The full form of CSIRO is
SNAP 2015 Question Paper
For the following questions answer them individually
The full form of UNRISD is
Bhaona is a presentation of the Ankia Naat of Assam. In Bhaona the cultural glimpses of __________ is/ are reflected.
Under which Act does the Archaeological Survey of India (ASI) protect monuments, sites and remains of national importance ?
In 2015 the President of India approved conferment of Padma Awards to all of the following but for _________
In Grammy Awards 2015 the best folk album was won by _______
Scientists discovered a new species in the human family tree which is a small creature with a tiny brain. The new species has been named as ______
The ministry of external affairs has recently decided to change the nomenclature of Indian Based Domestic Assistance (IBDA) to ___________
The foreign exchange reserve of India consists of _________
_________ is a charge for converting bullion into coins where free coinage is permitted. This charge is equal to the cost of bullion to coins transformation.
Microsoft introduced several new products for education customers, this includes a notetaking app called ________
The National Merit Scholarship Scheme, which provided financial assistance to meritorious students from Class XI to Post- Graduation level in Government Schools/Colleges/Universities has been discontinued from the year _________
The Symbol used for reusable microwaveable plastic ware is ________
The agency that estimates national income in India is
Super Blood Moon, which is a rare astronomical phenomenon hasn't happened since ___________, and won't happen again until __________
The galaxy __________ was initially discovered with NASA's Spitzer Space Telescope in infrared light and is believed to be at least 9 billion years old.
In the year 2014 Facebook bought Whatsapp for _________ US Dollars.
Shri Narendra Modi was sworn in as the Prime Minister of India on _________ at the Rashtrapati Bhavan in New Delhi.
Where is the doldrums belt located ?
The air quality in Singapore deteriorated to a hazardous level in September 2015, forcing the city-state to shut its schools for the first time in 12 years. This was due to
In 1347 during the reign of Muhammed Tuglak an Afghan officer named ____________setup an independent kingdom called Bahmani Kingdom.
The task of consolidating Mughal Kingdom was left to Akbar who was only _________ years old at the time of his accession of the throne.
Smoking in public places was prohibited nationwide from ________
A constitutional right can be ________ recognized and established by a sovereign State or union of States.
In Nepal the festival of lights i.e. Diwali is celebrated by some Buddhists as _______
The term "Vrajapati" used in Indian Mythology denoted _______
One of India's most distinguished constitutional lawyers who had received brickbats for arguing in favor of Dow Chemicals in the Bhopal gas disaster case is _________
The Nobel Peace Prize winner who gave up .freedom and a life with her family in Britain, to protest against the military rule at another country, who is also the Chair of the National League for democracy is ___________
In September 2015 it was revealed that is the country which was exporting drone components worth hundreds of millions to countries that include Saudi Arabia and South Korea, to regain lost ground in a global arms race.
In the Indian general assembly elections 2014 the BJP-led NDA won __________________seats out of________ Lok Sabha seats that were announced
The BS EN 16001 solutions from BSI is applicable for
The WEEE (Waste from Electrical and Electronic Equipment) is a directive that controls ______
The Sensex and Nifty are both indices. The base years for the BSE Sensex and Nifty are_________ and __________ respectively.
The artist who painted Irises, Sunflowers, Red Poppies, Pink Roses was _________
Which Indian satellite was launched that has a fantastic timing and records 1000th of a second ?
W3C stands for __________
The country/countries that has/have resorted to Quantitative easing in the last decade is/are
Who is the Indian badminton player who after spending an year after his shoulder injury earned a final appearance at the Korean Open in 2015 ?
Tamaasha, the traditional folk theatre form of Maharashtra has evolved from the folk forms of
The last series of wall painting in India are from near Hindupur belonging to 16th century A.D.
A bungalow has one of its room located on the first floor and there are three identical 100 watt electrical bulbs fixed in the room. Each bulb is connected to a specific switch located at the basement. There are only three switches in the basement. All the bulbs are switched off at present and you are also at the basement area. The first floor cannot be seen from the basement area. If you are allowed to use your common prudence, what is the minimum number of times that you will have to go from basement to first floor to identify which switch goes to which bulb?
Solution
Given that there are 3 bulbs and 3 switches.
First, we switch on the first switch and switch it off after some time. And then switch off the second switch and check the basement
The bulb which is off but a little bit warm corresponds to switch 1. The on bulb corresponds to switch 2 and remaining 1 is connected to switch 3.
Hence we need to check only once
Shyam is running a start-up. His initial investments are high and he is trying hard to manage and increase his cash flow. The sundry expenses that his firm incurs is negligible. He found from his accountant that the amount of pre-paid expenses in the balance sheet,
which were booked from the previous year to the current year was increased. Shyam also ensured that his cash funded by the venture capitalists did not reduce when compared to the previous year. The interest that he gets from his fixed deposits increases, which is in tune with his sundry expenses. The final effect on cash for this year would be _____________.
Solution
Cashflow is determined by other factors also like sales, expenditure. Moreover, it is not given how much increase sundry expense is actually there. So we can't comment on the cash flow
A producer of a drama theatre is creating his weekend schedule. The producer has six plays to choose from: "Made in India", "Laugh for a while", "The Life is your choice", "MBA - Maha Budhiman Aadmi", "Placements -my goal", "MBA Go Getters". The producer sets a schedule based upon the following criteria.
I. "Made in India" must be shown before "The Life is your choice" and "Laugh for a while"
II. "Laugh for a while" must be shown before "MBA - Maha Budhiman Aadmi"
III. "Placements - my goal" must be shown after "The Life is your choice" and "MBA Go Getters"
Which of the following weekend schedules are consistent with the producer's criteria ?
Solution
option 1 is incorrect as in this "Placements - my goal" is shown before "MBA Go Getters" which is against condition 3.
option 3 is incorrect as in this "Placements - my goal" is shown before "The Life is your choice" which is against condition 3.
option 4 is incorrect as in this "Laugh for a while" is shown after "MBA - Maha Budhiman Aadmi" which is against condition 2
Hence option 2 is correct which is satisfying all the conditions.
Mr. Peter gave his eldest son David a bag with 1000 gold coins. David took 230 gold coins from the bag and gave the rest to his younger brothers John, Joe and Jonathan, and advised them to distribute the balance left in the bag amongst themselves in proportion to their age which together amounted to 17.5 years. After a lot of deliberation and discussion John, Joe and Jonathan came to a conclusion to distribute the gold coins. Their methodology was as follows: As often John took 4 gold coins, Joe took 3. As often John took 6 gold coins Jonathan took 7. What was the age of John, Joe and Jonathan ?
Solution
BY using their methodology, we can create a table as:
Now, if we distribute 12 coins to John, we will have the following gold coins for the rest using the ratio mentioned above:
The given ratio, 12:9:14 is also the ratio of their ages.
For the sum of their ages to be 12+9+14=35 years, Age of John, Joe and Jonathon are 12, 9 and 14 years respectively.
So, if the sum of their ages amount to 17.5 which is half of 35,
their ages will be 6, 4.5 and 7 years respectively
Mohan has an antique clock which strikes and makes loud gong sound every hour. It strikes the exact number of times indicating the time of the day or night. His clock takes seven seconds to strike Seven O' clock, how many seconds will his clock take to strike Eleven O'clock?
Solution
After making the first gong, it has a gap of 6 time periods to complete the 7 gongs.
In other words, let us assume that at t=0, the first loud gong took place at 7 O' clock. After a period of 6 equal time periods, all the 7 gongs were made.
So, 6 time period= 7 seconds.
1 Time period= $$\ \frac{\ 7}{6}\sec$$
Similarly, at 11 O' clock, after the first gong, the remaining 10 gongs will sound at an interval of 10 equal time periods.
So, time taken= $$10\times\frac{\ 7}{6}\sec$$= $$\frac{\ 70}{6}\sec=\ 11.67\ $$ seconds.
Find the missing number : 2, 6, 20, 42, 110 __________
Solution
Share
The pattern is followed as:
Prime numbers multiplied by a number before that, i.e.,
2*1, 3*2, 5*4, 7*6, 11*10
So, the next number has to be 13*12, which is 156.
Fifteen years back, Ms. Kalpana had three sons Ramesh, Suresh and Rajesh. The sum of the age of Ramesh, Suresh and Rajesh was equal to half of the age of their mother. It was during the next five years when Mahesh was born. Then the age of Ms. Kalpana was equal to the sum of the ages of all her children. Time went on and years passed and Dinesh was bom and age of Ramesh equaled the sum of the ages of Rajesh and Mahesh. Now, it so happened that the sum of the ages of Ramesh, Suresh, Rajesh, Mahesh and Dinesh was double the age of their mother and was also equal to the sum of the ages of Suresh and Ramesh. Also Ramesh's age was equal to sum of the ages of Mahesh and Dinesh. What is the age of Ms. Kalpana?
Solution
Let G, S, R & N be their ages 15 years back. Let Amit & Keshav be born
after x & y years, Thus their ages after 15 years can be written as
Ax & K - y respectively. Thus the following equations are formed:
G = 2 (S + R + N)……………………..(1)
2(G + 15) = (S + 15) + (R + 15) + (N + 15) + {A + (15 x)}+ {K + (15 - y) }.....(2)
S + 15 = {A + (15 - x)}+ {K + (15 - y)}........(3)
G + 15 = (S + 15) + (R + 15).......(4)
Substituting equation 3 in 2 & then equation 4 in the new equation formed, we get R = N. Thus G = 24.
Therefore G’s present age is 24 + 15 = 39 years.
Find the missing number: -1, 0, ____, 8
Solution
The series follows a pattern of $$n^2-1$$
=> 0*0 - 1 = -1
=> 1*1 - 1 = 0
=> 2*2 -1 = 3
=> 3*3 - 1 = 8
Therefore, 3 is the correct answer.
Ceiling Fan : Table Fan :: abcdefg :
Solution
Ceiling fan is at the the top of the room, and table fan is at the bottom part of the room. So, the analogy is that of opposite places.
So, abcdefg can best be represented as gfedcba
There is a statement followed by two arguments. Choose the correct option which gives the decision on the arguments, which is derived from the statement.
Given Statement: The new amendment of Corporate Social Responsibility (CSR) in India refers to bringing an overall positive impact on the communities, cultures, societies and environments. The fundamentals of CSR rest on the fact that not only public policy but even corporate should be responsible enough to address social issues.
Argument I: Government should not enforce companies to take up CSR.
Argument II: Companies moral responsibility is to take up CSR for a long run benefit.
LPG subsidy is a stand taken by the government. Linking of Aadhar card to a bank account has been made mandatory for receiving the subsidy.
Argument I: All people should give up LPG subsidies.
Argument II: To fill the gap between poor and rich.
Solution
The premise of the question revolves around LPG subsidy being introduced by the government and that in order to receive the subsidy, Linking of Aadhar card to bank account has been made mandatory.
Argument 1 is out of scope as giving up LPG subsidy is not even close to the premise.
Argument 2 also falls under the same category, as there is no mention about the rich and poor in the premise.
Also, when we consider the two arguments together, there is no logical link between the two. So, option D.
For the following questions answer them individually
If CAB is coded as 723 - 5 58 in a coded language then how will DAD be coded ?
Solution
As per the CAB code, A is coded as 5 and should be the same in case of A in DAD.
For C in the CAB, C is the third letter in the English Alphabet.
So, 1) $$3^2=9$$
2) $$9^3=\ 729$$
3) 729-6= 723.
These 3 steps are followed to find the code of C.
If we cross check with B, the second alphabet,
1) $$2^2=4$$
2) $$4^3=\ 64$$
3) 64-6= 58- Which is how B is coded.
So, for D- the fourth alphabet, we have
1) $$4^2=16$$
2) $$16^3=\ 4096$$
3) 4096-6= 4090.
So, Option B is the correct one.
If MONEY is coded as 144 200 171 0 600 then DOLLAR is coded as ________
Solution
MONEY is coded as 144 200 171 0 600
M = 144 = 13^2-25
O = 200 = 15^2-25
N =171 = 14^2-25
E =0 = 5^2-25
Y = 600 = 25^2-25
So similarly following for Dollar
we get
D= 16-25
O = 225-25
L =144-25
A =1-25
R = 324-25
We get DOLLAR as - 9 200 119 119 - 24 299
There are 100 MBA aspirants in a classroom and 99% of them are engineers. How many engineers must leave the classroom in order to reduce the percentage of engineers in the classroom to 98% ?
Solution
99% of 100 students are engineers means that there are 99 engineers.
Let 'k' be the no. of engineers who leave.
no. of engineers now = 99-k
total no. of students now = 100-k
So, (99-k)/(100-k) = 0.98
=> 99-k = 0.98(100-k)
=> 0.02*k = 1
=> k = 50
Vikas was showing a photograph to his friend and pointed to a boy and told the following statement "His name is Atul and his maternal grandfather's brother is my maternal grandfather's sister's son." How is Atul related to Vikas ?
Solution
So, we can clearly see that Vikas is Atul's uncle.
There was a party organized and the following members attended the party : Sheela, Amruta, Rohit, Rahul, Ajey, Ranveer and Gauri. Sheela is mother-in-law of Amruta, who is sister-in-law of Rohit. Rahul is the father of Ajey. Ajey is the brother of Rohit. Ranveer is the only brother of Rahul and the father-in-law of Gauri. Gauri was married to Rohit. How is Sheela related to Ranveer ?
Solution
If Sheela is the mother-in-law of Amruta and Amruta is the sister-in-law of Rohit, this means that Sheela is the mother of Rohit.
If Ranveer is the father-in law of Gauri and Gauri is married to Rohit, this means that Ranveer is the father of Rohit.
Therefore, we can understand that Sheela is the wife of Ranveer.
sing the information given below answer the questions:
A chef is trying a recipe for a tasty ice cream using four ingredients. He can choose from three liquids for taste which are labeled A, B and C which are stable in nature and the choice for flavor can be from four liquids which are labeled W, X, Y and Z. For the new ice cream recipe to be tasty, there must be two liquids from the taste giving liquids. Also certain liquids cannot be mixed because of their reactions which makes it unhealthy for human consumption and the same is given below B cannot be mixed with W C cannot be mixed with Y Y cannot be mixed with Z
If the chef calculated that Y is the most important flavor and must be used in the recipe, which other ingredients must be part of the recipe ?
Solution
If Y has to be used, C has to be removed. This means that A and B must be used. Now that B has to be used, we cannot use W.
Option B is the correct answer.
'If the chef rejected B because of its possible side effects but decided to use Z, which is a possible combination of the four ingredients in the recipe ?
Solution
If chef rejects B, then he has to use A and C together. Options 2 and 3 can already be eliminated. Now, C cannot be used with Y. So, option 4 is also eliminated.
Option 1 is a possible combination.
Which of the following combination of liquids is impossible ?
I. Using Y and W together
II. Using B and C together
III. Using W, X and Z together
Solution
Total four ingredients - 2 from A, B, C and 2 from W, X, Y, Z
Given, B - W, C - Y and Y - Z shouldn't be mixed.
There are three possible ways of selecting two from A, B and C
AB - XY, XZ
AC - WX, WZ, XZ
BC - XZ
(i) Using Y and W together is not possible.
(ii) Using B and C together is possible. (BC - XZ)
(iii) Using W, X, Z together is not possible because only two ingredients from W, X, Y, Z must be used.
The answer is option C.
Which of the following must always be true ?
I. If C is used W must be added
II. If Y is used B must be added
III. If C is not used W cannot be added
Solution
Let us analyze statement 1:
If C is used with B, we cannot add Y and W because of the unhealthy effects stated. But we can use X and Z.
$$\therefore\ $$ Statement 1 is not always true.
Let us analyze statement 2:
If Y is used, we cannot use C for health reasons. But since we have to use 2 taste giving liquids, B has to be used with A.
$$\therefore\ $$ Statement 2 is always true.
Let us analyze statement 3:
If C is not used, we have to use A and B together and B cannot be mixed with W.
$$\therefore\ $$ Statement 3 is always true.
For the following questions answer them individually
Which letter from the options given will replace the " ? " in the table given below
Solution
We have
CAT 389376 DOG
Now CAT = 3+1+20 =24
24^2 =576
DOG =4+15+7 =26
26^2 =676
Now (576)(676) = 389376
Now following the same pattern :
CAN = 3+1+14 =18
18^2 =324
Now 571536/324 = 1764
Now $$\sqrt{\ 1764}\ =42$$
= GIFT (7+9+6+20)
Which word from the given options will replace the “?” in the table given below
Solution
The first and third columns consist of pairs of synonyms:
WOE $$\approx\ $$ MISERY
VANQUISH $$\approx\ $$ SUBDUE
TACITURNITY $$\approx\ $$ SILENCE
SPLEEN $$\approx\ $$ DRIP (In a medical/archaic context, "Spleen" refers to an organ/humor, and "Drip" relates to the drainage or "dropping" of fluids/humors).
The number also follow a different pattern where the first order difference increase by 20.
Thus, the correct answer is Option D.
Which word from the given options will replace the " ? " in the table given below
Solution
M is 13th letter and N is 14th letter so, 728 = 13*14*4.
B is 2nd letter and C is 3rd letter so, 24 = 2*3*4.
Similarly, F is 6th letter and G is 7th letter, then ? will be 6*7*4 = 168.
What is the least number of straight lines needed to draw the following diagram?
Solution
Count a line as one line as long as it is continuous even if there are other lines intersecting it.
No. of horizontal lines = 15
No. of vertical lines = 19
No. of inclined lines = 5
Total = 39
Answer the following by referring to the image.
Based on the information given below answer the questions:
Ten friends Matt, Sam, Pat, Tom, Sid, Alex, Kat, Jim, Jane and John are having dinner on a rectangular table. Eight facing each other along the length of the table while two facing each other along the smaller side of the table. Pat is sitting diagonally opposite to Kat, Alex is facing Jim, John is to the right of Jane, Tom is sitting between Sam and Jim, Pat is to the extreme left of Jane who is sitting on the extreme right along the length of the table. Sid is facing Tom and Matt is on the right of Sam.
Who do you think is sitting in front of each other along the small sides of the table ?
Solution
Sid is sitting between which of the following two ?
Solution
Who are sitting diagonally opposite to each other ?
Solution
Who is sitting to the immediate right of Jim
Solution
Who is sitting two places left to Jane ?
Solution
For the following questions answer them individually
"To catch a tartar" means ___________
Solution
'To catch a tartar' is an idiom which means to encounter with someone that proves more powerful or troublesome.
A leopard can't change its ____________
Solution
The correct idiom is that a leopard cannot change its spots, meaning people cannot change their basic personalities.
None of the options have spots as an option hence Option D would be the correct answer.
"So sober sometimes serious Sam smiles on silly things" is a /an _______.
Solution
A Hyperbole refers to exaggeration
Assonance refers to the resemblance of sound between syllables of nearby words like cold, culled etc.
Anaphora is the repetition of a word or phrase at the beginning of successive phrases clauses or sentences.
Alliteration refers to the repetition of the same letter at the beginning of consecutive words.
Since 's' is repeated in the beginning of words here, the answer is (d) alliteration.
"The strength given by my mother is bigger than the cosmic energy in this cosmos" is ___________
Solution
A rhyme is a correspondence of sound between words or the endings of words, especially when these are used at the ends of lines of poetry.
A metaphor is a figure of speech in which a word or phrase denoting one kind of object or action is used in place of another to suggest a likeness or analogy between them.
Personification is the attribution of a personal nature or human characteristics to something non-human or the representation of an abstract quality in human form.
Hyperboles are exaggerated statements or claim not meant to be taken literally.
The buzzing of bees is an example of __________
Solution
Onomatopoeia is the formation of a word from a sound associated with what is named. So the buzzing of bees is an onomatopoeia.
The word CACTI is of Latin origin. It can also be replaced by ___________
Solution
The plural form of cactus is known as cacti.
The word TROUSSEAUX is of French origin. It can also be replaced by ______
Solution
Trousseaux means the clothes, linen, and other belongings a bride collects for her marriage.
The singular of the word SCARVES is spelt as _________
Solution
The singular form of scarves is scarf. In English, nouns ending in "-f" or "-fe" often change to "-ves" in the plural.
From singular scarf to plural scarves.
None of the options match, hence, option D is the correct answer.
The "Drawing Pins" in British English is referred to as __________ in American English.
Solution
In British English, "drawing pins" are small pins with a flat, broad head that fasten papers to a bulletin board or wall. In American English, these are commonly called "thumbtacks." The term "thumbtacks" reflects their use, as they can be pressed into a surface with the thumb. Options like "thumb pins," "board pins," and "broad pins" are not standard terms for this item in American English.
"Aubergine" in Britain is referred to as in United States of America.
Solution
Aubergine is a French word, and it is how Europeans refer to what Americans would typically call an eggplant.
Base ball in American English is commonly referred to as ___________ in British English.
Solution
Baseball is America is referred to as rounders in Britain.
Complete the collocation words __________ weapon
Solution
The correct answer is nuclear as we say nuclear weapon and the atomic bomb.
Complete the collocation words Seminal __________
Solution
Seminal means strongly influencing later developments so it is related to research.
Complete the collocation words _________ Percentage
Solution
The correct answer is large, we say huge margin and not huge percentage.
The idiom "Against the clock" means
Solution
The idiom against the clock means in a great hurry, as fast as possible.
The idiom "Buy a lemon" means ___________
Solution
The idiom to buy a lemon means to buy something which is worthless or does not work well.
Kedar uses the following sentence to introduce himself. Choose the correct option.
Solution
The word "myself" should not be used to introduce oneself in this way. A correct way to introduce oneself would be: "I am Kedar, and I am from Mumbai."
Therefore, Option D is the correct answer.
Ram uses the following sentence to tell the time of the day to Shyam. Which one is the correct sentence ?
Solution
When we say 2 pm it is already understood that it is afternoon and we dont need to add afternoon in a sentence. Hence the correct sentence is, it is 2'o clock in the afternoon.
In the following questions parts have been underlined. If any rule of correct English is violated then it could be only in the UNDERLINED part, marked as 1, 2, 3 or 4. Choose the option, which violates usage of correct English.
My Parents/1 are Indians but/2 I am/3 born in Sydney/4.
Solution
The "P" in "parents" is in capital letters which is wrong in part 3 it should be "I was" as the birth was in the past and not in present.
Standing/1 on the top of the tower the whole city could be seen/3.
Solution
There is no error in any of the parts.
Ganesh is taller than/1 Ramesh but/2 Anoop is/3 more taller/4.
Solution
In part 4, The phrase "more taller" is incorrect because "taller" is already a comparative adjective. Using "more" along with a comparative adjective is redundant.
The correct sentence could be : "Ganesh is taller than Ramesh, but Anoop is the tallest."
Read the following passage and answer the questions:
"There are several factors that contribute to wisdom. Of these I should put first a sense of proportion; the capacity to take account of all the important factors in a problem and to attach to each its due weight. This has become more difficult than it used to be owing to the extent and complexity of the specialized knowledge required of various kinds of technicians. Suppose, for example, that you are engaged in research in scientific medicine. The work is difficult and is likely to absorb the whole of your intellectual energy. You have no time to consider the effect which your discoveries or invention may have outside the field of medicine. You succeed (let us say), as modern medicine has succeeded, in enormously lowering the infant death-rate, not only in Europe and America, but also in Asia and Africa. This has the entirely unintended result of making the food supply inadequate and lowering the standard of life in the most populous parts of the world. To take aneven more spectacular example, which is in everybody's mind at the present time- you study the composition of the atom from a disinterested desire for knowledge and incidentally place in the hands of powerful lunatics the means of destroying the human race. In such ways the pursuit of knowledge may become harmful unless it is combined with wisdom; and wisdom in the sense of comprehensive vision is not necessarily present in specialists in the pursuit of knowledge. Comprehensiveness alone, however, is not enough to constitute wisdom. There must be, also, certain awareness of ends of human life. This may be illustrated by the study of history. Many eminent historians have done more harm than good because they viewed facts through the distorting medium of their own passions. Hegel had a philosophy of history which did not suffer from any lack of comprehensiveness, since it started from earliest time and continued into an indefinite future. But the chief lesson of history which he sought to inculcate was that from the year A.D. 400 down to his own time, Germany had been the most important nation and the standard bearer of progress in the world. Perhaps one could stretch the comprehensiveness that constitutes wisdom to include not only intellect but also feeling. It is by no means uncommon to find men/ women whose knowledge is wide but those feelings are narrow. Such men / women lack what I am calling wisdom. I think the essence of wisdom is emancipation, as far as possible, from the tyranny of the here and the now. We cannot help the egoism of our senses. Sight, sound and touch are bound up with our own bodies and cannot be made impersonal. Our emotions start similarly from ourselves. An infant feels hunger or discomfort; gradually with the years his horizon widens, and, in proportion as his thoughts and feelings become less personal and less concerned with his own physical states, he achieves growing wisdom. This is of course a matter of degree. No one can view the world with complete impartiality; however, it is possible to make a continual approach towards impartiality, on the one hand, by knowing things somewhat remote in time or space, and, on the other hand, by giving to such things their due weight in our feelings. It is this approach towards impartiality that constitutes growth in wisdom. Perhaps in this sense the wisdom can be taught. I think that this teaching should have a larger intellectual element than has been customary in what has been thought of as moral instruction. I think that the disastrous result of hatred and narrow mindedness to those who fed them can be pointed out incidentally in the course of giving knowledge. Knowledge and morals ought not to be too much separated. It is true that the kind of specialized knowledge which is required for various kinds of skills has very little to do with wisdom. But it should be supplemented in education by wider surveys calculated to put it in its place in the totality of human activities. Even the best technicians should also be good citizens, i.e. citizens of the world and not of any one nation. With every increase of knowledge and skill, wisdom becomes more necessary for every such increase augments our capacity of realizing our purposes, and therefore augments our capacity for evil, if our purposes are unwise. The world needs wisdom as it has never needed it before; and if knowledge continues to increase, the world will need wisdom in the future even more than it does now.
According to the author what results in growth of wisdom ?
Solution
The author says that "No one can view the world with complete impartiality; however, it is possible to make a continual approach towards impartiality, on the one hand, by knowing things somewhat remote in time or space, and, on the other hand, by giving to such things their due weight in our feelings. It is this approach towards impartiality that constitutes growth in wisdom"
So option C is the correct answer.
According to the author the essence of wisdom is ______
Solution
The author says that "I think the essence of wisdom is emancipation, as far as possible, from the tyranny of the here and the now" so the answer is option B.
What according to the author is the relationship between knowledge and wisdom ?
Solution
In the last line of the passage, the author states that "The world needs wisdom as it has never needed it before; and if knowledge continues to increase, the world will need wisdom in the future even more than it does now."
So the answer is option C.
The example used by the author to explain the ways in which the pursuit of knowledge can be harmful, unless combined with wisdom, is
Solution
The example used by the author to explain the ways in which the pursuit of knowledge can be harmful, unless combined with wisdom, is b) medicine that lowers infant mortality across the world. The author illustrates this by describing how a specialist in scientific medicine, absorbed in their research, might succeed in reducing infant death rates globally—an achievement born from knowledge. However, this success unintentionally leads to an inadequate food supply and a lowered standard of living in populous regions, highlighting the unintended consequences of knowledge without the broader perspective of wisdom. The other options—a) the space mission and c) the progress of Germany—are not directly cited as examples in this context. The space mission is not mentioned, and Germany’s progress relates to Hegel’s philosophy of history, not a direct example of knowledge’s harmful pursuit. Thus, b) is the most fitting answer, as it aligns with the author’s argument about the need for wisdom to temper specialized knowledge.
What factors according to the author, contribute to wisdom ?
Solution
In the passage the author has mentioned the following factors which contribute to wisdom
"Perhaps one could stretch the comprehensiveness that constitutes wisdom to include not only intellect but also feeling"
"There must be, also, certain awareness of ends of human life."
"I think the essence of wisdom is emancipation, as far as possible, from the tyranny of the here and the now"
These are given in option C.
Read each of the components of the given sentences and mark the component with grammatical error.
I. He is capable at
II. twisting any fact
III. without any suspicion
IV. at any time
Solution
The component with the grammatical error is "I. He is capable at".
The correct expression is "He is capable of" rather than "He is capable at." So, the corrected sentence should be:
He is capable of twisting any fact.
I. My cousin brother, who lives
II. in Goa, is eager to visit us
III. in Mumbai and aspires to have
IV. a glimpse of the city
Solution
The phrase "my cousin brother" in component I contains a grammatical error. In standard English, "cousin" alone is sufficient to indicate a familial relationship, and adding "brother" is redundant and non-standard unless specifying gender, which is not necessary here. The correct phrasing would be "My cousin, who lives." The other components (II, III, IV) are grammatically correct.
Choose the correct word which best fits for the sentence to be complete and grammatically correct.
It was no wonder that after the roads were closed with continuous snow fall, hotels started__________ off the tourists.
Solution
Options C and D cannot be the answer as these are extreme.
Option B: taking off would mean starting something that does not fit the given context.
This leaves us with option A: ranking off, which can be interpreted as sequencing or ranking which customers to give preference to. This fits the sentence better than the other three options and, hence, would be the answer.
When the penalty corner was saved, the players __________ in toward the goal keeper to congratulate him.
Solution
Crashed in means move or cause to move with force, speed, and sudden loud noise.
For the following questions answer them individually
The synonym for the word "Inclement" is
Solution
"inclement" means unpleasantly cold or wet.
This would be the match in meaning closest to option A: stormy.
"intimate" means closely acquainted or familiar, unrelated to inclement.
"advocacy" means to publicly support something, which again is unrelated to inclement.
Therefore, Option A is the correct answer.
The antonym for the word "Taciturn" is _______
Solution
The opposite of taciturn is talkative and garrulous means excessive talkative.
Complete with the appropriate collocation word :
________ activism.
Solution
Judicial activism is the exercise of the power of judicial review to set aside government acts.
If Propensity : Tendency then ______
Solution
Propensity and tendency are synonyms of each other and so among the given options, in option C audacity and impudence are synonyms of one another.
If Tepid: Hot then ________
Solution
The relationship between "Tepid" and "Hot" is one of degree: "Tepid" means lukewarm or mildly warm, while "Hot" represents a more intense level of warmth. Similarly, "Joy" is a feeling of happiness or pleasure, while "Ecstasy" is a heightened, more intense state of joy. This mirrors the escalation in intensity seen in the original pair. The other options—a) Jealousy : Envy, b) Hatred : Antipathy, and c) Unity : Harmony—do not consistently reflect the same clear increase in degree. Therefore, the best answer is d) Joy : Ecstasy.
From the following words pick the odd word out.
Solution
Lampoon means to publicly criticize someone or something by using ridicule, irony, or sarcasm.
Satire is the use of humour, irony, exaggeration, or ridicule to expose and criticize people's stupidity or vices, particularly in the context of contemporary politics and other topical issues.
Ridicule is the subjection of someone or something to contemptuous and dismissive language or behaviour.
The parable is a simple story used to illustrate a moral or spiritual lesson, as told by Jesus in the Gospels.
From the following words pick the odd word out.
Solution
Euphemism is a mild or indirect word or expression substituted for one considered to be too harsh or blunt when referring to something unpleasant or embarrassing.
Maxim is a short, pithy statement expressing a general truth or rule of conduct.
Aphorism is a pithy observation which contains a general truth.
A dictum is a formal pronouncement from an authoritative source.
From the following words pick the odd word out.
Solution
Force is the strength or energy as an attribute of physical action or movement.
Intimidation is the act of intimidating someone or the state of being intimidated.
Shakedown means a thorough search of a person or place.
Bleak means charmless and inhospitable.
The following questions have sentences which are incomplete. Pick up one phrase / clause from the options given, that will complete the sentence logically.
To ensure success in a difficult task___________
Solution
The correct form of persistent used should be persistence.
The more we looked at the piece of modern art _________
Solution
The correct option is B which is better we liked it.
For the following questions answer them individually
A batsman was having 32 runs per innings as his average after 15th innings. His average increased by 2 runs after 16th inning. Then what was his score in the 16th inning?
Solution
This can be answered either by using averages concept or alligations concept.
Alligations :$$p=\frac{\left(p1q1+p2q2\right)}{q1+q2}$$ where q1 and q2 are the number of innings in two group's , p1 and p2 are there respective averages(average runs) , p is the overall average.
Here q1=15 , q2=1 , p1=32 , p= 34 (since increased by 2 runs)
On solving the equation you get p2=64
The least number which is a perfect square and is divisible by each of the numbers 14, 16, 18 is
Solution
The least number that is divisible by 14,16,18 will be the LCM of three which is 1008 but it is not a perfect square .
$$1008=2^4\cdot3^2\cdot7^{ }$$ To make it a perfect square you need to multiply it by 7.
1008*7=7056
Four people clap after every 20 minutes, 30 minutes, 40 minutes and 50 minutes respectively. All of them clapped together at 10.00 am. Then they will again clap together at ________
Solution
All of them will clap together after LCM(20,30,40,50) minutes = 600 minutes=10hrs
Therefore they will clap together again at 8pm.
Three candidates "A", "B", "C" participated in an election. "A" gets 40% of the votes more than "B". "C" gets 20% votes more than "B". "A" also overtakes "C" by 4000 votes. If 90% voters voted and no invalid or illegal votes were cast, then what will be the number of voters in the voting list?
Solution
Let 100x be the total numbers of voters in the voters list. => 90x voters voted
A=1.4B (since A received 40% more votes than B)
C=1.2B
Given A-C = 4000
1.4B-1.2B=4000 => B=20000 => A=24000 and C = 28000
So total voter who voted =A+B+C= 72000 which is 90% of the total list.
So when 90%= 72000 , 100%= 80000.
In a competitive exam there were 5 sections. 10% of the total number of students cleared the cut off in all the sections and 5% cleared none of the sections. From the remaining candidates 30% cleared only section 1, 20% cleared only section 2, 10% cleared only section 3 and remaining 1020 candidates cleared only section 4. How many students appeared in the competitive exam ?
Solution
Let total number of students=100x
10x=students who cleared the cut off in all the sections
5x=students who cleared none of the sections.
Remaining = 85x
Out of these 85x , 30% cleared only 1st section , 20% cleared only 2nd section, 30% cleared only section 3
Together they constitute 60% of 85x
Remaining= 40% of 85x =1020
On solving x=30
Total students=100x= 100*30=3000
A man sold $$\frac{3}{5}$$th of his articles at a gain of 20% and the remaining at cost price. Find the percentage gain earned in the transaction.
Solution
This can be solved in an easier manner by using allegations concept.
$$p=\frac{\left(p1q1+p2q2\right)}{q1+q2}$$ where p1 ,p2 are profit percentages , q1,q2 are the number of articles , p is the overall profit percentage.
Here q1=3/5 , q2 =2/5 , p1=20 , p2=0
On solving you get p as 12
A trader sells 20 articles at Rs. 54 per article after giving 10% discount and gains 50% profit. If the discount is not given, the profit gained is ______
Solution
P=50% and D=10%
The trader earns a revenue of Rs 54*20 after selling the items. = Rs 1080.
This is equivalent to a 50 percent profit.
Hence the cost price of all the items is Rs 1080*2/3 = Rs 720.
The revenue of Rs 1080 was earned after a discount of 10 percent.
If K is the marked price: K*(9/10) = K = Rs 1200.
Hence the profit percentage if no discount is provided :
$$\frac{\left(1200-720\right)}{720}\cdot100\ =\ 66.66\%$$
A bottle contains 50 liters of milk. From this bottle 5 liters of milk was taken out and replaced the water. This process was repeated further for three times. How much milk is now contained in the bottle ?
Solution
Final volume of Milk = Initial volume of milk$$\left(1-\frac{y}{x}\right)^n$$
where y=quantity of milk removed in each iteration , x= total quantity of the mixture and n=number of times the process being repeated
Final volume of milk = $$50\cdot\left(1-\frac{5}{50}\right)^4$$
= 32.805
A ball is dropped from a height of 200 meters. After striking the floor it re-bounces to $$\frac{4}{5}th$$ of the height from where it fell. The total distance it travels before coming to rest is _____
Solution
For the 1st drop the distance travelled by the ball = 200m
After 1st drop it rebounces to a height of 4/5 * 200 and then falls from that height . The total distance travelled in this case would be $$2\cdot\frac{4}{5}\cdot200$$
Similarly the total distance travelled in next case would be $$2\cdot\frac{4}{5}\cdot\frac{4}{5}\cdot200$$
So total distance =
200 + $$2\cdot200\cdot\left(\frac{4}{5}+\left(\frac{4}{5}\right)^2+\left(\frac{4}{5}\right)^{3\ }+....\right)$$
200+400$$\left(\frac{4}{\frac{5}{1-\frac{4}{5}}}\right)$$ = 1800m
The sum of all two digit numbers that give a remainder 2 when they are divided by 7 is _______
Solution
The numbers will be of the form 7k+2, where k is a whole number.
The smallest two-digit number is when k=2, which is 16, and the largest 2 digit number is 93 when k = 13.
So sum = 16+23+.... +93, which is in AP.
Sum to n terms of an AP= n/2(a+l), where n=number of terms , a=1st term ,l=last term
Here n=12 , a=16 , l=93
Hence sum = $$\frac{12}{2}\left(16+93\right)$$ = 654
A man covers half of his journey by train at 90 km/hr, one-third of the remainder by bus at 30 km/hr and the rest by cycle at 10 km/hr. The average speed during the entire journey is ______
Solution
Average speed = Total distance/total time
Let us consider total distance =180km
Case 1 : man covers half of his journey by train at 90 km/hr
Distance= 90km => time t1=$$\frac{90}{90}$$=1hr
Remaining distance = 90km
Case 2 : man covers one-third of the remainder by bus at 30 km/hr
Distance = 30km => time t2=$$\frac{30}{30}$$=1hr
Case 3 : man covers rest by cycle at 10 km/hr
Distance = 60km => time t3=$$\frac{60}{10}$$=6hr
Therefore Average speed = $$\frac{180}{1+1+6}$$= 22.5km/hr
John's grandfather was five times older to him 5 years ago. He would be two times of his age after 25 years from now. What is the ratio of John's age to that of his grandfather ?
Solution
Let age of john 5 years ago be x years
age of his grandfather 5 years ago will be 5x
25 years from now there ages will be x+30 and 5x+30 respectively
Given 5x+30 =2(x+30) => x=10
So there present ages would be x+5=15 and 5x+5=55
Ratio = 3:11
A number when successively divided by 5 and 6 gives remainders 3 and 2 respectively. What will be the remainders if the number is successively divided by 3 and 4 ?
Solution
Going in the reverse order
When a number is divided by 6, the remainder is 2 => the number is of the form 6k+2
When 6k+2 is divided by 5,the remainder is 3 => the number is of the form 5(6k+2)+3 = 30k+13
When 30k+13 is divided by 3, the remainder is 1.
The remaining is 3(10k+4), so when 10k+4 is divided by 4, the remainder is 0 or 2
Among the given options 1, 2 satisfies this condition.
How many zeros would be there in $$1024!$$
Solution
The number of zeros in n! = highest power of 5 in n!
Highest power of 5 in 1024! = [$$\frac{1024}{5}$$] + [$$\frac{1024}{25}$$] +[$$\frac{1024}{125}$$] + [$$\frac{1024}{625}$$] where [ ]is the greatest integer function.
Highest power of 5 in 1024! = 204+ 40+ 8+ 1 = 253
If x = 3 + 2$$\sqrt{\ 2}$$ what will be the value of $$X^2 + \left(\frac{1}{X^2}\right)$$?
Solution
X=3+2$$\sqrt{\ 2}$$
$$\frac{1}{x}=3-2\sqrt{\ 2}$$
$$x^2+\frac{1}{x^2}=\left(x\ +\frac{1}{x}\right)^2-2$$ = $$6^2-2=34$$
The unit digit in the final solution when, 13*27*63*51*98*46 is ...........
Solution
For calculating the units digit ,you only take last digit in each number and start multiplying them and when ever a 2 digit number is generated,you take only the units digit of that as well and go on.
Therefore 13*27*63*51*98*46 = 3*7*3*1*8*6 = 21*3*1*8*6 = 1*3*1*8*6 = 24*6 = 4*6 = 24 = 4
A dishonest seller sells his grocery items using a false weight and thus gains 5% for a kilogram, he uses the weight of approximately ________
Solution
Let us assume that he uses x grams of weight instead of 1000gm.
Now, SP=CP*$$\frac{1000}{x}$$
$$\frac{SP}{CP}=\frac{1000}{X}$$
$$\frac{SP}{CP}-1=\frac{1000}{X}-1$$
$$\frac{5}{100}=\frac{1000}{X}-1$$
$$\frac{5}{100}+1=\frac{1000}{X}$$
$$\frac{105}{100}=\frac{1000}{X}$$
X=952.381
A, B and C can do a work in 6, 8 and 12 days respectively. If they do the work together and earn Rs. 2700, what is the share of C in that amount ?
Solution
shares are divided in the ratio of their efficiency.
Let us assume that a work of 24units is to be done
A does 4 units of work every day
B does 3 units of work everyday
C does 2 units of work everyday.
So shares will be divided in the ratio 4:3:2
So C's share will be $$\frac{2}{9}\cdot2700$$ = 600 Rs
How many words each of two vowels and three consonants can be formed from the letters of the word "UNIVERSAL" ?
Solution
The number of ways of selecting 2 vowels from U,I,A,E = $$4_{c_2}$$ = 6
The number of ways of selecting 3 consonants from N,V,R,S,L = $$5_{c_3}$$ = 10
After selecting you can arrange them is 5! ways.
Total number of words = 6*10*120 = 7200
Three pipes A, B and C can fill a tank in 12 hours. All the pipes started working together and after 3 hours, C is closed. If A and B can fill the remaining part in 10 hours, then the number of hours taken by C alone to fill the tank is .
Solution
Let efficiencies of A,B,C be a,b,c respectively.
Given a+b+c = $$\frac{W}{12}$$ => Total work = 12(a+b+c)
They worked together for 3 hours. So work done in 3 hours = 3(a+b+c)
Remaining= 9(a+b+c) which is filled by a and b only in 10 hours
So $$a+b\ =\frac{\left(9\left(a+b+c\right)\right)}{10}$$
On solving a+b=9c
So W= 12(9c+c)=120c
Time taken by C alone = $$\frac{120c}{c}$$=120 hours
If the numbers between 01 to 65 which will be divisible by 4 are taken and then if the number present in the units places and tens places is swapped, post which they are written in ascending order, then which of the following number will be at 10th place from the last ?
Note that 01 when swapped will become 10 and so on.
Solution
The total number of multiples of 4 is 16. (04, 08, 12, ...., 64)
The numbers, which are multiples of 4, have their unit digit 0/2/4/6/8
The multiples of 4, with their unit digit as 8, are (08,28,48), and the multiples of 4, with their unit digit as 6, are (16, 36, 56).
The multiples of 4, with their unit digit as 4, are (04, 24, 44, 64), and the multiples of 4, with their unit digit as 2, are (12, 32, 52), the multiples of 4, with their unit digit as 0, are (20, 40, 60).
It is given that the number present in the units places and tens places is swapped, post which they are written in ascending order, then which of the following numbers will be at 10th place from the last => (16+1-10) = 7th from the beginning.
In ascending order (after swapping the digits), the least value will be those numbers that had '0' as their unit place. After that, the numbers had '2' as their unit place, and so on.
7th from the beginning = (3 numbers that had 0 as their unit place) + (3 numbers that had 2 as their unit place) + (1st number that had '4' as their unit place)
Hence, the first number that had 4 as their unit place now becomes (04 => 40). Hence, 40 is the correct answer.
Ajit, Ravi and Hari were trying to hit a target. If Ajit hits the target 5 times in 8 attempts, Ravi hits it 3 times in 5 attempts and Hari hits it 2 times in 4 attempts. What is the probability that the target is hit by at least 2 persons ?
Solution
Probability of Ajit = 5/8
Probability of Ravi = 3/5
Probability of Hari = ½
Probability that the target is hit by at least 2 persons = 1 - [Prob of no hit + Prob of 1 hit].
=$$1-\left(\frac{3}{8}\times\ \frac{2}{5}\times\ \frac{1}{2}+\frac{5}{8}\times\ \frac{2}{5}\times\ \frac{1}{2}+\frac{3}{8}\times\ \frac{3}{5}\times\ \frac{1}{2}+\frac{3}{8}\times\ \frac{2}{5}\times\ \frac{1}{2}\right)$$
= $$1-\frac{31}{80}=\frac{49}{80}$$
If $$\frac{1}{2} \log x + \frac{1}{2} \log y + \log 2 = \log(x + y)$$, then ..............
Solution
mlog(a) + nlog(b) = log($$a^{\frac{1}{m}}\cdot b^{\frac{1}{n}}$$)
Therefore the given LHS reduces to log(2$$\sqrt{\ xy}$$) which is equal to log(x+y)
Remove log on both sides
2$$\sqrt{\ xy}$$=x+y
$$\left(\sqrt{\ x}\right)^{2\ }+\ \left(\sqrt{\ y}\right)^2\ -2\sqrt{\ x\cdot y}=0$$
$$\left(\sqrt{\ x}-\sqrt{\ y}\right)^2=0$$
=> x=y
$$\log_{5}{25} + \log_{2} (\log_{3}{81})$$ is
Solution
$$\log\left(a^m\right)\ =\ m\log\left(a\right)\ and\ \ \log_aa$$ = 1
$$\log_55^2\ +\ \log_2\left(\log_33^4\right)$$
2 + $$\ \log_24$$
2+ $$\ \log_22^2$$
4
Peter was standing on the top of a rock cliff facing the sea. He saw a boat coming towards the shore. As he kept seeing time just flew. Ten minutes less than half of an hour, the angle of depression changed from 30 to 60. How much more time in minutes will the boat take to
reach the shore ?
Solution
Let AB represent the rock cliff with its height be h
D represents the initial point and C is the point at which he observers the boat after Ten minutes less than half of an hour (20 minutes).
BD = $$\frac{h}{\tan\ \left(30\right)}\ =\ \sqrt{\ 3}h$$
BC = $$\frac{h}{\tan\ \left(60\right)}\ =\ \frac{h}{\sqrt{\ 3}}$$
In 20 minutes boat covered CD length which is = $$\sqrt{\ 3}h\ -\ \frac{h}{\sqrt{\ 3}}=\ \frac{2h}{\sqrt{\ 3}}$$
Hence remaining lenght $$\frac{h}{\sqrt{\ 3}}$$(BC) will be covered in 10 minutes
In a school where there was a compulsion to learn at least one foreign language from the choice given to them, namely German, French and Spanish. Twenty eight students took French, thirty took German and thirty two took Spanish. Six students learnt French and German, eight students learnt German and Spanish, ten students learnt French and Spanish. Fifty four students learnt only one foreign language while twenty students learnt only German. Find the number of students in the school.
Solution
Exactly 1 subject = a+b+c ---> Represented by X
Exactly 2 subjects=d+e+f -----> Represented by Y
Exactly 3 subjects= g -----> Represented by Z
So X + Y+ Z + none = total --------------> (I)
German + French + Spanish = (a+b+c) +2(d+e+f) + 3(g) = X+ 2Y + 3Z -----------> (II)
So X+2Y+3Z= 30+28+32=90
Given X = 54
So 2Y +3Z = 36--------> (1)
Given ,
French and German = 6 => d+g = 6
German and Spanish = e+g = 8
French and Spanish = f + g = 10
adding all the three (d+e+f) + 3g = 24
Y + 3Z = 24 ------> (2)
solving 1 and 2 you get Y=12 and Z=4
Therefore Total = X+Y+Z+None = 54+12+4=70
Sonali can solve 70% of the problems in a competitive exam and Nirali can solve only 60% in the same exam. What is the probability that at least one of them will solve a problem, provided selection of questions is done randomly from the same exam ?
Solution
P(atleast 1 solved) = 1 - P(no one solved)
= 1-(1-0.7)x(1-0.6)
= 1 - (0.3)x(0.4)
= 1 - 0.12
= 0.88
Rs. XYZ was deposited at simple interest at a specific rate for 3 years. Had it been deposited at 2% higher rate, it would have fetched Rs. 360 more. Find Rs. XYZ.
Solution
Let the rate of interest be x% and Principal amount be P
Simple interest in 1st case = $$\frac{\left(P\cdot3\cdot X\right)}{100}$$
Simple interest in 2nd case = $$\frac{\left(P\cdot3\cdot\left(X+2\right)\right)}{100}$$
Given the difference is 360
$$\frac{\left(3\cdot P\right)}{100}\left(X+2-X\right)$$ = 360
So on solving we get P=6000.
A man invests a certain amount at 6% per annum simple interest and another amount at 7% per annum simple interest. His income from the interest after 2 years was Rs. 348. The ratio of the first amount to the second is 4:5. Find the approximate total amount invested.
Solution
Let the total amount invested be 9x
So the interest for 2 years on 4x amount at 6% per annum simple interest = $$\frac{\left(4x*2*6\right)}{100}$$
the interest for 2 years on 5x amount at 7% per annum simple interest = $$\frac{\left(5x*2*7\right)}{100}$$
Given the sum of these = 348
1.18x = 348 => x$$\simeq\ $$295
So the total amount invested = 2655
A person has a bag which contains 9 bulbs out of which 2 are fused and cannot be used to lighten the room. Two bulbs are selected at random. What is the probability that all the two bulbs chosen can be used to lighten the room ?
Solution
Probability = Number of favourable cases/ total number of cases
favourable cases= $$7_{c_2}$$
total cases = $$9_{c_2}$$
Probability = $$\frac{\left(7c_2\right)}{\left(9_{c_c}\right)}$$ =7/12
The value of (P-a) * (P-b) * (P-c)………….* (P-z) is ____________
Solution
If the question would have been "can be" , then all the options would have been correct but since it has been given as 'is' , only option d satisfies.
Option A: The polynomial can start with any power of P. The order of powers of P does not make any difference.
Option B:It is possible only when P = a or b or c ...... or z
Option C:The polynomial can start with any power of P. The order of powers of P does not make any difference.
Option D:This is true in all the cases.
There are nine humans in a ship, each human has nine cages and each cage has nine huge lions and each lion has nine cubs. How many legs are there in the ship ? (Human have two legs, lions have four legs, cubs have four legs.)
Solution
Total number of humans = 9 => total legs = 9*2=18
Total number of lions = 9*9*9 => total legs= 9*9*9*4=2916
Total number of cubs = 9*9*9*9=> total legs =9*9*9*9*4=26244
So total legs= 29178
As shown in the figure, there is a square of 24 cm. A circle is inscribed inside the square. Inside the circle are four circles of equal radius which are inscribed. The total area of the shaded region in the figure given below is ________
Solution
The above area can be obtained by the following operation: Area of Big Square - Area of the Bigger circle + $$4\times\ $$ Area of Smaller Circle + $$8\times\ $$ Overlapping Area of smaller circles
i) Area of Big Square = $$24\times\ 24=576$$
ii) Area of Big circle = $$\pi\ 12^2\ =\ 144\pi\ $$
iii) Area of smaller circle = $$\pi\ 6^2\ =\ 36\pi\ $$
iv) For Area of smaller common area = 2b from below figure
Area b = Area of circular arc(2b+a) - Area of triangle (a+b)
= $$\frac{1}{4}\left(36\pi\ \right)-\ \frac{1}{2}\left(6\times\ 6\right)$$ =$$9\pi\ -18$$
Area of common part of smaller circle = 2b = $$18\pi\ -36$$
Therefore required area = $$576-144\pi+\left(4\times\ 36\pi\right)-8\times\ \left(18\pi\ -36\right)$$
= $$288+144\pi\ $$
None of the above are correct
In the figure given below the value of x and y would be __________
Solution
Let the point between A and C be D
Triangle ABD and Triangle BCD are congruent using ASA congruency
Therefore 2x=3y and 4x=5y+10
On solving X=15 and Y=10
Mr. Suresh went into a restaurant and had a happy lunch for Rs.162. He paid for the same using a 500 rupee note. He was so happy with the meal and hence purchased a mini snack box for Rs. 37 and paid for the same using a 100 rupee note. Mr. Suresh ensured that he collected the balance from the cashier in both cases. Although he was satisfied with the service, he did not pay any tips to the server. The next day when the cashier went and deposited the money in the bank, it was found by the banker that only the two currency notes which were given by Mr. Suresh were counterfeit notes. As per policy, the bank immediately tore both the notes using their shredding machine. What is the total loss to the restaurant in this transaction ?
Solution
Total loss would be = Cost of food + Change that restaurant has given suresh
= 162+37 + 338+63=600
If $$2^x + 2^{x + 1} = 48$$, then the value of $$x^x$$ is
Solution
$$2^x\ +\ 2^x.2\ =48$$
$$2^x\ \left(1+2\right)\ =48$$
$$2^x\ =16$$
x=4
$$4^4=256$$
Following table shows the percentage population of six states below poverty line and proportion of male and female.
If the total population of state A is 5000 then what is the no. of females above poverty line in state A?
Solution
Total population of A=5000
Population of A below poverty line =16% => population of A above poverty line = 84% = 4200
Number of females above poverty line in A = $$\frac{4}{7}\cdot4200\ =2400$$
If the population of C&D together is 20000 what is the total no. of females below poverty line in the above states?
Solution
Since the individual populations of C and D aren't given , the number of females below poverty line cannot be determined.
If the population of males below poverty line in state C is 6000 & state E 1000 then what is the ratio of the total population of state C& E is
Solution
Let total population of C and E be 100x and 100y respectively.
Number of males below poverty line in C = $$\frac{3}{7}\cdot14x$$ = 6x = 6000 => x=1000
Number of males below poverty line in E = $$\frac{4}{5}\cdot25y$$ = 20y=1000=>y= 50
Hence ratio = 20:1
If in state F population of females below poverty line is 16000, then what is the population of males below poverty line in that state?
Solution
Let total population of F be 100x
Population below poverty line = 20x
Females below poverty line = $$\frac{3}{5}\cdot\ 20x=12x$$ = 16000
=> x= 1333.333
Males below poverty line = $$\frac{2}{5}\cdot\ 20x=8x$$ = 10666.66
