Identify the correct statement from the statements given below:-
TISSNET 2016
For the following questions answer them individually
The government has increased minimum wage across the country from earlier ₹ 137 with effect from the month of July 2015. It has raised the threshold on the basis of average increase in the consumer price index. How much is the minimum wage now?
What was the name of the documentary directed by Leslee Udwin which was recently banned by the Indian government?
Which of the following pair (place and state) indicate the only place in India where Asian lions are found in their natural habitat?
Ottan Thullal and Chakyar koothu are folk dances of which particular Indian State?
The rock inside the earth's interior is said to be hot and molten but this is primarily due to the action of one of the forces listed below, which is that force?
BCG vaccine is commonly given to infants to immunize them against which particular disease?
According to recent World Health Organization report, which of the following disease claims maximum number of lives in India?
All except one of these states will see the setting up of the prestigious New All India Institute of Medical Science (AIIMS) as per announcement made in the Union Budget for 2015-16.
He is the current and the $$25^{th}$$ US defense secretary as well as the fourth in US President Barrack Obama's six years in office. What is his name?
Consider the following statement regarding Eco system dynamics:-
1) The food web is a network of food chains
2) The food web is also viewed as a series of trophic (nutritional) levels
3) The consumers of green plants belong to the first trophic level
4) Energy flows from one trophic level to another
This all-time famous novel 'Yayati' based on the epic Mahabharata was written by Vishnu Sakharam Khandekar which won him a Sahitya Akademi Award and a Jnanpith Award. In which Indian language did he write this book?
Identify the correct pair (organization and its area of work) from the following:-
The following county is NOT a part of Eurozone:-
Very recently the Islamic State (IS) terrorist group has reportedly launched an app that features news and videos showing executions and battlefield victories and propagates its agenda. This app is not available for download and doesn't work in regions outside IS control, what is the name of this app?
The folk music genre named "Bhatiyali" hails from this Indian state, which state is it?
The Biological Diversity Authority Act 2002 was essentially enacted to protect Indian agriculture but the ambit of the act essentially includes all, EXCEPT:-
Identify the correct chronological order of the following historic events - Dandi March, Foundation of Indian National Congress, Quit India movement, Khilafat Movement.
Patients with fever are usually prescribed this type of drug by a Medical Doctor.
The Sexual Harassment Act is a much awaited development and a significant step towards ensuring women a safe and healthy work environment. In the list below are some of the highlights in relation to this legislation. All except one are true, find the false one.
"Boko Haram" an Islamic extremist group is based in this African country and carried out mass abductions including the kidnapping of 276 school girls in April 2014. Which African country is it based in?
The Nair community of Kerala, Bunt community from Karnataka, Khasi community from Meghalaya all have a common feature among them. Find the correct one from the list below.
On $$30^{th}$$ March 2015, Bharat Ratna was awarded posthumously to:-
The National Anthem "Jana Gana Mana" has been adopted from Rabindranath Tagore's song. How many number of stanzas does this entire song have?
The city that was announced as the new capital of Andhra Pradesh, to be built near Thullur, between Vijayawada and Guntur is:-
On $$1^{st}$$ January 2015 NITI (National Institution for Transforming India) Aayog was established to replace Planning Commission of India. Who will serve as Chairperson for NITI Aayog?
He remains one of India's most highly regarded Chief Justices and eminent jurists. He was the Chairman of the Committee which submitted a Report on Amendments to Criminal Law after the 2012 Delhi gang rape case. Who is this eminent jurist?
The MUDRA Bank (Micro Units Development and Refinance Agency) was launched by Prime Minister Narendra Modi recently. What is the aim of this financial institution?
He authored the book "Travelling through Conflict". What is his name?
A significant feature of this crime is reportedly stated to be connected to the control of women's behaviour, in particular with regard to sexuality and marriage, by the family as a collective. What is this type of crime commonly labelled as?
Which of the following countries recently adopted the euro as its currency, replacing the Litas, and became the nineteenth Eurozone country?
"Economics relate quite closely to philosophical disciplines, for example, social choice theory makes intense use of mathematical logic and also draws on moral philosophy, so does the study of inequality and deprivation". Which Nobel Laureate said this?
The Nobel Prize in Literature for 2015 is awarded to which of the Belarusian author for the book 'Monument to suffering and courage'?
Heavy rains in Chennai in December 2015 were caused because of ________.
Consider this statement: "Tripuraneni Ramaswamy was a lawyer, famous poet, playwright and reformer and is considered the first poet to introduce rationalism and humanism into his poetry and literature". In which Indian language did he compose his literature?
The 2015 United Nations Climate Change Conference, was held in Le Bourget, France, near Paris. The objective of this conference was:-
Pertaining to the term "Weather" consider the following statements:-
1. It is defined as "The amount of Chemical elements in the atmosphere"
2. It is defined as "The Amount of sunlight reaching a particular area"
3. It is defined as "The conditions in the atmosphere typical for that area for many years"
4. It is defined as "The conditions in the thermosphere of the earth"
'Kaivalya' meaning solitude is a religious practice followed mainly by this religious community. Which among the communities listed below follows this practice?
Certain tribes of Orissa believe that spirits inhabit some or all classes of natural objects or phenomena in other words have a soul. This type of belief in a group of people is termed as:-
In the Union Budget 2015-16 to boost Education and Health, the Finance Minister has allocated budget for a proposed plan to setup a University for Disability Studies in one of the Indian States. Which is this State?
Mumbai Police, who had recently been criticised for harassment through their moral policing actions under the framework of Bombay Police Act, 1951, have decided that they will no longer implement this Section on any individuals. Under which Section of Bombay Police Act was it enforced?
In May 2015, a painting titled 'Women of Algiers' was sold for US$179.3 million at Christie's auction in New York, setting a new world record for a painting, this painting is an artistic work of:-
A professional boxing match, popularly described as 'Fight of The Century' was fought between following players in Las Vegas on $$2^{nd}$$ May 2015.
ISIS is an Islamic extremist militant group. This group control over the following territory primarily:-
For the forthcoming IPL 2016 edition of Twenty20 cricket tournament, two new franchisees based out of Rajkot and Pune will replace two teams who were earlier suspended. Which two teams among the list of teams below were suspended from participating?
Lee Kuan Yew, commonly known by his initials LKY, recently passed away. He was the first Prime Minister of:
Which of the following German auto giant was alleged to have been involved in worldwide rigging of diesel emissions tests, affecting an estimated 11 million vehicles globally?
Which of the following is NOT a recognized Central Trade Union Organizations (CTUO) by the Ministry of Labour?
Which of the following Section of the Indian Penal Code is associated/was discussed in relation with LGBT rights in India?
Identify the statement which is NOT in accordance with principles of Net Neutrality.
Which of the following country is NOT a permanent member of the United Nations Security Council?
In May 2015, Indian Parliament passed the Constitution ($$119^{th}$$ Amendment) Bill, 2013. It would allow India to solve its territorial disputes with:-
Several days are observed and events are specially organized especially to highlight environmental problems to create general awareness. Likewise "Earth Day" is celebrated on which date and month in a year?
Famously known as 'Jhaveri Sisters' they have been making ceaseless efforts to preserve, perpetuate and propagate the art of this Indian classical dance style of which they themselves are the talented exponents. Which Indian classical dance style are they exponents of?
Pertaining to the Goods and Service Tax (GST) which is expected to be implemented in India in the near future, consider these statements:-
1. It is a comprehensive tax on goods and services
2. It is a value added tax where tax is imposed only on value added at each stage in the supply chain
3. It is tax on supply of all goods or services for human consumption in India
4. More than 140 countries have so far implemented GST in the world
Recently the Supreme Court has deemed this section of the Information Technology Act unconstitutional as it gave sweeping powers to arrest and jail people for comments posted on social networks or other Internet platforms. Which is this section of IT Act?
This country is the first to legally allow the creation of "Three-Parent Babies" paving the way to the possibility of future 'designer babies'. Which is the country?
With reference to the term "The Soft State" introduced by Gunnar Myrdal in his book "Asian Drama" which of the following statement is/are correct. Select correct answer using the code below.
1. It describes a general societal "indiscipline” prevalent in South Asia.
2. It ascribes to the tensions being played out in Asia between modern ideals and the traditional.
3. It manifests itself by deficiencies in legislation, law observance and enforcement.
This Schedule of the Indian Constitution deals with the administration and control of scheduled areas and scheduled tribes. Which is this schedule?
Poet Kabir was well known for being critical of both Hinduism and Islam, he was strongly influenced by his teacher, the Hindu bhakti leader, what is his name?
As per the Sachar Committee report presented in the Lok Sabha on November 2006, whereas Muslims constitute above 14% of the population of India, the overall percentage of Muslims in bureaucracy in India is very low. How much is mentioned in the report?
Due to labours' wild cat sit down strike in 2011 this Indian joint venture company suffered an output loss of $130 million, and its share fell by 2% on Bombay stock exchange. Which was this company?
During his $$69^{th}$$ Independence day address to the Nation, The Indian Prime Minister had emphasized government's commitment to simplify labour laws which are confusing for the common man. Among the reforms proposed and passed in Indian parliament all except one is true. Find the odd one.
Nilofer decides to distribute 200 chocolates equally to her students. But, 2 of her older students come and she has to redistribute the same chocolates to all of them now. Now, her present students get 5 chocolates lesser than what they were getting earlier. So, Nilofer's present students are:-
Solution
Share
Let the total number of students earlier = n
After 2 old students comes, total number of students = n + 2
Given that,
total number of chocolates = 200
So, earlier, chocolate for each students = 200 / n
When 2 students joins, chocolate foe each students = 200 / n + 2
According to Question,
(200 / n) - 5 = 200 / (n + 2)
(n + 2) (200 - 5 n) = 200 n
5 n^2 + 10 n - 400 = 0
5 n^2 + 50 n - 40 n - 400 = 0
5 n ( n + 10 ) - 40 ( n + 10 ) = 0
n = 8
Thus number of students earlier = 8
Rimi was born on 3/3/2012. Rima was born 13 days before Rimi. If Rimi was born on a Saturday, what was the day on which Rima was born?
Solution
If rimi was born on Saturday.
Then Rima was born 13 days before.
So there is Sunday.
As 1 week has 7 days.
So 13 - 7 = 6
As rima was born 7 days before then there will be Saturday. ATQ we have 6 days left if you will deduct 6 days from Saturday so there will be Sunday And the date would be 19/2/2012
Frank, Fardeen, Faulad and Farhan are playing a game where the loser doubles the amount of money that the others have. They manage to play four games. Each player loses a game each as per reverse alphabetical orders of their names. At the end of the game each player was left with ₹32 each. Who started with the most money at the beginning of the game?
Solution
At end of the game each player holds = 32
Total money is 4×32=Rs. 128
Let Frank start with Rs. $$x$$
Then the total money other 3 have =Rs. (128−$$x$$)
Frank lost the first game. He gives Rs. (128−$$x$$) to the other 3 players.
Therefore, after the 1st game, money that Frank has
=$$x$$−(128−$$x$$)=2$$x$$−128
Total money other 3 players have =2(128−$$x$$)
In the second, third, and fourth games, the other 3 partners will lose, and each time, the loser doubles the amount of money that the others have.
i.e., after 2nd game, Frank money =2(2$$x$$−128)
i.e., after 3rd game, Frank money =4(2$$x$$−128)
i.e., after the 4th game, Frank money =8(2$$x$$−128)
8(2$$x$$−128) = 32
$$x=66$$
At the start of the game, Frank started with 66rs.
Alternate solution:
Since, all the players lost in the reverse alphabetical order, below table gives the result of which player lost in each round.
Now, each player had ₹32 at the end of Round 4. It means that the total money with the friends in the game is $$₹32\times4=₹128$$
Now, Fardeen lost in round 4. It means that Fardeen doubles the amount of money of others.
Total money with Frank, Faulad and Farhan after Round 4 = $$₹32\times3=₹96$$
Total money with Frank, Faulad and Farhan after Round 3 = $$\dfrac{₹96}{2}=₹48$$
Money with Fradeen after Round 3 = $$₹128-₹48=₹80$$
Now, Farhan lost in Round 3.
Total money with other 3 friends after Round 2 = $$₹\left(8+8+40\right)=₹56$$
Total money with Farhan after Round 2 = $$₹\left(128-56\right)=₹72$$
Similarly, Faulad lost in Round 2.
Total money with other 3 friends after Round 1 = $$₹\left(4+36+20\right)=₹60$$
Total money with Faulad after Round 1 = $$₹\left(128-60\right)=₹68$$
Similarly, Frank lost in Round 1.
Total money with other 3 friends at the start = $$₹\left(34+18+10\right)=₹62$$
Total money with Frank at the start = $$₹\left(128-62\right)=₹66$$
The total money with each of the friend after each round is:
Hence, Frank starts with the most money at the beginning of the game.
$$\therefore\ $$ The required answer is C.
Ranbir's office door faces eastwards. He walks out from his office's back door upto a 100 metres and then towards Right, walks further 100 metres, turns left and walks 50 metres. Which Direction has he reached now?
Solution
He starts towards the west, walks 100 meters. Turns towards the north walk 100 meters. Turns towards the west and walks 50 meters. Hence Final position = North- west.
Two Arms of a clock come over each other in approximately how many minutes?
Solution
In T hours, the minute hand completes T laps. In the same amount of time, the hour hand completes T/12 laps.
The first time the minute and hour hands overlap, the minute hand would have completed 1 lap more than the hour hand. So we have T = T/12 + 1. This implies that the first overlap happens after T = 12/11 hours (~1:05 am). Similarly, the second time they overlap, the minute hand would have completed two more laps than the hour hand. So for N overlaps, we have T = T/12 + N.
Since we have 24 hours in a day, we can solve the above equation for N
24 = 24/12 + N
24 = 2 + N
N = 22
Thus, the hands of a clock overlap 22 times a day. Thus the hands of the clock overlap at 12:00, ~1:05, ~2:10, ~3:15, ~4:20, ~5:25, ~6:30, ~7:35, ~8:40, ~9:45, ~10:50. Note that there is no ~11:55. This becomes 12:00.
Hence they meet every 65 min
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MOBILE HAND SET USERS SURVEY DATA
If the total number of respondents surveyed who use 4G Enabled Mobile Hand Sets are 3591, then the number of 3G Smart Phone users surveyed are?
Solution
9% of total number of respondents surveyed = 3591
$$\Rightarrow$$ Total number of respondents surveyed= 39900
$$\therefore\ $$ Number of 3G Smart Phone users surveyed = 34% of 39900 = $$\frac{34}{100}\times39900$$ = 13566
Find the sequence that shall follow in 2015 based on the data given in the chart below.
Solution
A and B are alternately being increased and decreased.
The table shows the Percentage of total population of a city as per their age groups.
If there are about 190000 people in the age group of 56-65 in that city then what is the approximate number of people in the age bracket 26-35 in the city?
Solution
190000 people in the age group of 56-65 => 5.12% of total = 190000
number of people in the age bracket 26-35 in the city = 17.25% of total = 17.25 x 190000/5.12 = 640000
The Sum of Three Consecutive Prime Numbers is 83. What shall be the Square of the largest amongst the three numbers if its digits are reversed?
Solution
The prime numbers are 2,3,5,7,11,13,17,19,23,29, 31,37...
Three Consecutive Prime Numbers whose sum is 83 are 23,29,31
Reverse of largest number =13
Square = 169
The number of ways in which Arnav, Ananyaa, Deepali and Neena can stand in straight line such that Deepali comes between Arnav and Ananyaa & also Neena does not come between Arnav and Ananyaa is?
Solution
The possibilities are
Neena - Arnav - Deepali - Ananyaa
Neena - Ananyaa - Deepali - Arnav
Arnav - Deepali - Ananyaa - Neena
Ananyaa - Deepali - Arnav - Neena
What shall come in place of '? ' in the series given below?
Solution
The logic here is
W = 23, G = 7 $$\longrightarrow\ $$ 23 x 7 =161
U = 21, Q = 17 $$\longrightarrow\ $$ 21 x 17 = 357
N = 14, S = 19 $$\longrightarrow\ $$ 14 x 19 = 266
Similarly,
R = 18, M = 13 $$\longrightarrow\ $$ 18 x 13 = 234
$$\therefore\ $$The required number = 234
Hence, the correct answer is Option B
Amrita, during her trek in a Jungle finds a rectangular log of wood measuring 6cm X 12cm X 15cm. She wants to cut this log into exact number of wooden cubes. What is the number of such cubes of equal size that she can get by using the entire log?
Solution
The cube that has to be cut will have a side length equal to the HCF of the sides of the cuboid.
HCF of 6, 12 and 15 is 3, so Amrita can cut cubes of side 3 cm.
Volume of Cuboid = 6*12*15
The volume of one Cube = 3*3*3
Total no. of Cubes = Volume of Cuboid/ Volume of one Cube $$=\dfrac{6\times\ 12\times\ 15}{3^3}=40$$
In a camp there is provision of meals for either 120 adults or 200 children. If 150 children have already eaten, then how many adults could be fed with the remaining meals?
Solution
Let there be 600kg of rice.
Each adult eats = 5kg
Each child eats = 3kg
!50 children eat =150 x 3 = 450 kg
Remaining rice = 150kg
Number of adults that can be fed = 150/5=30
A Telecom Service operator announced that between 8 PM and 8 AM all outgoing calls and text messages shall be charged @ 50 % of the charge rate as applicable from 8 AM to 8 PM. After availing of this benefit, my bill dues reduced by 20 %. What is the ratio of my calls and SMS during day and night time?
Solution
Let the ratio of messages during day and night be x:y.
Let the charge of messages during the day be 100, so the charge of messages during the night will be 50.
Initial total bill=100*(x+y)
New total bill= 100*x + 50*y = 50*(2x+y)
Now, $$\frac{50\times\ \left(2x+y\right)}{100\times\ \left(x+y\right)}=\frac{80}{100}$$
$$10x+5y=8x+8y$$
x:y=3:2
The roads to travel to various cities from point A are as given.
I, J and K can be reached only from E. E cannot be reached from D or C. A leads to B and from C, you can reach G. B leads to E. D can be reached from C. D leads to F. G also leads to F. L can be reached only from G via F. M can only be reached from D via F. All distances between two places are 1 km. All ways are one-way only.
I, J and K can only be reached from?
Solution
Using the conditions given in the question, the path diagram is as given below.
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Thus, I, J and K can only be reached from E.
Hence, the answer is option B.
What shall come in place of '=' in the series given below?
A D I = Y
Solution
Let the letters be numbered as A=1, B=2 ..... Z=26
D - A = 4 - 1 = 3
I - D = 9 - 4 = 5
P - I = 16 - 9 = 7
Y - P = 25 - 16 = 9
$$\therefore\ $$P should come in the place of '=' in the given series.
Hence, the correct answer is Option C
Find the missing Number?
Solution
The logic here is
$$64=4^3$$
$$1000=10^3$$
$$4096=16^3$$ and
$$512=8^3$$
$$2744=14^3$$
$$8000=20^3$$
The difference is 6
Similarly,
$$216=6^3$$
$$1728=12^3$$
$$5832=18^3$$
$$\therefore\ $$The required number is 5832
Which of the following shall come in place of missing '- '?
m n o n o m - m - m n o - o -
Solution
The first three letters (m n o) becomes (n o m) the next three letters. Similarly, now (n o m) becomes (o m n).
So the missing letters are (o n n m)
The roads to travel to various cities from point A are as given.
I, J and K can be reached only from E. E cannot be reached from D or C. A leads to B and from C, you can reach G. B leads to E. D can be reached from C. D leads to F. G also leads to F. L can be reached only from G via F. M can only be reached from D via F. All distances between two places are 1 km. All ways are one-way only.
If one reaches D, one can go to?
Solution
Using the conditions given in the question, the path diagram is as follows.
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From D, one can only go to F and to M.
Hence, the answer is option A.
The roads to travel to various cities from point A are as given.
I, J and K can be reached only from E. E cannot be reached from D or C. A leads to B and from C, you can reach G. B leads to E. D can be reached from C. D leads to F. G also leads to F. L can be reached only from G via F. M can only be reached from D via F. All distances between two places are 1 km. All ways are one-way only.
To reach M, one must have travelled through?
Solution
Using the conditions given in the question, the path diagram is as given below.
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To reach M, the path is C-D-F-M.
Thus, one must have travelled through C and D to reach M.
Hence, the answer is option B.
Two Statements are followed by two conclusion I and II. Mark your answer as:-
Statement:
All students in my college are intelligent.
Rahul is not intelligent
Conclusion:
I. Rahul is not from my college.
II. Rahul should study more.
Solution
As per the two statements, we can only conclude conclusion I and whether Rahul should study more or not we cannot infer from the above statements.
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MOBILE HAND SET USERS SURVEY DATA
Use the information from the earlier question and if the Survey was to be conducted on 10% less respondents then the Basic Hand Set Users shall be approximately?
Solution
From the previous question, we know that the total number of respondents surveyed = 39900
If there were 10% fewer respondents, the total = 0.9 x 39900 = 35910
Thus, Basic handset users = 0.57 x 35910 = 20468.7 $$\approx$$ 20469
Hence, the answer is option B.
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Alka places five Ice Cubes from the freezer, each of sides 5 centimeters each adjacent to each other. Find the area of the resultant cuboid that gets formed?
Solution
According to the problem,
Length of the cuboid (l) = 25 cm
Breadth of the cuboid (b) = 5 cm
Height of the cuboid (h) = 5 cm
Surface area of cuboid = 2(lb+bh+lh) = 2(125+25+125) = 2(275) = 550 cm$$^2$$
A vase made of glass, when sold for ₹9,600 fetches 20% profit. What would be the percent profit/loss if 15 such vases are sold at a whole-sale price of ₹8,250 each?
Solution
Selling price of a vase = Rs. 9600 and profit % = 20%
=> Cost price = $$\frac{9600}{100+20}\times100=Rs.$$ $$8000$$
New Selling price of each vase = Rs. 8250
=> Profit % = $$\frac{8250-8000}{8000}\times100$$
= $$\frac{250}{80}\approx3\%$$
=> Ans - (A)
Two numbers are such that the ratio between them is 3:5. If each is increased by 10, the ratio between them becomes 5:7. What is the difference between the two numbers?
Solution
Let the numbers be $$3x$$ and $$5x$$
According to question,
=> $$\frac{3x+10}{5x+10}=\frac{5}{7}$$
=> $$21x+70=25x+50$$
=> $$4x=20$$
=> $$x=\frac{20}{4}=5$$
$$\therefore$$ Difference = $$2x=2\times5=10$$
=> Ans - (B)
The average of 50 numbers is X. If two numbers 53 and 47 are discarded, the average of the remaining set of numbers now is 37.5. What is the value of 50X?
Solution
Sum of 50 numbers = $$50x$$
After removing 53 and 47, average of 48 numbers = $$\frac{50x-53-47}{48}=37.5$$
=> $$50x-100=\frac{75}{2}\times48$$
=> $$50x=1800+100=1900$$
=> Ans - (B)
If $$x^{abc} = x^a.x^b.x^c$$, where $$a, b, c and x$$ are all positive integers, then what is the value of $$(a + b + c)^2$$?
Solution
Given : $$x^{abc} = x^a.x^b.x^c$$
=> $$x^{abc} = x^{(a+b+c)}$$
=> $$a+b+c=abc$$
$$\because$$ $$a,b,c$$ are all positive integers, the only numbers that can satisfy above equation are : $$a=1,b=2,c=3$$
To find : $$(a+b+c)^2=(6)^2=36$$
=> Ans - (D)
A man distributes his property of ₹900,000 among his two sons, Suraj and Rajiv and his daughter Meera. The share of Suraj is thrice that of Rajiv and the share of Rajiv is twice that of Meera. How much did Meera get?
Solution
Let share of Meera = Rs. $$x$$
=> Rajiv's share = Rs. $$2x$$ and Suraj's share = Rs. $$6x$$
Total = $$x+2x+6x=900,000$$
=> $$x=\frac{900,000}{9}=Rs.$$ $$100,000$$
=> Ans - (A)
Amit borrows ₹7,000 at simple interest from the village money-lender. At the end of 3 years, he again borrows ₹3,000 and closes his account after paying ₹4,615 as interest after 8 years from the time he made the first borrowing. What is the rate of interest?
Solution
Let rate of interest be $$r\%$$
Amit borrows Rs. 7000 for 3 years and Rs. 10,000 for 5 years
Simple Interest = $$\frac{P\times R\times T}{100}$$
Total interest paid = $$(\frac{7000\times r\times3}{100})+(\frac{10,000\times r\times5}{100})=4615$$
=> $$210r+500r=4615$$
=> $$r=\frac{4615}{710}=6.5\%$$
=> Ans - (C)
Given '$$y$$' is a natural number, how many values of "$$y$$" are possible for $$(y^2 - 5y + 5)^{(y - 8)(y + 6)} = 1$$?
Solution
Expression : $$(y^2 - 5y + 5)^{(y - 8)(y + 6)} = 1$$
=> $$log(y^2 - 5y + 5)^{(y - 8)(y + 6)} = log(1)$$
=> $$(y-8)(y+6)log(y^2-5y+y)=0$$
Thus, either $$(y-8)=0$$ or $$(y+6)=0$$ or $$log(y^2-5y+5)=0$$
=> $$y=8,-6$$ ---------------(i)
or $$log(y^2-5y+5)=log(1)$$
=> $$y^2-5y+4=0$$
=> $$(y-4)(y-1)-0$$
=> $$y=4,1$$ -----------(ii)
Also, $$y^2-5y+5$$ can be equal to -1, and the power will be even; thus, it can be equal to 1.
$$y^2-5y+5$$ = -1
$$y^2-5y+6$$ = 0
y = 2 or 3
When y = 2, power will be(y-8)(y+6) = -48 even power, hence = 1
When y = 3, power will be 45 odd power, hence = -1
Thus, y = 2 also satisfies the condition.
From equations (i) and (ii), Possible values of $$y$$ (natural number) = 4
=> Ans - (A)
Find the value of $$\log_2 \log_2 \log_3 \log_3 27^3$$
Solution
Expression : $$\log_2 \log_2 \log_3 \log_3 27^3$$
= $$\log_2 \log_2 \log_3 \log_3 (3)^9$$
= $$\log_2 \log_2 \log_3 9$$
= $$\log_2 \log_2 \log_3 (3)^2$$
= $$\log_2 \log_2 2$$
= $$\log_2 1=0$$
=> Ans - (A)
In how many ways 9 friends - Alok, Badal, Carol, Dorothy, Emily, Frank, Govind, Harish and Indivar; be divided equally into 3 groups?
Solution
Group 1 Can be selected in $$C^9_3 = \frac{9\times8\times7}{1\times2\times3}=84$$ ways
Group 2 Can be selected in $$C^6_3 = \frac{6\times5\times4}{1\times2\times3}=20$$ ways
Group 3 Can be selected in $$C^3_3 = 1$$ way
=> Total number of ways = $$\frac{84\times20\times1}{3!}$$
= $$14\times20=280$$ ways
=> Ans - (C)
Two sets AA and BB are defined as follows:-
$$AA = \left\{x \mid x \in N, x < 5\right\}$$
$$BB = \left\{x \mid x \in N, x^2 < 25\right\}$$
Which of the following alternatives is correct?
Solution
$$AA = \left\{x \mid x \in N, x < 5\right\}$$
=> $$AA=\left\{1,2,3,4\right\}$$
$$BB = \left\{x \mid x \in N, x^2 < 25\right\}$$
=> $$BB=\left\{1,2,3,4\right\}$$
Thus, both sets contain same elements, hence AA = BB
=> Ans - (A)
Read the following table and answer questions that follow:-
If 2014 figures for Cement are plotted on a pie-chart, approximately what angle will be sub-divided by 'Expenditure'? (in degrees)
Solution
From the table,
Expenditure for Cement in 2014 = 2628
$$\therefore\ $$Angle sub-divided by Expenditure in the pie-chart = $$\frac{2628}{3018+2628+312+204+16}\times360^{\circ}$$
$$=\frac{2628}{6178}\times360^{\circ}$$
$$=153^{\circ\ }$$
$$=150^{\circ\ }$$ (approximately)
Taking Interest and Net Profits for both sectors together, what is the percentage change in 2015 over 2014?
Solution
Total interest and net profit in 2014 = 312+67+16+198 = 593
Total interest and net profit in 2015 = 312 -10 +66+220 = 588
Percentage change = 5/593 = 1 % decrease
For the following questions answer them individually
Study the following graph carefully and answer the question that follows:-
The percentage increase in exports from 2000 to 2001 is:-
Solution
From the graph,
Exports in 2000 = 6
Exports in 2001 = 30
$$\therefore\ $$The percentage increase in exports from 2000 to 2001= $$\frac{30-6}{6}\times100=\frac{24}{6}\times100=$$ 400%
The bar-diagram given below shows the realization from leather exports in $ during different years:-
In which year did the exports of leather fall the most?
Solution
In year 4, year 6 and year 7 there is rise in the exports of leather. Only in the year 3, there is fall in the exports of leather.
$$\therefore\ $$In year 3, the exports of leather fall the most.
Hence, the correct answer is Option C
Read the following case and answer the following question:-
Mr. Techno has recently acquired four companies namely A-Net Technologies (ANT), B-Anta Transport (BAT), C-Antra Tailors (CAT) and D-Ali Transistor (DAT). When the results of the companies for the year 2013-14 were placed before him, he found a few interesting things about them. While the profits of CAT and DAT were same, the sales of CAT were the same as those of BAT, profits of ANT were 10% of its sales, where as the profits of BAT were 20% of its sales. While the total expenses of CAT were 5 times its profits, sales of DAT were three times its profits. The total expenses of CAT were ₹10,00,000. The total expenses of ANT were 10% less than those of CAT. (Profits are defined as the difference between sales and total expenditure)
Which company had the highest profits during the financial year 2013 - 14?
Solution
Sales. Expenditure. profit
ANT - 10,00,000. 9,00,000. 1,00,000
BAT - 12,00,000. 9,60,000. 2,40,000
CAT - 12,00,000 10,00,000. 2,00,000
DAT - 6,00,000 4,00,000 2,00,000
Which company had the lowest sales during the financial year 2013-14?
Solution
Sales. Expenditure. profit
ANT - 10,00,000. 9,00,000. 1,00,000
BAT - 12,00,000. 9,60,000. 2,40,000
CAT - 12,00,000 10,00,000. 2,00,000
DAT - 6,00,000 4,00,000 2,00,000
The bar-diagram given below shows the realization from leather exports in $ during different years:-
In which year was the percentage increase over the previous year the highest?
Solution
Percentage increase in year 5 = 20/50 = 40%
Percentage increase in year 4 = 20/30 = 66.66%
Percentage increase in year 6 = 0
Percentage increase in year 2 = 10/40 = 25%
What is the ratio of the exports in the year 3 and year 7 approximately?
Solution
From the graph,
Exports in year 3 = 30
Exports in year 7 = 90
$$\therefore\ $$The ratio of the exports in the year 3 and year 7 = 30 : 90 = 1 : 3
For the following questions answer them individually
Read the following case and answer the following question:-
Mr. Techno has recently acquired four companies namely A-Net Technologies (ANT), B-Anta Transport (BAT), C-Antra Tailors (CAT) and D-Ali Transistor (DAT). When the results of the companies for the year 2013-14 were placed before him, he found a few interesting things about them.
While the profits of CAT and DAT were same, the sales of CAT were the same as those of BAT, profits of ANT were 10% of its sales, where as the profits of BAT were 20% of its sales. While the total expenses of CAT were 5 times its profits, sales of DAT were three times its profits. The total expenses of CAT were ₹10,00,000. The total expenses of ANT were 10% less than those of CAT. (Profits are defined as the difference between sales and total expenditure) In the financial year 2013-14, which company had the highest total expenses?
Solution
Sales. Expenditure. profit
ANT - 10,00,000. 9,00,000. 1,00,000
BAT - 12,00,000. 9,60,000. 2,40,000
CAT - 12,00,000 10,00,000. 2,00,000
DAT - 6,00,000 4,00,000 2,00,000
Number of five different types of product X, viz: AA, BB, CC, DD and EE produced and the number of products found defective by a Company ABC Ltd. over the years from 1996 to 2002 are given below (in '000):-
What was the percentage increase in the number of defect-free EE type produced in 2001-02 from that in 2000-01?
Solution
Defect-free EE type produced in 2000-01 = 602 - 18 = 584
Defect-free EE type prodcued in 2001-02 = 710 - 20 = 690
% increase = $$\ \frac{\ 690-584}{584}\times\ 100$$ $$\ \approx\ $$ 18%
Answer is option B.
In which of the following years was the percentage of defective of AA type the maximum?
Solution
Option A) Percentage of defective for AA in 1996-97 = (20/500)*100 = 4%
Option B) Percentage of defective for AA in 2000-01 = (14/714)*100 = 1.96%
Option C) Percentage of defective for AA in 1998-99 = (12/532)*100 = 2.25%
Option D) Percentage of defective for AA in 1997-98 = (18/658)*100 = 2.73%
We can see that out of the given options, the value is maximum in option A.
Hence, the correct answer is option A.
The production of AA type in 1998-99 is what percent of the total defect-free production in that year?
Solution
Total production of AA in 1998-99 = 520
Defect-free production in 1998-99 = 461 + 598 + 349 + 282 + 508 = 2198
Required % = $$\frac{520}{2198}\times\ 100\ =\ 23.65\%$$
Answer is option A.
For the following questions answer them individually
Find the odd word.
Lovely, slowly, quickly, skilfully
Solution
Here, "slowly", "quickly" and "skillfully" are all adverbs, whereas "lovely" is an adjective.
Hence, the answer is option A.
Fill in the blank.
I ________ already _________ many bad experiences in my life.
Solution
The sentence is written in the present perfect tense.
The present perfect form of 'have' is 'have had'.
Hence, the answer is option A.
Match the idioms to their meanings.
Solution
high on the hog - living in luxury
funny farm - mental institution
dry run - rehearsal
dead ringer - duplicate
The answer is option B.
Complete the analogy.
Screenwriter: writes screenplays :: ______________ : creates dictionaries
Solution
Lexicographer - a person who compiles dictionaries
The answer is option A.
Find the odd word out.
Pharmacists, Lunatics, Audiologists, Statisticians
Solution
Pharmacists, Audiologists and Statisticians are the ones who are experts in their particular field of study.
lunatic - a person who is mentally ill, foolish person
The answer is option A.
Fill in the blank.
The story was just too beautiful. I ____________ not read it.
Solution
The sentence indicates that the person has already read the story. Thus, options B and D can be dismissed.
Among A and C, A is more appropriate grammatically.
Hence, the answer is option A.
Complete the analogy.
Abomination: disgrace :: _____________ : ridicule
Solution
Abomination is the synonym of disgrace. Mockery is the synonym of ridicule.
The answer is option D.
The following sentence is split in three parts and each one is labeled (A), (B) and (C). Read the sentence to find out whether there is an error in any part. Letter (D) signifies a 'No Error'
There were (A) lesser mistakes (B) in your writing this time around (C).
Solution
Since "mistakes" is a countable noun, the comparison word used should have been "fewer" instead of "lesser".
Hence, the answer is option B.
By next Diwali (A), we will have been (B) here for 3 years(C).
Solution
There is no error in the given sentence.
The answer is option D.
For the following questions answer them individually
Find the odd word out.
Suave, ingratiating, urbane, churlish
Solution
Suave, Ingratiating, and Urbane all describe someone who is polite, charming, or socially refined.
Churlish means rude, ill-mannered, or lacking refinement, which is the opposite of the other words.
Since churlish does not fit the pattern of politeness and charm, it is the odd one out.
The answer is option C.
Complete the idiom.
He couldn't decide what to do. He was stuck between a rock and a __________.
Solution
"Stuck between a rock and a hard place" is the correct idiom which being in a difficult situation where you have to choose between two equally difficult choices.
Therefore, the answer is option C.
Find the odd word out.
Divulgence, Revelation, Dissemination, Denial
Solution
divulgence - action of revealing private information
revelation - act of revealing
dissemination - action or fact of spreading information
denial - action of denying something
Among the given options, denial is the odd one out.
The answer is option A.
Complete the idiom with the correct word.
My car keeps breaking down. It's the ________ of my life.
Solution
Bane of my life means something that frequently makes them unhappy or annoyed.
The answer is option C.
The following sentence is split in three parts and each one is labeled (A), (B) and ( C). Read the sentence to find out whether there is an error in any part. Letter (D) signifies a 'No Error'
It's quiet warm today (A). It should've (B) rained but it didn't (C).
Solution
Correct sentence - It's quite warm today. It should've rained but it didn't.
The answer is option A.
Match the idioms to their meanings.
Solution
chase your tail - spending time but not achieving anything
dead wood - unnecessary stuff
plum job - cozy position
acid test - to prove effectiveness
The answer is option B.
Fill in the blank.
When he died, she said, "He wasn't all that great but he never was bad to anyone!" The homeless man couldn't have asked for a better _____________.
Solution
epitaph - form of words written in memory of a person who has died
The answer is option C.
Substitute the phrase in bold with the correct word.
The entire lower section was filled with books. He truly was a lover of books.
Solution
Bibliophile - the one who loves books
The answer is option A.
Everyone laughed at him because he was quite like a woman.
Solution
Effeminate - having feminine qualities untypical of a man
The answer is option D.
Fill in the blank.
_________ easy to blame the government if and when _________ policies don't work.
Solution
From the tone of the passage, the first blank will have a standard pronoun and the second, possessive.
Hence, the answer is option A.
Their marital ___________ was something that people loved to discuss.
Solution
discord - disagreement between people
Among the given options, option C is the appropriate one.
The answer is option C.
For the following questions answer them individually
Find the odd word out.
Consequence, Result, Effect, Affect
Solution
Consequence, result, and effect have similar meanings, such as the outcome or impact of an action.
Whereas affect is to influence or cause a change.
The answer is option B.
Substitute the phrase in bold with the correct word.
I really enjoyed the speech which he delivered without any previous preparation.
Solution
Oration- a formal speech on a special occasion.
Disquisition- detailed discussion of a topic.
Discourse- debate or argument about a topic
Extempore - spoken without any preparation.
Therefore, option D is the correct answer.
Fill in the blanks.
His ________ was lying on a __________.
Solution
palette - a thin board on which an artist mixes colours.
pallet - a flat wooden structure on which any goods can be placed
The answer is option C.
What is the antonym of Articulation?
Solution
articulation - formation of clear words in a speech
Among the given options, disconnection is the antonym of articulation.
The answer is option A.
The following sentence is split in three parts and each one is labeled (A), (B) and (C). Read the sentence to find out whether there is an error in any part. Letter (D) signifies a 'No Error'
Never I have (A) ever seen (B) something of this magnitude (C)
Solution
The sentence should have been, "Never have I ever seen something of this magnitude".
Hence, the answer is option A.
Fill in the blank.
Seldom ___________ ever seen something so ridiculous.
Solution
When a sentence begins with a negative adverbial like never, rarely or seldom, the auxiliary verb comes before the subject. Thus, options A, B and D are dismissed.
Hence, the answer is option C.
Unable to stop himself, he ________ inside to see what had actually ________ his curiosity.
Solution
peeked - look quickly
piqued - arouse(interest or curiosity)
Correct sentence - Unable to stop himself, he peeked inside to see what had actually piqued his curiosity.
The answer is option B.
He was given a _________ for proving his _________.
Solution
medal - token of appreciation
mettle - a person's ability to cope well with difficulties
Correct sentence - He was given a medal for proving his mettle.
The answer is option C.
READING COMPREHENSION:
We always wonder what it would be like if famous public figures like Lady Diana, Mahatma Gandhi and even infamous ones like Osama Bin Laden, had a blog or website with direct links to their thoughts, views, opinions, presentation and positioning. How would Lady Di have wanted to portray
herself? What would her blog carry? Would it have helped her multiply her work and effect? This article discusses about the need for public figures to have a website.
Whether you are a politician, artiste, actor, religious figure or anyone who enjoys public fame, engaging directly with your followers, fan base or disciples is imperative. Having an unfiltered and open medium of disbursing information allows the public figure to be as candid and genuine and s/he can be. He or she has full control over what is being edited and what should be edited when communicating through a medium over which they have direct control.
More than spread news and promote your work, as a celebrity you will need to constantly clarify misconceptions and miscommunication about yourself. Being in the public eye means you are sure to receive healthy criticism and even slander. Having your own communication medium helps you to directly reach out to those who are concerned about you and your actions. Many celebrities have clarified and cleared up important rumours and misconceptions about themselves, which have either been spread by their rivals or have been cooked up by the mainstream media. Many actors have used their website to clarify their marital status or rumours about their death which were floating around in the media. Politicos and Intellectuals have used their websites to stir up emotions and gather support for fulfilling their ambitions.
Most celebrities and public figures love the attention they get wherever they go. Most celebrities like to send messages and subtle hints about their next public appearance, so that their bandwagon of cheerleaders and fans is ready and waiting to welcome them. Social Media and the Internet have made it so much easier for celebs to post their next hangout and mobilize a crowd of fans in a few minutes. Politicians may especially find this useful when wanting to garner support for their various campaigns and promo trails.
A website can be an excellent source of revenue generation, especially when a celebrities have their own range of products or line of exclusive merchandise for sale. People clamour to get authentic merchandise and connect at that level with their idol or hero. Many actors and artistes have launched their own brand of products - things which they use or endorse. For example many actors have launched their own perfume brand, whereas painters and sculptors have launched a line of tools or implements that they use for their art. Similarly, clothing and apparel is also often endorsed or promoted in the name or presence of an actor. A website can definitely help boost their merchandise sales and provide a source for people to get the authentic stuff , without having to be exploited by ripoffs or expensive stores.
Politicos and intellectuals use their website to ___________.
Solution
In third paragraph it is mentioned that Politicos and Intellectuals have used their websites to stir up emotions and gather support for fulfilling their ambitions. This infers that they used to provoke emotions.
The answer is option A.
What does being in a public eye mean?
Solution
In the third paragraph, it is mentioned that being in the public eye means you are bound to receive both constructive criticism and slander. This suggests that being in the public eye entails being open to both positive and negative feedback. The answer is option C.
What, according to the author, can a website also be?
Solution
Option A is not implied in the paragraph.
In the last paragraph, it is mentioned that a website can be an excellent source of revenue generation, especially when celebrities have their own range of products or line of exclusive merchandise for sale.
While the ideas of options B and C are somewhat present, they are not directly stated and are less optimal than option D.
Therefore, Option D is the correct answer.
What, according to the author, is necessary for a public figure?
Solution
In second paragraph it is mentioned that "whether you are a politician, artiste, actor, religious figure or anyone who enjoys public fame, engaging directly with your followers, fan base or disciples is imperative."
Hence, direct interaction with the followers is necessary for a public figure.
The answer is option C.
What is the passage about?
Solution
The passage talks about why it’s important for celebrities and public figures to have their own websites. It explains that a website allows them to connect directly with their fans, share their thoughts, and clear up any rumors or misunderstandings about them. A website also helps celebrities promote their work, control their message, and even sell products or merchandise.
Hence, the correct option is Option B: The need of websites for celebrities.
