Question. 1

Students in a college have to choose at least two subjects from chemistry, mathematics and physics. The number of students choosing all three subjects is 18, choosing mathematics as one of their subjects is 23 and choosing physics as one of their subjects is 25. The smallest possible number of students who could choose chemistry as one of their subjects is

(a) (b) (c) (d)
Ask your doubt on Facebook Take Screenshot and share it on facebook
Ask your doubt on Telegram Take Screenshot and share it on telegram

Question. 2

A club has 256 members of whom 144 can play football, 123 can play tennis, and 132 can play cricket. Moreover, 58 members can play both football and tennis, 25 can play both cricket and tennis, while 63 can play both football and cricket. If every member can play at least one game, then the number of members who can play only tennis is

(a) (b) (c) (d)
Ask your doubt on Facebook Take Screenshot and share it on facebook
Ask your doubt on Telegram Take Screenshot and share it on telegram

Question. 3

If A = {62n - 35n - 1: n = 1,2,3,...} and B = {35(n-1) : n = 1,2,3,...} then which of the following is true?

(a) (b) (c) (d)
Ask your doubt on Facebook Take Screenshot and share it on facebook
Ask your doubt on Telegram Take Screenshot and share it on telegram

Question. 4

If A = {62n - 35n - 1: n = 1,2,3,...} and B = {35(n-1) : n = 1,2,3,...} then which of the following is true?

(a) (b) (c) (d)
Ask your doubt on Facebook Take Screenshot and share it on facebook
Ask your doubt on Telegram Take Screenshot and share it on telegram

Question. 5

For two sets A and B, let AΔB denote the set of elements which belong to A or B but not both. If P = {1,2,3,4}, Q = {2,3,5,6,}, R = {1,3,7,8,9}, S = {2,4,9,10}, then the number of elements in (PΔQ)Δ(RΔS) is

(a) (b) (c) (d)
Ask your doubt on Facebook Take Screenshot and share it on facebook
Ask your doubt on Telegram Take Screenshot and share it on telegram

Question. 6

If among 200 students, 105 like pizza and 134 like burger, then the number of students who like only burger can possibly be

(a) (b) (c) (d)
Ask your doubt on Facebook Take Screenshot and share it on facebook
Ask your doubt on Telegram Take Screenshot and share it on telegram

Question. 7

Each of 74 students in a class studies at least one of the three subjects H, E and P. Ten students study all three subjects, while twenty study H and E, but not P. Every student who studies P also studies H or E or both. If the number of students studying H equals that studying E, then the number of students studying H is

Ask your doubt on Facebook Take Screenshot and share it on facebook
Ask your doubt on Telegram Take Screenshot and share it on telegram

Comprehension. 1

Answer the questions on the basis os the information given below.

Mr. Suzuki, a car dealer, sold cars of only two brands, A and B, in the previous year. This year, he introduced a new brand, C. The number of cars of cars of brand A and brand B sold in the previous year were in the ratio 3 :2, and the ratio of the number of cars sold in the previous year to that sold in this year is 2 : 3 for brand A and 2 : 5 for brand B. Further, the number of cars of brand C sold this year forms 81 % of the total number of cars sold this year.

Question. 1

If total of 380 cars were sold this year, and the sales of C this year were nil, instead of 81% of total sales, then how many cars of brand A were sold in the previous year?

(a) (b) (c) (d)
Ask your doubt on Facebook Take Screenshot and share it on facebook
Ask your doubt on Telegram Take Screenshot and share it on telegram

Question. 2

In the next year, Mr. Suzuki wants to increase the total sales by 80%, compared to the total sales this year, by keeping the sales of each of A, B and C at the same level as that in this year and introducing a new brand D. By what percent will the number of cars of brand D (to be sold next year) be more than the total number of cars sold last year?

(a) (b) (c) (d)
Ask your doubt on Facebook Take Screenshot and share it on facebook
Ask your doubt on Telegram Take Screenshot and share it on telegram

Question. 3

What is the percentage increase in the total number of cars sold this year when compared to the total number of cars sold in the previous year?

(a) (b) (c) (d)
Ask your doubt on Facebook Take Screenshot and share it on facebook
Ask your doubt on Telegram Take Screenshot and share it on telegram

Question. 4

Find the number of cars of brand C sold this year, given that a total of 24 cars of brand A were sold in the previous year.

(a) (b) (c) (d)
Ask your doubt on Facebook Take Screenshot and share it on facebook
Ask your doubt on Telegram Take Screenshot and share it on telegram

Comprehension. 2

Answer the questions on the basis of the information given below.

A robot is designed to move in a peculiar way and it can be set in motion by a microprocessor program. The program can be initiated by assigning a positive rational value to its variable n. The program directs the robot to move in the following way. As soon as the program is started, the robot starts from the point O, moves 2n metres northward and changes its direction by n° to the right. It then moves 2n metres forward and again changes its direction by n° to the right and continues in this manner till it reaches the starting point O, or till it covers a total distance of 100 m, whichever happens first, and then it stop.

Question. 1

For how many value of n in the intervals [1, 60] does the robot cover less than 1000 m, before it stops?

(a) (b) (c) (d)
Ask your doubt on Facebook Take Screenshot and share it on facebook
Ask your doubt on Telegram Take Screenshot and share it on telegram

Question. 2

I assigned a value for n and started the program. If the robot finally came back to O and stopped, what is the total distance that it has covered

(a) (b) (c) (d)
Ask your doubt on Facebook Take Screenshot and share it on facebook
Ask your doubt on Telegram Take Screenshot and share it on telegram

Question. 8

(a) (b) (c) (d)
Ask your doubt on Facebook Take Screenshot and share it on facebook
Ask your doubt on Telegram Take Screenshot and share it on telegram

Question. 9

(a) (b) (c) (d)
Ask your doubt on Facebook Take Screenshot and share it on facebook
Ask your doubt on Telegram Take Screenshot and share it on telegram

Comprehension. 3

 Answer the questions on the basis of the information given below.

The following table provides partial details about the comparison of the increase in the number of applicants among four streams in education viz. Engineering, Medical Science, Commerce and Arts in the year 2008 as compared to the year 2007. The increase in the number of applicants in the Commerce stream in 2008 as compared to 2007 is 70000 and the average number of applicants in the four streams in 2008 is 400000. Assume that these are the only four streams in the education system. In the given table, the number 20000 under the title ‘Commerce’ means that the increase in the number of applicants in the Commerce stream in 2008 as compared to the year 2007 is 20000 less than the corresponding increase in the Engineering stream. All the other data in the table should be interpreted similarly.

Question. 1

The total increase in the number of applicants in the Arts stream in 2008 as compared to 2007 as a percentage (approximate) of the total number of applicants in the four given streams in 2007 is

(a) (b) (c) (d)
Ask your doubt on Facebook Take Screenshot and share it on facebook
Ask your doubt on Telegram Take Screenshot and share it on telegram

Question. 2

The total number of applicants in the four given streams in 2007 was

(a) (b) (c) (d)
Ask your doubt on Facebook Take Screenshot and share it on facebook
Ask your doubt on Telegram Take Screenshot and share it on telegram

Question. 3

Which of the following is not true?

(a) (b) (c) (d)
Ask your doubt on Facebook Take Screenshot and share it on facebook
Ask your doubt on Telegram Take Screenshot and share it on telegram

Comprehension. 4

Each of the questions is followed by two statements I and II. Give answer

(a) if the question can be answered by using one of the statements alone, but cannot be answered using the other statement alone.

(b) if the question can be answered by either statement alone.

(c) if the question can be answered by using both statements together, but cannot be answered using either statement alone.

(d) if the question cannot be answered even by using both the statements together. 

Question. 1

Geetanjali Express, which is 250 metre long when moving from Howrah to Tatanagar crosses Subarnarekha bridge in 30 seconds. What is the speed of Geetanjali Express?

Statement I: Bombay Mail, which runs at 60 km/hour crosses the Subarnarekha bridge in 30 seconds.

Statement II: Bombay Mail when running at 90 km/hour crosses a lamp post in 10 seconds

(a) (b) (c) (d)
Ask your doubt on Facebook Take Screenshot and share it on facebook
Ask your doubt on Telegram Take Screenshot and share it on telegram

Question. 2

A line graph on a graph sheet shows the revenue for each year from 1990 through 1998 by points and joins the successive points by straight line segments. The point for revenue of 1990 is labeled A, that for 1991 as B, and that for 1992 as C. What is the ratio of growth in revenue between 1991-92 and 1990-91?

Statement I: The angle between AB and X-axis when measured with a protractor is 40 degrees, and the angle between CB and x-axis is 80 degrees.

Statement II: The scale of y-axis is 1 cm = ` 1000.

(a) (b) (c) (d)
Ask your doubt on Facebook Take Screenshot and share it on facebook
Ask your doubt on Telegram Take Screenshot and share it on telegram

Question. 10

For constructing the working class consumer price index number of a particular town, the following weights corresponding to different group of items were assigned : Food-55, Fuel-15, Clothing -10, Rent -8 and Miscellaneous-12. It is known that the rise in food prices is double that of fuel and the rise in miscellaneous group prices is double that of rent. In October 2006, the increased D.A. by a factory of that town by 182% fully compensated for the rise in prices of food and rent but did not compensate for anything else. Another factory of the same locality increased D.A. by 46.5%, which compensated for the rise in fuel and miscellaneous groups. Which is the correct combination of the rise in prices of food, fuel, rent and miscellaneous groups?

(a) (b) (c) (d)
Ask your doubt on Facebook Take Screenshot and share it on facebook
Ask your doubt on Telegram Take Screenshot and share it on telegram

Question. 11

In a factory making radioactive substances, it was considered that the three cubes of uranium together are hazardous. So the company authorities decided to have the stack of uranium interspersed with lead cubes. But there is a new worker in a company who does not know the rule. So he arranges the uranium stack the way he wanted. What is the number of hazardous combinations of uranium in a stack of 5?

(a) (b) (c) (d)
Ask your doubt on Facebook Take Screenshot and share it on facebook
Ask your doubt on Telegram Take Screenshot and share it on telegram

Question. 12

(a) (b) (c) (d)
Ask your doubt on Facebook Take Screenshot and share it on facebook
Ask your doubt on Telegram Take Screenshot and share it on telegram

Question. 13

In a certain zoo, there are 42 animals in one sector, 34 in the second sector and 20 in the third sector. Out of this, 24 graze in sector one and also in sector two. 10 graze in sector two and sector three, 12 graze in sector one and sector three. These figures also include four animals grazing in all the three sectors are now transported to another zoo, find the total number of animals.

(a) (b) (c) (d)
Ask your doubt on Facebook Take Screenshot and share it on facebook
Ask your doubt on Telegram Take Screenshot and share it on telegram

Question. 14

A survey was conducted of 100 people to find out whether they had read recent issues of Golmal, a monthly magazine. The summarized information regarding readership in 3 months is given below:

Only September : 18;

September but not August: 23;

September and July : 8;

September : 28;

July : 48;

July and August : 10;

None of the three months : 24

What is the number of surveyed people who have read exactly two consecutive issues (out of the three)?

(a) (b) (c) (d)
Ask your doubt on Facebook Take Screenshot and share it on facebook
Ask your doubt on Telegram Take Screenshot and share it on telegram

Question. 15

Consider the sets Tn = {n, n + 1, n + 2, n + 3, n + 4}, where n = 1, 2, 3, ............... , 96. How many of these sets contains 6 or any integral multiple thereof (i.e. any one of the numbers 6, 12, 18,............)?

(a) (b) (c) (d)
Ask your doubt on Facebook Take Screenshot and share it on facebook
Ask your doubt on Telegram Take Screenshot and share it on telegram

Question. 16

70 per cent of the employees in a multinational corporation have VCD players, 75 per cent have microwave ovens, 80 per cent have ACs and 85 per cent have washing machines. At least what percentage of employees has all four gadgets?

(a) (b) (c) (d)
Ask your doubt on Facebook Take Screenshot and share it on facebook
Ask your doubt on Telegram Take Screenshot and share it on telegram

Question. 17

A survey on a sample of 25 new cars being sold at a local auto dealer was conducted to see which of the three popular options — air-conditioning, radio and power windows - were already installed. The survey found

15 had air conditioning

2 had air conditioning and power windows but no radios

12 had radio

6 had air-conditioning and radio but no power windows

11 had power windows

4 had radio and power windows

3 had all three options.

What is the number of cars that had none of the options?

(a) (b) (c) (d)
Ask your doubt on Facebook Take Screenshot and share it on facebook
Ask your doubt on Telegram Take Screenshot and share it on telegram

Question. 18

(a) (b) (c) (d)
Ask your doubt on Facebook Take Screenshot and share it on facebook
Ask your doubt on Telegram Take Screenshot and share it on telegram

Question. 19

(a) (b) (c) (d)
Ask your doubt on Facebook Take Screenshot and share it on facebook
Ask your doubt on Telegram Take Screenshot and share it on telegram

Question. 20

What is the smallest positive integer n such that gn = e?

(a) (b) (c) (d)
Ask your doubt on Facebook Take Screenshot and share it on facebook
Ask your doubt on Telegram Take Screenshot and share it on telegram

Question. 21

Let T be the set of integers { 3, 11, 19, 27 .....451, 459, 467} and S be a subset of T such that the sum of no two elements of S is 470. The maximum possible number of elements in S is

(a) (b) (c) (d)
Ask your doubt on Facebook Take Screenshot and share it on facebook
Ask your doubt on Telegram Take Screenshot and share it on telegram

Question. 22

 If Z = (P.D) ∪ M, then

(a) (b) (c) (d)
Ask your doubt on Facebook Take Screenshot and share it on facebook
Ask your doubt on Telegram Take Screenshot and share it on telegram

Question. 23

If P.A = Φ and P ∪ A = D, then which of the following is true?

(a) (b) (c) (d)
Ask your doubt on Facebook Take Screenshot and share it on facebook
Ask your doubt on Telegram Take Screenshot and share it on telegram

Question. 24

If Y = F.(D.V), is not a null set, it implies that :

(a) (b) (c) (d)
Ask your doubt on Facebook Take Screenshot and share it on facebook
Ask your doubt on Telegram Take Screenshot and share it on telegram

Question. 25

Given that X = M.D is such that X = D, which of the following is true?

(a) (b) (c) (d)
Ask your doubt on Facebook Take Screenshot and share it on facebook
Ask your doubt on Telegram Take Screenshot and share it on telegram

Question. 26

Let ‘f’ be a function from set A to set B for a set, XCB define f–1 (X) = {X ∈ A : f(X) ∈ X}  Then which of the following is necessarily true for a subset U of X?

(a) (b) (c) (d)
Ask your doubt on Facebook Take Screenshot and share it on facebook
Ask your doubt on Telegram Take Screenshot and share it on telegram

Question. 27

(a) (b) (c) (d)
Ask your doubt on Facebook Take Screenshot and share it on facebook
Ask your doubt on Telegram Take Screenshot and share it on telegram

Question. 28

In a political survey, 78% of the politicians favour at least one proposal. 50% of them are in favour of proposal A, 30% are in favour of proposal B and 20% are in favour of proposal C. 5% are in favour of all three proposals. What is the percentage of people favouring more than one proposal?

(a) (b) (c) (d)
Ask your doubt on Facebook Take Screenshot and share it on facebook
Ask your doubt on Telegram Take Screenshot and share it on telegram

Question. 29

A survey of 200 people in a community who watched at least one of the three channels — BBC, CNN and DD — showed that 80% of the people watched DD, 22% watched BBC, and 15% watched CNN.

Referring to the previous question, how many per cent of the people watched all the three channels?

(a) (b) (c) (d)
Ask your doubt on Facebook Take Screenshot and share it on facebook
Ask your doubt on Telegram Take Screenshot and share it on telegram

Question. 30

A survey of 200 people in a community who watched at least one of the three channels — BBC, CNN and DD — showed that 80% of the people watched DD, 22% watched BBC, and 15% watched CNN.

If 5% of the people watched DD and CNN, 10% watched DD and BBC, then what per cent of the people watched BBC and CNN only?

(a) (b) (c) (d)
Ask your doubt on Facebook Take Screenshot and share it on facebook
Ask your doubt on Telegram Take Screenshot and share it on telegram

Question. 31

A survey of 200 people in a community who watched at least one of the three channels — BBC, CNN and DD — showed that 80% of the people watched DD, 22% watched BBC, and 15% watched CNN.

What is the maximum percentage of people who can watch all the three channels?

(a) (b) (c) (d)
Ask your doubt on Facebook Take Screenshot and share it on facebook
Ask your doubt on Telegram Take Screenshot and share it on telegram

Question. 32

In a locality, two-thirds of the people have cable-TV, one-fifth have VCR, and one-tenth have both, what is the fraction of people having either cable -TV or VCR ?

(a) (b) (c) (d)
Ask your doubt on Facebook Take Screenshot and share it on facebook
Ask your doubt on Telegram Take Screenshot and share it on telegram

Question. 33

There are three different cable channels namely Ahead, Luck and Bang. In a survey it was found that 85% of viewers respond to Bang, 20 % to Luck, and 30% to Ahead. 20% of viewers respond to exactly two channels and 5% to none.

Assuming 20% respond to Ahead and Bang and 16% respond to Bang and Luck, what is the percentage of viewers who watch only Luck ?

(a) (b) (c) (d)
Ask your doubt on Facebook Take Screenshot and share it on facebook
Ask your doubt on Telegram Take Screenshot and share it on telegram

Question. 34

There are three different cable channels namely Ahead, Luck and Bang. In a survey it was found that 85% of viewers respond to Bang, 20 % to Luck, and 30% to Ahead. 20% of viewers respond to exactly two channels and 5% to none.

What percentage of the viewers responded to all three ?

(a) (b) (c) (d)
Ask your doubt on Facebook Take Screenshot and share it on facebook
Ask your doubt on Telegram Take Screenshot and share it on telegram

Question. 35

Ghoshbabu is staying at Ghosh Housing Society, Aghosh Colony, Dighoshpur, Calcutta. In Ghosh Housing Society 6 persons read daily Ganashakti and 4 read Anand Bazar Patrika; In his colony there is no person who reads both. Total number of persons who read these two newspapers in Aghosh Colony and Dighoshpur is 52 and 200 respectively. Number of persons who read Ganashakti in Aghosh Colony and Dighoshpur is 33 and 121 respectively; while the persons who read Anand Bazar Patrika in Aghosh Colony and Dighoshpur are 32 and 117 respectively.

Number of persons in Aghosh Colony who read both of these newspapers is

(a) (b) (c) (d)
Ask your doubt on Facebook Take Screenshot and share it on facebook
Ask your doubt on Telegram Take Screenshot and share it on telegram

Question. 36

Ghoshbabu is staying at Ghosh Housing Society, Aghosh Colony, Dighoshpur, Calcutta. In Ghosh Housing Society 6 persons read daily Ganashakti and 4 read Anand Bazar Patrika; In his colony there is no person who reads both. Total number of persons who read these two newspapers in Aghosh Colony and Dighoshpur is 52 and 200 respectively. Number of persons who read Ganashakti in Aghosh Colony and Dighoshpur is 33 and 121 respectively; while the persons who read Anand Bazar Patrika in Aghosh Colony and Dighoshpur are 32 and 117 respectively.

Number of persons in Dighoshpur who read only Ganashakti is

(a) (b) (c) (d)
Ask your doubt on Facebook Take Screenshot and share it on facebook
Ask your doubt on Telegram Take Screenshot and share it on telegram

Question. 37

Ghoshbabu is staying at Ghosh Housing Society, Aghosh Colony, Dighoshpur, Calcutta. In Ghosh Housing Society 6 persons read daily Ganashakti and 4 read Anand Bazar Patrika; In his colony there is no person who reads both. Total number of persons who read these two newspapers in Aghosh Colony and Dighoshpur is 52 and 200 respectively. Number of persons who read Ganashakti in Aghosh Colony and Dighoshpur is 33 and 121 respectively; while the persons who read Anand Bazar Patrika in Aghosh Colony and Dighoshpur are 32 and 117 respectively.

Number of persons in Aghosh Colony who read only one newspaper

(a) (b) (c) (d)
Ask your doubt on Facebook Take Screenshot and share it on facebook
Ask your doubt on Telegram Take Screenshot and share it on telegram