CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

ab is a two digit number such that a x b = M^2 . Find all such numbers . ( Given : a,b,M all are integers )

Hey Puys,

Suoopse we take any decimal number and square it , then convert it into base 6 . What could be the possible unit digits?

P.S - i know the answers ,need explanation.

http://imgur.com/mCJtfTm

Answer to this question?

Right approach?

Please explain the 14th one. I am unable to get it. Also suggest the approach used. Topic :- Functions

On 1st March, Timon arrived in a new city and was looking for a place to stay. He met a landlady who offered to rent her apartment at a reasonable price but wanted him to pay the rent on a daily basis. Timon had a silver bar of 31 inches and an inch of the silver bar was exactly equal to a day's rent. He agreed to pay an inch of the silver bar towards the daily rent. Timon wanted to make minimum number of pieces of silver bar but did not want to pay any advance rent. How many pieces did he make?

In the country of Twenty there are exactly twenty cities, and there is exactly one direct road between any two cities. No two direct roads have an overlapping road segment. After the election dates are announced, candidates from their respective cities start visiting the other cities. Following are the rules that the election commission has laid down for the candidates:


 1). Each candidate must visit each of the other cities exactly once

 2). Each candidate must use only the direct roots between two cities for going from one city to another

 3).The candidate must return to his own city at the end of the campaign

 4).No direct road between two cities would be used by more than one candidate

The maximum possible number of candidates is:   

The number of common terms in the two sequences 17,21,25,....,417 and 16,21,26,....466 is


(1)78          (2) 19              (3)20                    (4)77               (5) 22

Which are some good online sources for QA difficult level problems ?

Q4 ans and method

What is the number of digits in 3^64 ?

Please explain with the approach 

Q100. ....How to solve these types of questions..?

A drawer contains a mixture of red socks and blue socks, at most 1991 in all. Two socks are selected at random from the drawer without replacement. The probability that both socks are red or both socks are blue is exactly ½. What is the largest possible number of red socks in the drawer?

All possible words are formed using all the letters in the word EQUATION exactly once and are arranged such that no two vowels and no two consonants are in alphabetical order. How many words are there?

OA 56...please explain the approach..

what is the sum of cubes of even numbers from 20 to 40(both inclusive) ?

Please Solve : The GCD of two numbers, obtained in three steps of division is 8 and the first  3 quotients are 4,6 and 4 respectively . Find the numbers?

A train travelled a certain distance at a uniform speed. Had the speed been 8 kmph more, the journey would have taken 3 hours less and had the speed been 10 kmph less, the journey would have taken 6 hours more. Find the distance travelled by the train.

Note: Kindly give the approach without using equations.


Statement -  "Either E or P must be selected".                                      Does this statement mean that both cannot be selected together or can they? 


http://imgur.com/fCueMii

in the explanation provided, it was written it was written there would be no effect of current, but since they are traveling in opposite directions, current would be favoring one and repelling other. @scrabbler your take. source- ims

Can anyone answer this?