CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

7 students decide to go on a picnic by hiring 2 identical cars..seating capacity is 5 per car..In how many ways the students be seated in the cars?

11 members, 4 male and rest female decide to go to museum and hire 3 identical cars..Not more than 4 can sit in one car and each should have atleast 1 male..How many ways can they be seated?

Can someone explain how to solve this type in DI/without using calculator: (0.72*603)/(0.71*674)

  1. In an examination, 48% students failed in Hindi and 32% students in History, 20% students failed in both the subjects. If the number of students who passed the examination was 880, how many students appeared in the examination if the examination consisted only of these two subjects?
    1) 2000 2) 2200 3) 2500 4) 1800 5) None of these

What is the least value of K for which 5x-7y=k has exactly 37 integral solutions, where x and y are integers with different signs.


how many pairs of numbers with hcf 13 and lcm 4680 exist?

3pow311Γ·125 =?

ο»ΏIs xy > yx , where x and y are positive integers?

(1) x<y

(2)y-x>2

  • statement (2) alone is sufficient but statement (1) alone .
  • both (1) and (2) together are sufficient but none of them alone is sufficient
  • both independently are sufficient
  • statement (1) alone is sufficient but statement (2) alone is not
  • both statements (1) and (2) together are not sufficient

0 voters

two natural numbers are in the ratio 15:17. if the hcf of the two numbers is 6 then what is sum of the numbers is?

2 trains A and B, traveling at speeds of 15 kmph are approaching each other on same railway track. A bird is sitting on the engine of train A. When the trains are 120 km apart, bird starts flying at 25kmph towards B. The moment it meets B, it turns back and flies towards A. It keeps this pattern until the trains collide. What is the total distance the bird will cover ? 

If the diagonals of a cyclic quadrilateral are equal then its a rhombus/square/rectangle? The quadrilateral formed by angle bisectors of a cyclic quadrilateral is a rectangle/square/parallelogram/cyclic quad. Please provide the explanation.

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Find the sum of the last 3 digits of number 23^500.

A.6

B.4

C.8

D.1

DO MENTION THE APPROACH TOO. THANKS.

A buys a book for 60..sells it to B for 70..B again sells it to A at 80..what is A's loss

In a game played by two people there were initially N match sticks kept on the table. A move in the game consists of a player removing either one or two matchsticks from the table. The one who takes the last matchstick loses. Players make moves alternately. The player who will make the first move is A. The other player is B. The min value of N (greater than 5) that ensures a win for B is?

7 different objects must be divided among 3 people.In how many ways can this be done if at least one of them gets exactly one object?

(a)2484 (b)1176 (c)729 (d)None of these Β Β 

Source :Β 

https://cat100percentile.com/2013/05/14/identical-objects-distinct-groups-no-group-empty/

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In a college, where every student follows at least one of the three activities - drama, sports or arts- 65% follow drama, 86% follow sports, and 57% follow arts. What can be the maximum and minimum percentage of students who follow all 3 activities?

Q. An acute angles isosceles triangle has a perimeter of 40cm. The range of possible lengths of each of its equal sides in cm is? 

A. (0,20)

B. (40-20 sqrt2, 40+sqrt 2)

C. (20-10 sqrt 2,10)

D. (40-20 sqrt2, 20)