CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

What is the largest factor of 11! That is one bigger than a multiple of 6?

Q26,27


A starts at a point P, on a circular track of length 10 km, at 6 am and runs at a speed 3u km/hr in the clockwise direction. B starts running at a speed of 2u km/hr from Q, the point diametrically opposite to P at 6:05 am, in the opposite direction. If u is less than 30, at how many distinct points do A and B meet on the track?

please share the solution of this. OA 3

32 33 and 37 please 😃

38. Answer is 105/106?

A vessel has 300 ml of pure milk . Thirty millilitres of milk is removed and 30 ml of water is poured into the vessel (bringing the volume of mixture in the vessel back to 300 ml) . If this operation is repeated another two times , what is the percentage of milk in the vessel at the end ?

Please solve without using formula.

Please also tell the method(and not just answer option)

  '*' below is multiplication operator

Let P=(357*…99)/(246…*100) ,then

  • None of these
  • (1/15) < P < (1/10)
  • (1/10) < P < (1/5)
  • (1/5) < P < (1/3)
  • (1/3) < P < (1/2)

0 voters

!16/19 , find  remainder ? with approach 

N= 1!+2!+3!...10! What is the unit digit of N^N?

N=1!+2!+3!+...+100!, FIND LAST TWO DIGITS?

Can anyone plz tell me the approach of below one...I dun have an answer of this question.

Find unit digit 1^1! +2^2! +3^3!...+80^80!

When you are given the number of days A and B can complete the work, like if A can complete the work in 10 days and B can complete the work in 15 days, why is the earning of A and B in the inverse ratio i.e 15:10?

if (x^2a + 1 + y^2b) always end in 0 and a,b are positive integers, then the value of x,y can be

  • 29,21
  • 9,7
  • 21,29
  • 7,9

0 voters

A three digit number has digits in strictly descending order and divisible by 10. By changing places of the digits a new three digit number is constructed in such way that the new number is also divisible by 10. The difference between these two numbers is 40. Find all possible numbers?

Ques no.2 anyone?? I don't know d answer...just tell some approach if u cn think...

If a, b, c and d are four different positive integers selected from 1 to 25, then the highest possible value of  [(a+b)+(c+d)] / [(a+b)+(c-d)] ?

Let an = 111111111111111....111... , where 1 occurs 'n' number of times. then, 

1) a741 is not a prime .

2) a534 is not a prime.

3) a123 is not a prime. 

4) a77 is not a prime. 

In a list of seven integers, one integer denoted as x is unknown. The other six integers are 20,4,10,4,8 and 4. If the mean, median and mode of these 7 integers are arranged in increasing order, they form an arithmetic progression. The sum of all possible values of x is: