 2 + 3) = 114 x 1000 units
Total imports of E from India in 2011 = 16640 + (29 + 48 + 2 + 3) x 1000 = 98640
Required drop in percentage is given by,
= $$\frac{114000 - 98640}{114000} \times 100$$
= $$\frac{15360}{114000} \times 100$$
= $$13.4$$%
Hence, option C is the correct answer.
If international demand for coal from India rises by 12%, that of Iron ore by 8% and copper by 15%, by how much percent will total export from India rise, assuming export of Gold and silver remain at the same level?
Solution
International demand for coal from India rises by 12%,
$$\Rightarrow$$ 112% of 149 = 166.88
For Iron ore,
$$\Rightarrow$$ 108% of 103 = 111.54
For Copper,
$$\Rightarrow$$ 115% of 75 = 86.25
Total percentage rise in exports from India is given by,
= $$\frac{(111.54 + 166.88 + 132 + 86.25 + 28) - 487}{487} \times 100$$
= $$\frac{524.37 - 487}{487} \times 100$$
= $$\frac{37.37}{487} \times 100$$
= $$7.6$$%
Hence, option D is the correct answer.
If due to rise in prices, voume of exports of Gold decreases by 12% while that of Silver decreases by 14%, but due to global rise in car production levels, however, demand for Iron ore increases by 6%, what is the net effect on volume of exports from India
Solution
Volume of gold decreases by 12%,
= 88% of 28 = 24.64
Volume of silver decreases by 14%,
= 86% of 132 = 113.52
Volume of Iron ore increases by 6%,
= 106% of 103 = 109.18
New volume = 109.18 + 149 + 113.52 + 75 + 24.64 = 471.34
Percentage decrease is given by,
= $$\frac{487 - 471.34}{487} \times 100$$
= $$\frac{15.66}{487} \times 100$$
= $$3.2$$%
Hence, option D is the correct answer.
Each of these has a question folowed by two statements numbered I and II.
If a certain village is losing 12% of its water supply each day because of a burst water pipe, then what is the loss in rupee per day?
I. The daily water supply to the village is 700m gallon.
II. The cost to the village for every 24000 gallons of water lost is ₹25.
Solution
(i) The daily water supply to the village = 700 million gallons
From this 12% is lost i.e 84 million gallons
(ii) Cost for every 24,000 gallons of water lost = ₹25 and for 84 millions it is 25 x 3500 = 87500 rs
Using (i) and (ii) we can find the loss in rupee per day.
Hence, option C is the correct answer.
Dipesh had a lawyer's appointment on a certain day. Was the appointment on a Tuesday?
I. Exactly 60 h before the appointment, it was sunday
II.The appointment is between 1:00pm to 9:00pm.
Solution
From (i) it is not certain that the appointment was on Tuesday. Because if the appointment was at 6 am then exactly after 60 h it is Tuesday.
But if the appointment was at 6 pm then exactly after 60 h it is not Tuesday. We cannot solve the question using only (i)
From (ii), it is not certain that it is Tuesday as only time is given.
But from (i) and (ii) we can say that the appointment was on Tuesday if we take any time between 1pm and 9pm.
Question can be solved using both the statements.
Hence, option C is the correct answer.
What is the weighted averaged of marks obtained by Ashokan?
I. Math, Science and English have weights 5, 4 and 3 respectively.
II. Simply arithmetic mean of math and science is 140, which is twice his average of science and English
Solution
From (ii),
$$\Rightarrow$$ (M + S)/2 = 140
$$\Rightarrow$$ M + S = 280 and
$$\Rightarrow$$ S + E = 140
We cannot find values of his marks obtained from the above two equations and from (i) only weights of the subjects are given.
To find the weighted average we need both weights and values of the subjects. So from (i) and (ii) we cannot solve the question.
Hence, option D is the correct answer.
Total amount of ₹38500 was distributed among Anuj, Sonam and Depak. How much does each get?
I. Anuj gets $$\frac{2}{9}$$ of what the other two together get.
II. Sonam gets $$\frac{3}{11}$$ of what the other two together get.
Solution
From the given question, Anuj(A) + Sonam(S) + Depak(D) = 38,500
From (i), A = $$\frac{2}{9}(S + D)$$
A = $$\frac{2}{9}(38,500 - A)$$
From the above equation we can find the amount received by Anuj
From (ii), S = $$\frac{3}{11}(A + D)$$
S = $$\frac{3}{11}(38,500 - S)$$
From the above equation we can find the amount received by Sonam
Now from the given question we can find the amount received by Depak also. So both the statements are required to answer the question.
Hence, option C is the correct answer.
Nitu and Arun start walking towards each other simultaneously. What is the distance between them when thay start?
I. 30 min after crossing each other they were 1200 m apart.
II.After crossing each other, Nitu reaches the starting point of Arun in Twice as much as Arun takes to reach the starting point of Nitu.
Solution
Even using the both statements we cannot find the distance between them.
Hence, option D is the correct answer.
Two quantities A and B are given in each of the following questions.
A. The number of ways you can divide 6 different candies to 4 different people.
B. The number of ways you can divide 7 different candies to 3 different people.
Solution
The number of ways you can divide 6 different candies to 4 different people is given by,
= $$6_{C_{4}}$$ or $$6_{C_{2}} = \frac{6 \times 5}{1 \times 2} = 15$$
The number of ways you can divide 7 different candies to 3 different people is given by,
= $$7_{C_{3}} = \frac{7 \times 6 \times 5}{1 \times 2 \times 3} = 35$$
Quantity B is greater than quantity A.
Hence, option B is the correct answer.
Arun and Rakesh bought the same brand of car. Arun got 10% discount from the dealer after which 7% sales tax was added. For Rakesh 7% tax was added and only then a 10% discount was given.
A. The amount Arun paid for the car
B. The amount Rakesh paid for the car
Solution
Let the price of the car which Arun and Rakesh bought be 'x'
A) Arun got 10% discount from the dealer after which 7% sales tax was added,
Effective price of the car = 90 % of 93% of x
B) For Rakesh 7% tax was added and only then a 10% discount was given,
Effective price of the car = 93% of 90% of x
Both the quantities are equal.
Hence, option C is the correct answer.
The Average Height in the class didn't change after Shaan and John left and Aarti and Geetha came
A. The height of Shaan
B. the height of Aarti
Solution
From the given question,
Total height of Shaan and John = Total height of Aarti and Geetha.
Seperate heights cannot be determined.
Hence, option D is the correct answer.
Travis received an allowance. With a fifth of the money, he bought a ticket to a movie and with a quartar of what is left he bought a slice of pizza?
A. The price of movie ticket
B. The price of slice of pizza
Solution
Let the amount received by travis as allowance = 100
Amount spent on movie ticket = $$\frac{1}{5}$$ x 100 = 20
Remaining amount = 100x - 20x = 80x
Amount spent on a slice of pizza = $$\frac{1}{4}$$ x 80= 20
Amounts spent on movie ticket and slice of pizza is same
Hence, option C is the correct answer.
Mukesh and Vijay each have some stamps while Sharon has none. They decided to give Sharon half of the number that Mukesh has and half of the number that Vijay has
A. The average number of stamps that Mukesh and Vijay have before giving Sharon any stamps.
B. The number of stamps that Sharon gets from Mukesh and Vijay
Solution
Let the number of stamps with Mukesh and Vijay be 100 each
If they give half of the stamps to Sharon then,
Mukesh will have 50 stamps, Vijay will have 50 stamps and Sharon will have 100 stamps
A) The average number of stamps that Mukesh and Vijay have before giving Sharon any stamps = (100 + 100)/2 = 100
B) The number of stamps that Sharon gets from Mukesh and Vijay = (50 + 50) = 100
Both the quantities are equal.
Hence, option C is the correct answer.
What is the ratio of the number of cars sold of model A in 2010 to the number of cars sold of model C in 2011?
Solution
The ratio of the number of cars sold of model A in 2010 to the number of cars sold of model C in 2011 is given by,
= 21% of 2222 : 26% of 2884
= 3 x 1111 : 26 x 206
= 0.62 : 1
Hence, option C is the correct answer.
By how much percentage is the increase in sale from 2010 to 2011 of model D more/less than that of model C?
Solution
Increase in sales of model D from 2010 to 2011,
= 16% of 2884 - 16% of 2222
= 16% of 662
= 105.92
Increase in sales of model C from 2010 to 2011,
= 26% of 2884 - 22% of 2222
= 749.84 - 488.84
= 261
Increase in sales of model C is more than sales of model D from 2010 to 2011.
Required percentage = $$\frac{261 - 105.92}{261} \times 100 = \frac{155.08}{261} \times 100 = 59$$%
Hence, option C is the correct answer.
How many models have registered higher percentage increase in sales individually, as compared to the percentage increase in total sales?
Solution
Total percentage increase from 2010 to 2011,
= $$\frac{2884 - 2222}{2222} \times 100 = 29.79$$%
Percentage increase in sales of A,
= $$\frac{0.27 \times 2884 - 0.21 \times 2222}{0.21 \times 2222} \times 100 = 66.87$$%
Percentage of increase in sales of B,
= $$\frac{0.25 \times 2884 - 0.25 \times 2222}{0.25 \times 2222} \times 100 = 29.79$$%
Percentage of increase in sales of C,
= $$\frac{0.26 \times 2884 - 0.22 \times 2222}{0.22 \times 2222} \times 100 = 53.33$$%
Percentage of increase in sales of D,
= $$\frac{0.16 \times 2884 - 0.16 \times 2222}{0.16 \times 2222} \times 100 = 29.79$$%
Percentage of increase in sales of E,
= $$\frac{0.08 \times 2884 - 0.12 \times 2222}{0.12 \times 2222} \times 100 =$$ Some negative value
Percentage of increase in sales of F,
= $$\frac{0.06 \times 2884 - 0.04 \times 2222}{0.04 \times 2222} \times 100 = 94.68$$%
Three models i.e A, C, F have registered higher percentage increase in sales individually.
Hence, option B is the correct answer.
If the decilining trend in model B sales is projected to continue in 2012 as well, what would be the approximate model B increase in total sales?
What was the ratio of the combined sales of the two highest selling models to that of the two lowest selling models in 2011?
Solution
Two highest selling models in 2011 = (27% + 26%) of 2884
Two lowest selling models in 2010 = (8% + 6%) of 2884
Their ratio = (27% + 26%) of 2884 : (8% + 6%) of 2884
= 53% of 2884 : 14% of 2884
= 53 : 14
= 4 : 1 (approx)
Hence, option D is the correct answer.
Study the information below and answer these questions.
The adult population of a town in 1990 was 20440 people of which 53% were females while 60% were illiterates. Of these, the number above the age of 50 in that year was 17%. In the 2000 Census, it was found that adult population has reached 30760, 48% of them being females. Of the total adult population in 2000, 72% were below the age of 50 and total illiterates were 7000. Assume uniform pattern of age distribution amongst males and females.
What is the ratio of adult females below the age of 50 in the year 1990 and 2000?
Solution
Adult females below the age of 50 in the year 1990,
53% of 16965.2 = 8991.556 = 8992 (approx)
Adult females below the age of 50 in the year 2000,
48% of 22147.2 = 10630.656 = 10631 (approx)
Ratio = 8992 : 10631
= 1 : 1.18
Hence, option C is the correct answer.
If every adult female above the age of 50 was given a special annual allowance of 24000 in 1990 which was increased to 30000 by the year 2000, by what percentge has the quantum of this annual allowance increased/decreased from 1990 to 2000?
Solution
Adult females above the age of 50 in 1990 = 53% of 3474.8 = 1841.644
Total allowance given = 1842 x 24000 = 4,42,08,000
Adult females above the age of 50 in 2000 = 48% of 8612.8 = 4134
Total allowance given = 4134 x 30000 = 12,40,20,000
$$\therefore$$ Percentage increase in annual allowance from 1990 to 2000,
= $$\frac{12,40,20,000 - 4,42,08,000}{4,42,08,000} \times 100$$
= $$\frac{79812}{44208} \times 100$$
= $$180$$%
Hence, option D is the correct answer.
What is the ratio of total adult illiterates in 1990 to total adult females below 50 in 2000?
Solution
Total adult illiterates in 1990 = 12264
Total adult females below 50 in 2000 = 48% of 22147.2 = 10631
Ratio = 12264 : 10631
= 1.15 : 1
Hence, option B is the correct answer.
What has been the percentage increase in adult literates from 1990 to 2000?
Solution
Total number of adult literates in 1990 = 8176
Total number of adult literates in 2000 = 23760
Percentage increase = $$\frac{23760 - 8176}{8176} \times 100$$
= $$\frac{1558400}{8176} = 190.60 = 191$$% (approx)
Hence, option B is the correct answer.
If expense incurred on education (per literate adult) in 1990 was 1200 and the same had increased by 25% in 2000. What is the percentage increase in expenditure under this head?
Solution
Total adult literates in 1990 = 8176
Total expense on education in 1990 = 1200 x 8176 = 9811200
Total adult literates in 2000 = 23760
Total expense on education in 2000 = 125% of 1200 x 23760 = 35640000
Percentage increase = $$\frac{35640000 - 9811200}{9811200} \times 100$$
= $$\frac{25828800}{98112} = 263$$%
Hence, option B is the correct answer.
Study the graph to answer these questions.
The graph below shows the number of graduates (in '000) of different streams, in six different states of country.
The total number of graduates of which two stream's from all the states taken together are in the ratio 4:5?
Solution
Let's check option A, i.e check whether Science and Engineering streams has ratio 4:5
Total number of graduates in science = (22 + 28 + 34 + 32 + 40 + 12) x 1000 = 168 x 1000
Total number of graduates in Engineering = (24 + 28 + 62 + 58 + 12 + 26) x 1000 = 210 x 1000
Ratio = 168 x 1000 : 210 x 1000
= 4 : 5
Hence, option A is the correct answer.
In which two states is the number of IT graduates, as a percentage of the total number of graduates in that state, most nearly the same?
Solution
Percentage of IT graduates in state A,
= $$\frac{31}{46 + 31 + 23 + 22} \times 100 = \frac{3100}{122} = 25.4$$%
Percentage of IT graduates in state B,
= $$\frac{38}{41 + 38 + 28 + 28} \times 100 = \frac{38}{135} = 28.14$$%
Percentage of IT graduates in state C,
= $$\frac{22}{62 + 34 + 26 + 23} \times 100 = \frac{22}{145} = 15.17$$%
Percentage of IT graduates in state D,
= $$\frac{18}{59 + 45 + 31 + 18} \times 100 = \frac{18}{153} = 11.76$$%
Percentage of IT graduates in state E,
= $$\frac{27}{38 + 28 + 24 + 12} \times 100 = \frac{27}{102} = 26.47$$%
Percentage of IT graduates in state F,
= $$\frac{16}{54 + 25 + 16 + 11} \times 100 = \frac{16}{106} = 15.09$$%
$$\therefore$$ Percentage of IT graduates in C and F is mostly same.
Hence, option A is the correct answer.
By what percent is the sum total of Engg. graduates in B, C and F taken together greater than the sum total of Arts graduates in D and E taken together?
Solution
Total number of Engineering graduates in B, C, F taken together = 28 + 62 + 26 = 116 x 1000
Total number of Arts graduates in D and E taken together = 45 + 24 = 69 x 1000
Required percentage = $$\frac{116 - 69}{69} \times 100 = \frac{47}{69} \times 100 = 68$$%
Hence, option B is the correct answer.
The number of Science graduates in all the states combined is what percent of the number of graduates of all other streams taken together?
Solution
Total number of science graduates in all states = 164 x 1000
Total number of graduates of all other streams taken together = (155 + 235 + 210) = 600 x 1000
$$\therefore$$ Required percentage = $$\frac{164}{600} \times 100 = 27.9$$%(approx)
Hence, option B is the correct answer.
In which states is the difference between the number of Engg. and IT graduates higher than the differece between the number of Science and Arts graduates?
Solution
Difference between Engineering graduates and IT graduates and Science and arts graduates from all the states (in thousands) is given by,
In state A - |31 - 24| = 7 and |22 - 26| = 4
In state B - |38 - 28| = 10 and |28 - 42| = 14
In state C - |24 - 62| = 38 and |35 - 28| = 7
In state D - |18 - 58| = 40 and |32 - 45| = 13
In state E - |28 - 12| = 16 and |39 - 24| = 15
In state F - |18 - 26| = 8 and |12 - 52| = 40
Thus in states C, D, E Difference between Engineering graduates and IT graduates is higher than difference between Science graduates and
Arts graduates.
Hence, option D is the correct answer.
Study the graph to answer these questions.
The graph below shows sales of different colour of Brand-X refrigerator for the year 2009, 2010 and 2011.
Brand-X: Sales volume by colour of refrigrator(in '000s)
Over the given three years which has been the highest selling colour; and what percentage of volume did it account for?
Solution
Sales of red colour refrigerator in all the given years in thousands = (20 + 30 + 45) = 95
Sales of Blue colour refrigerator in all the given years in thousands = (25 + 32 + 48) = 105
Sales of Lemon colour refrigerator in all the given years in thousands = (47 + 23 + 32) = 102
Sales of Grey colour refrigerator in all the given years in thousands = (2 + 27 + 34) = 63
Sales of White colour refrigerator in all the given years in thousands = (32 + 45 + 43) = 120
Highest selling colour is white. Percentage of volume it accounted for, is given by,
Required percentage = $$\frac{120}{95 + 105 + 102 + 63 + 120} \times 100$$
= $$\frac{12000}{485} = 25$$% (approx)
Hence, option B is the correct answer.
Sale of which colour(s) of refrigrator registered the highest percentage increase between 2010 and 2011?
Solution
Percentage increase in red colour from 2010 to 2011 = $$\frac{45 - 30}{30} \times 100 = \frac{15}{30} \times 100 = 50$$%
Percentage increase in blue colour from 2010 to 2011 = $$\frac{48 - 32}{32} \times 100 = \frac{16}{32} \times 100 = 50$$%
Percentage increase in Lemon colour from 2010 to 2011 = $$\frac{32 - 23}{23} \times 100 = \frac{9}{23} \times 100 = 39.13$$%
Percentage increase in Grey colour from 2010 to 2011 = $$\frac{34 - 27}{27} \times 100 = \frac{7}{27} \times 100 = 25.92$$%
There is no increase from 2010 to 2011 in white colour.
Sales in red and blue colour registered highest percentage increase.
Hence, option C is the correct answer.
What is the share of sales volume accounted for by the year 2011?
Solution
Sales in 2011 = 45 + 48 + 32 + 34 + 43 = 202
Sales of all the refrigrator's in all the years
= (20 + 30 + 45) + (25 + 32 + 48) + (47 + 23 + 32) + (2 + 27 + 34) + (32 + 45 + 43) = 485
Share of sales volume accounted for by the year 2011 is given by,
= $$\frac{202}{485} \times 100 = 41.64$$
Hence, option D is the correct answer.
What is approximately the ratio of sales of Red, Lemon and White refrigrators, taken together, in 2010 to that of the combined total sales of Blue and Grey ones in 2009 and 2011 taken together?
Solution
Total sales of Red, Lemon and White refrigrator taken together in 2010 = (30 + 23 + 45) = 98
Total sales of Blue and Grey ones in 2009 and 2011 taken together = (25 + 2 + 48 + 34) = 109
Ratio between them = 98 : 109 $$\cong$$ 9 : 10
Hence, option A is the correct answer.
How many instances are there in the graph where the difference in sale of refrigrators was greater or lesser by 35% or more as compared to the previous year?
Solution
Percentage in sale of refrigrator,
For red = $$\frac{15 - 10}{10} \times 100 = 50$$%
For Blue = $$\frac{16 - 7}{7} \times 100 = 128.5$$%
For Lemon = $$\frac{9 - 24}{24} \times 100 = -62.5$$%
For Grey = $$\frac{7 - 25}{25} \times 100 = -72.5$$%
For White = $$\frac{2 - 13}{13} \times 100 = -84.6$$%
There are 5 instances where the difference in sale of refrigrator was greater or lesser than 35% or more as compared to the previous year.
Hence, option B is the correct answer.
Each of these questions has a statement followed by two
conclusions I and II. Consider the statement and the following conclusions. Decide
which of the conclusions follows from the statement.
Statement:
India has great potential for consumer products.
Conclusions:
I. Inflation is curbing demand for consumer products.
II. A very large population of the country has a great appetite for consumer
products.
Statement:
Introduction of computers and networking revolutionised banking services.
Conclusions:
I: Computers have reduced paperwork to a very large extent
II. All banking functions can be operated and viewed easily on computers.
Statement:
Productivity of Indian agriculture is very low.
Conclusions:
I. Indian agriculture is largely dependent on timely rains
II. Indian farmers have not introduced latest technology into the system
Read the following information to answer these questions.
I. P, Q, R, S, T and U are the six members of a family
II. There is one Doctor, one Advocate, one Engineer, one Teacher, one Student
and one Housewife among them.
III. There are two married couples in the family.
IV. U, who is an Advocate, is father of P.
V. Q is a Teacher and is mother of R.
VI. S is grandmother of R and is a Housewife.
VII. T is the father of U and is a Doctor
VIII. R is the brother of P.
Which of the following statements is definitely true?
How many female members are there in the family?
How is P related to S?
Read the following information to answer these questions.
In a family, there are 10 members, G and N are a married couple while K is the husband of X. In this family, there are four housewives and four working husbands while other members are non - working. The husband in the last generation is a doctor and the husband of S is a teacher. L is a married woman but her husband is not P. Q and K are associated with the profession of engineer and accountant but K is not an accountant. P is the brother of T and both have a sister O. N is the daughter of L and X is the mother of P.
The family consists of how many generations?
Who is the husband of S?
Which of the following statements is not true?
Read the following information to answer these questions.
If ‘A × B’ means ‘A is father of B’.
If ‘A + B’ means ‘A is wife of B’.
If ‘A ÷ B’ means ‘A is daughter of B’.
If ‘A - B’ means ‘A is son of B’.
Which of the following means D is definitely daughter of A?
Which of the following means R is brother of T?
Which of the following means A is nephew of C?
Read the following information to answer these questions.
There is a group of six persons A, B, C, D, E and F from a family. They are a Psychologist, Manager, Lawyer, Jeweller, Doctor, and Engineer.
(i) The doctor is the grandfather of F who is a Psychologist.
(ii) The manager D is married to A.
(iii) C, the Jeweller is married to the Lawyer.
(iv) B is the mother of F and E.
(v) There are two married couples in the family.
What is the profession of E?
How many male members are there in the family?
How is G related to K?
Read the following information to answer these questions.
There are six children playing football namely G, H, I, J, K and L. G and K are
brothers. L is the only sister of K. I is the only son of G's uncle. H and J are the
daughters of the brother of I's father.
How is J related to G?
How is I related to L?
How many male players are there?
In each of these questions, two statements I and II are given.
These may have a cause and effect relationship or may have independent causes or be
the effects of independent causes.
Statement I:
Drinking tea has a number of health benefits. A cup of the beverage can help
slash the risk of developing cancer by shrinking tumours.
Statement II:
The new research has shown that black tea could help prevent cancer. The
compound Theaflavin-2 which has antioxidant properties reduces the risk of
some cancers as well as heart disease.
Statement I:
India has lost a staggering $ 462 billion in illicit financial flows due to tax
evasion, crime and corruption post - Independence according to a report released
by Washington-based Global Financial Integrity.
Statement II:
More than 40% of the FDIs to India originate from Mauritius. Mauritius has now
agreed to negotiate and revise the existing Double Taxation Avoidance
Agreement (DTAA) with India, as capital gains is exempted from tax in
Mauritius and a Mauritian company cannot be taxed in India.
Statement I:
Not a single Indian University, including the IITs, has fared well in an all-Asian
varsity ranking for the year 2011. IIT - Bombay is the only one to figure in the
world top 200 at 187, lower than the previous year's rank of 163.
Statement II:A university founded merely two decades ago- the Hong Kong University of
Science and Technology- has topped the charts. The university of Cambridge got
a perfect 100. All the seven old IITs have made it to the Asian University
ranking, but their ranks have slid.
Each of these question consists of a pair of words bearing a certain relationship. From amongst the given alternatives, pick up the pair that best illustrates a similar relationship.
Presumption: Certainty
Solution
"Presumption : Certainty" shows a shift from an uncertain assumption to a confirmed state.
"Hearsay : Authenticity" also represent the similar relationship by moving from unverified rumors to verified truth
Hence, this is the correct answer.
Coal : Thermal
Court : Justice
Relaxation : Work
Solution
The relationship between "Relaxation" and "Work" suggests that relaxation is a form of relief or break from work.
Fresh and stale are opposites, much like relaxation and work. This pair exhibits the same contrast as relaxation and work.
Complete the series by replacing the '?'
B0R, E3U, G9Y, J18D, ?
A729, G343, ?, S9, Y1
Q331T, U442X, Y553A, ?
RL12, TQ20, WU32, AX48, ?
V2R, Y8T, B15V, E76X, ?
For the following questions answer them individually
How is the son-in-law of my wife's only sister related to my wife's brother?
'B', the son of 'A', was wedded to 'C' whose sister 'D' was married to 'E'. If E is
the brother of 'B', how is 'D' related to 'A'?
Krishna is the mother - in - law of Bindu who is the sister - in - law of Ahsaan.
Dharmender is the father of Sandeep, the only brother of Ahsaan. How is Krishna
related to Ahsaan?
A clock is place in such a manner that at 12 o' clock, its minute-hand points
towards north-east. In which direction does its hour-hand point at 1 : 30 pm?
Ram starts from his house on cycle and goes 10 km towards North - East. He
turns to the left and cycles 8 km, then he turns towards South - East and cycles
for another 10 km. Finally, he turns towards his house. In which direction is he
going now?
Mahender walked 30 metres towards east, took a right turn and walked another
40 metres. He again took a left turn and moved 30 metres. In which direction is
he now from the starting point?
Each of these questions has an assertion (A) and a reason
(R).
Assertion (A): It has now been proved that eating high fat diets, having
decreased level of exercise and leading a stressful life lead to heart problems.
Reason (R): Fatty diets clot the blood in our arteries and hence sufficient amount
of blood can't reach the heart vessels.
Assertion (A): The screening of film 'ABC' has been stopped due to a High
Court order.
Reason (R): People abide by the decisions of the High Court.
Assertion (A): Residents of 'XYZ' colony in Delhi are agitating against the
irregular and inadequate water supply in their colony.
Reason (R): Agitation is a basic right of people to get the water supply for their
survival.
Assertion (A): A student who is indisciplined brings a bad name to himself, his
parents, his teachers and also to his institute.
Reason (R): We must find out the grievances of our students and try to resolve
them to a reasonable level so that it generates self-discipline in them.
For the following questions answer them individually
Julia Gillard is currently the Prime Minister of
World post Day is celebrated on
Who among the following bacame the President of Venezuela of the third consecutive term?
Britain and Scotland have signed an agreement to hold a referendum in ....... on the latter's independence
Who among the following is the teenaged Pakistani girl activist who became famous world wide after a near fatal attack on her?
Monisha Kaltenborn is associated with which sport?
Who was captain of the West Indies cricket team that won the T-20 Cricket World Cup 2012 held in Srilanka?
Wayne Rooney of England is a well known player of
Which of the following cities will be hosting the next Olympic Games to be held in 2016?
Which car company has recently launched SUV segment vehicle 'Quanto' in india?
The Diesel Loco Modernization Works of india Railways is situated in
The Government recently cancelled the permission given to .......... for setting up of a Special Economic Zone(SEZ)in Mundra in Gujrat due to charge of violotion of the SEZ Act
Which Indian IT cimpany has recently acquired consulting firm Lodestone?
Which of the following is an Indian origin banking firm?
POSCO is a major steel of which country?
Steve Ballmer is the CEO of which corporate?
Which of the following brand of cars is owned by the Japanese automobile major Nissan
The tag line 'The power to do more' is linked with
Timothy Geither is currently the treasure secretary of which country?
Information technology corporate giant Apple recently won a $1.05 billion patent case against
World Bank has recently appointed........as its chief economist and senior vice president
Which of the following corporate houses is the India Partner of global coffee chain 'starbucks'
Which state has the largest urban population in India?
Mr.hamid Ansai was re-elected as india's .........president
'DreamYuga' is motorbike launched by which company?
Which Insurance company uses the tag line 'jiyo befikar'?
Which India City has an IIT and IIM both situated in india?
Who became the first woman speaker of Lok Sabha in india?
Kargil Vijay Divas is celebrated on.............every year in honour of kargil war heroes
CBDT standa for
Which is the most mobile chess piece?
Thomas Cup is associated with which sport?
Indian Institute of Sugarcane Research is located at
Telecom giant 'NOKIA' comes from
Which Indian state projects itself as 'God's Own Country?
Which country includes its income cocaine and narcotics in its GDP?
Which of the following sectors is not the part of infrastructure?
Which among the following is the oldest development financial institution of India?
'Prima' is a newly launched
Dudhwa National Park is located on
