CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

We have to arrange 12 identical science books and 15 identical English books in a row  such that science books may not be together. How ways are possible? 

could someone tell me when we go for chinese remainder theorem and euler totient... both needs divisor to be non prime.. but what's the difference?

What is the remainder of 34! /71? pls give explanation in detail

What are the different approaches for this problem? Can someone also explain using a good of AP.

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