CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

How many ordered pairs (a,b,c) exist such that their LCM is 400?

Find the number of positive integral solutions of x1 + x2 + x3 + x4 = 20, where x1 > x2. 

Approach and answer for Q. 37?

any idea about iift admit card??

 Two  persons Alex and Mac played a game of coins. In the game, a player can  pick 1, 2 or 3 coins in his turn. If a person is left with 3 coins, he  can choose to pick either 1, 2 or 3 coins and if a person is left with 2  coins, he can choose to pick either 1 or 2 coins. But if a person is  left with only one coin, he will have to pick that coin. Assume that  both the players play intelligently.  


Q.59
If Alex started the game and won the game, then which of the following statements is/are true?
(i) There were 49 coins and the person picking the last coin won the game
(ii) There were 36 coins and the person picking the last coin won the game
(iii) There were 42 coins and the person picking the last coin lost the game
(iv) There were 25 coins and the person picking the last coin lost the game  


a: i, iv

b: iv

c: i, iii

d: ii, iii


  Q.60
If Mac started the game and he lost the game, then which of the following statement(s) is/are true?
(i) Total number of coins was 44 and the person who picked the last coin won the game.
(ii) There were 53 coins and the person who picked  the last coin lost the game.
(iii) Total number of coins was 17 and the person who picked the last coin won the game. 


a: i

b: i, ii, iii

c: ii, iii

d: i, ii


 Q.61
The option of picking 2 coins could not be exercised  and the person who picked the last coin loses the game. If Alex started  the game and won it, then which of the following could not be the number  of total number of coins at the beginning of the game?  

a: 20

b: 30

c: 25

d: 48


Q.62

 If the total number of coins was 47 and the person who picked the  last coin won the game, then how many coins should Alex, who started the  game, have picked in his first turn to ensure a win for him?  


a: 2

b: 3

c: 1

d: Alex can never win

Don't know why getting confused🤔questions no 2 plz

Please Please reply ----

What are the  required scanned documents and other stuff required while filling the FMS form

Approach please?


 A rational number A/B, where A and B are co-prime, is converted into a decimal number. If both A and B are less than 100, then for how many values of B will A/B always be a terminating decimal? 

1)40    2)60   3)14     4)15


 Should I write samcats of Time or Simcat take homes of Ims ?Which one is a better choice ? 

From a group of 2 boys and 3 girls, 2 children are picked at random. What is the probability that at least one of them is a boy?

  • 1/3
  • 1/5
  • 3/5
  • 7/10

0 voters

N is an eight-digit number and S(N) denotes the sum of its digits.IF N +S(N)=100000000,find the tens digit of N??

In △ABC, D and E are two points on the sides AC and BC respectively, such that DE=18, CE=5 and ∠DEC=90. If tan∠ABC=3.6, then AC:CD is

  1. 2BC:CE
  2. BC:2CE
  3. CE:2BC
  4. 2CE:BC

A 6×6 grid is cut from 8×8 chessboard.In how many ways can we put two identical coins ,one on a black square and one on a white square ,on the grid ,such that they are not placed in the same row or in the same column ???

A and B enter a partnership business capital 5:6. At the end of 8 months A withdraws.If they receive profits in ratio of 5:9, find how long B's capital was used.

11th please

If the ratio of Compound Interest(compounded annually) to Simple Interest earned on a principal at the same rate for 3 years is 331:300. Find the rate of Interest?                                              

Can someone help out with this sum. I want to understand a faster method to solve such questions! Calculations become too tedeous otherwise

Thanks in advance!

*#SIMCAT13*

if one of the real roots of the equation 9x^2 + bx - b= 0 lies between -3 and -1 which of the following is true?

0

4.5

-4.5

-20.25

 A car started from A at 10 am and reached B at 8 pm. Another car started B at 10 am and reached A at 10pm. When did they meet? 

approach pls

Question 5 - the easiest way to solve?

 If pq, r and s are numbers chosen at random, with replacement, from the set {1, 2, 3, 4, 5, 6, 7}, in how many ways can pqr and s be chosen such that pqrs is even?