CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

A person sells 20 candies for Rs 150 and gets a profit = C.P of 5 candies. what is profit %?

answer and approach pls

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Soln plz

There are two concentric circles of radii 7 cm and 8 cm. PQ, a diameter of the larger circle, cuts the smaller circle at S and T. A tangent drawn from Q touches the inner circle at R. What is the length of PR ?

 

How many coprime pair of factors of 144 are there ?

 

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Shouldn't the answer be just 10!? As per the solution ans is 10*(9c3*2)*6!..Please help

A number ‘p’ is such that ‘5p’ has 42 factors and ‘7p’ has 40 factors. How many factors will ‘35p’ have? a . 35 b . 48 c . 46 d . 32

A convex polygon has 20 sides. Find the maximum number of acute angles that the polygon can have.

find the remainder of 30^72^87 divided by 11.


P, Q and R start from the same place X at (a) kmph, (a+b) kmph and (a+2b) kmph respectively.   If Q starts p hours after P, how many hours after Q should R start, so that both Q and R overtake P at the same time?  please explain with the help of diagram and simplified fied way

Anoop multiplied two two-digit natural numbers. He then reversed the digits of each number and found the product of the resultant number. He found both product to be the same. If the product of tens digits of the two numbers is prime find the sum of all the possible products that anoop could have obtained.

  Q.30
Solution please:-


In a certain examination paper, there are n questions. For j = 1,2 …n, there are 2n–j students who answered j or more questions wrongly. If the total number of wrong answers is 4095, then the value of n is

a   12

b  11

c  10

d  9 

Last 2 digits of 3^32?

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Q28 please?

What is 22!/43??

 

Let A be the set of 4 digit numbers a1,a2,a3,a4 where a1>a2>a3>a4,how many value of A are possible?
a) 126 b) 84 c) 210 d) None of these

pls post the detailed sol

Let Sn denote sum of first n natural numbers.If 1<=n<=100 for how many values of n is Sn divisible by 15? 

(a) 20 

(b) 19 

(c)30 

(d)26

Please explain