CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

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?

Mr.x a very industrious person wants to establish his own unit .for this he needs an instant loan of rs.5,00,000 and every 5 years he requires an additional loan of rs. 1,00,000.if he had to clear all his outstandings in 20 years and he repays the principal of the first loan equally over the 20 years. find what amount he would have to pay as interest on his initial borrowing if the rate of interest is 10% p.a simple interest.       a.rs 560,00 .        b.rs.540,000  c.525,000 d.500,000

Each day on Planet M is 10 hours, each hour 60 minutes and each minute 40 seconds. The inhabitants of Planet M use 10 hour analog clock with an hour hand, a minute hand and a second hand. If one such clock shows 3 hours 42 minutes and 20 seconds in a mirror what will be the time in Planet M exactly after 5 minutes? A. 6 hours 18 minutes 20 seconds B. 6 hours 22 minutes 20 seconds C. 6 hours 23 minutes 20 seconds D. 7 hours 17 minutes 20 seconds E. 7 hours 23 minutes 20 seconds