CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

 1.  The integers 1, 2……, 40 are written on a black board. The following operation is then repeated 39 times: In each repetition, any two numbers, say aand b, currently on the blackboard are erased and a new number a + b - 1 is written. What will be the number left on the board at the end?   (1)  820  (2)  821  (3)  781  (4)  819  (5)  780  

 http://imgur.com/a/u0mrN

Can someone provide the solution to the query in the link.Ans is 3 

http://imgur.com/a/z57kV

Ans is 72. 

solution plz....

http://imgur.com/1TW4JKP


Approach

 Assume that the moon takes exactly 30 days to complete the cycle and also assume that it rises in the East exactly at 6.48 p.m. on the first day. On the fourth day, at what time will it rise? 

Ans:9:12p.m

Ramesh and Suresh are told to select numbers for a game. Ramesh selects integers from 1 to 300 one by one. Suresh always selects a number which is the product of the digits of the number selected by Ramesh. Now Ramesh is told to multiply his number by 20 and divide the result by 9. Suresh is told to add 348 to his number. For how many numbers selected by Ramesh, will the calculations give the same values?


Sachin has 2leather ,3green and 2 black balls. He picks up 2 balls at random . Whats is the probability that both the balls were black balls ? Pls elaborate the approach

Amol food processing company received fresh consignment of cherries from Himachal cherry corporation containing 'a' kgs. of cherries. After analysis these cherries were found to contain 99% water. After 15 days, sample of cherries from the same lot found to contain 98% water. What must be the weight of the same (original) lot of cherries at that time?


procedure

Approach please?

Pipe A takes 18mins to fill the tank and pipe B takes 12 mins to fill the tank. There is another pipe C which is an outlet pipe.A girl opens A and B to fill the tank and comes back precisely after the time at which the tank should have been full . But when she comes back she notices that she forgot to close pipe C . She Immediately closes pipe C and exactly 3mins after that the tank becomes full. For what time was the tank A kept open ? Pls elaborate the approach

Remainder when 79^(97^79) is divided by 36^(63^36)..

no OA

it is given it must be odd

approach please


Distance - 4000, find the initial speed . If speed increases 5m/s it takes 4sec less.? Approach pls

http://imgur.com/a/YqfrR

Can someone explain the approach for the problem in the link.

Ans

a) 19

b) 12 sq units

 If all the binary numbers from 100 to 1000000 are written, find the total number of 1’s used in these numbers? 

A number is said to be zeroth number if sum of the squares of its digits end in zero. How many 2 digit numbers are there ? Answer is 17

Approach please

Que 69

The area of the region described by 1 ≤ |x - 5| ≤ 3 and 1 ≤ |y - 5| ≤ 3 is


apprach please!

9^19+6 when divided by 8 gives a remainder of

  • 2
  • 7
  • 3
    3
  • 5

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