CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

Any good method

Two squares are chosen at random on a chessboard,what is the probability that they have a side in common.Ans:1/18.Please explain

What is the probability that a rectangle selected at random from 8*8 chessboard is a square? A)0 B)17/108 C)64/1296 D)1 Dnt know the correct ans of this one.Plz explain approach

Two joggers left delhi for noida simultaneously.the frst jogger stopped 42 mins later when he was 1 km short of noidaand the other one stopped 52 mins later when he was 2 km shorr of noida. If the frst jogger jogged as many kms as the 2 nd jogger & 2 nd as many kms as d 1st ,the frst wud need 17 mins less than d 2nd.find the distance between delhi and noida. Ans 15 km...please xplain the approach

N is a set of natural numbers from 1 to n. In how many ways can we select 3 numbers so that they form an AP??

Total number of positive integral solutions of the equation 2/x + 15/v = 5. Please post detailed solution as well

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Q15

Hey Guys,

It seems IIM Lucknow has sent some register letter on Post. What can it be? I am out of station and will not be able to collect it. Please shed some light on what the post can be of.

An escalator is moving downwards with the speed of 4 steps per minute. A person takes 6 minutes less to get down if he is coming down on the moving escalator as compared to when he comes down via the stationary escalator. Another person takes 6 minutes more to get up if he is going up on the moving escalator as compared to when he goes up via the stationary escalator. If they start together from the top and the bottom respectively, they meet after 4 minutes on the moving escalator. How many steps are there in the escalator?

sol plz

The number of votes not cast for the Praja Party increased by 25% in the National General Elections over those not cast for it in the previous assembly polls,and the Praja Party lost by a majority twice as large as that by which it had won the assembly polls.If total of 2,60,000 people voted each time,how many voted for the Praja Party in the assembly elections?

Can someone throw some light on alligation with 3 things? Like what is the general solution ratio when you mix 80%, 70% and 50% alcohol to get 60% alcohol solution?

find least natural no. by which (2^10)(3^14)(5^9) must be divided so that quotient is perfect cube and remainder is zero.  

Thoughts plsss..

In a basket there are 5 mangoes , 4 apples and 3 bananas these fruits to be distributed among 3 friends by Mr. X such that no two of them have equal number of fruits . How many possible ways are there?

18 any basic or shortcut approach ??

Statement : The Aus. Cricket team scored 300 runs out of which Andrews scored 151 runs. Conclusion : 1) Andrews was tje highest run scorer of the match 2) Andrew scored 66 runs in singles only. Which of the above 2 conclusions follow ?
Statement : Without abundant rains, there will be a decline in the water level beneath the earth. This year, the rains were deficient. Conclusions : 1) The water level must have declined. 2) Millions of people were in trouble because of shortage of water. Which of the above 2 conclusions follow ?

Three distinct regular six faced unbiased dice is thrown simultaneously. what is the prob that at least one of the nos. is prime given the sum of nos. is odd? 

Someone interested to exchange IMS sectional test modules with TIME's sectional tests?

A and B play a dice game using two dice viz. 'X' and 'Y'. Die 'X' has 1, 2, 3, 4, 5 and 7 printed on its six faces whereas die 'Y' has 2, 3, 4, 5, 6 and 8 printed on its six faces. There is only one number printed on every face of the two dice. In turns each of A and B rolls both the dice simultaneously and records the product of the two numbers appearing on the top of the two dice, as their respective scores. If the sum of the scores of players A and B is an even number in a round then how many distinct scores A could have in that round?