CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

What should be the approach for this question?

Pl guide me here

Strange Facts about Numbers #3 4 is venerated as the first number that is a non prime and can be divided equally into halves each time, that's the reason almost everything is distributed in 4's like 4 seasons, 4 directions, 4 quadrants etc.

IF Z=1/a+1/b+1/c=3/4 
Find the TOTAL no of positive triplets (a,b,c) ?

with detail approach . Please .

| x^2 - 5x + 4 |

Silly confusion wala question:

if x>5 and -1 > y

1. (x + 4y)>1    2. x> -4y 3. None of these

Explanation!!!

A water tank of 3600 cu m capacity is being filled with water. The delivery of pump discharging the tank is 20% more than the delivery of the pump filling the same tank. As a result, 12 mins more time is needed to fill the tank to discharge it. Determine the delivery of the pump discharging the tank. 

1) 40 m3/min 2) 50m3/min 3) 60m3/min 4) 80m3/min 5) 70 m3/min

Explain. Don't have answer.

What is the Remainder when 16! Is divided by 19 ?? Wilson's theorem is used for p-1! So, will that be applicable here? If yes, how? Please..if anyone could explain in detail..thanks.

http://imgur.com/Nd1XwQd

How to solve this?

Procedure?

Please explain how to proceed in this kind of series ....times questions.

Q23

question 48??

Q13 approach??

Q21

what is the smallest integer n for which any subset of {1,2,3.....20} of size n must contain atleast two numbers that differ by 8?

options

12

13

8

16

if 200! ends with 'n' zeros when written in base 27, then n=?

options

36

33

32

27

Qs 23 and 24.I'm completely lost. Also I have solved Q25 by considering all the possibilities. Is there a shorter method for Q25?

A B C are all travelling from Hyderabad to Chennai. The ratio of their speeds is 1:2:1 respectively. C was the first to depart from Hyderabad, then A and finally B. B started at 10:00 a.m. He crossed A at 1:00 p.m. and C at 3 p.m. He then reaches Chennai and heads back towards Hyderabad immediately. He meets C at 10 p.m. When did B reach Chennai?