CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

No.of 4 digit palindromes divisible by 11?

 There are 10 red and black balls and there are 2 empty boxes.All the balls have to be put into the boxes so that no box remains empty after that 1 ball is to be drawn from either of two boxes.Find the maximum possible probability of the ball drawn being black.find minimum possible probability of the ball drawn being black? please send me the solution in details 

Of the two, which is better? Quantum Cat by Sarvesh Verma or Arun Sharma?

how many ways can 5 different coins be placed in 3 different boxes such that each box has atleast one coin placed?

When a number is divided by 11,7,4 the reminders are 5,6,3 respectively.What would be the remainders when the same number is divided by 4,7,11?


Can anyone provide a detailed explanation?

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p and q are two points 10 km apart anand started from p towards q and at the same time ashok started from q towards p. they crossed each other after 1 hour. after that anand reduced his speed by 2kmph and ashok increased his speed by 2 kmph. they reached their destination simultaneously. find anand's initial speed.

What would be the radius of circle with S

A sum of Rs.P is to be repaid in two equal annual installments of Rs.14520 each at 10% p.a with interest being compounded annually. Another sum of Rs.Q is to be repaid at the same rate of simple interest in two equal annual installments of Rs.14520. What is the difference between P and Q (in Rs.)? 


(How to solve this)

How many 4 digit numbers in base 10 have exactly 3 digits when expressed in both base 12 and 14?

Approach please....

Find 8^828 mod 167. Approach please.

Can any explain how time taken for second round was calculated I'm unable to understand given solution

 A train after travelling 150 km met with an accident and then proceed with 3/5 of its former speed and arrive at the destination 8h late.. Had the accident occurred 360 km further, it would have reached the destination 4h late.. What is total distance travelled by train...... Any trick... 

Hi, anybudy can explain this Geometry question.


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A cube has a total surface area of 384 square units. Two identical spheres of maximum volume are cut from the cube. What is the radius of each sphere? Please help

The hcf of 24 distinct natural numbers is P. If he sum of the numbers is 72000.what is the maximum possible value of P?? Answer with explanation please

If (30!+31!......+99!) When divided by 4^n leaves a non zero remainder,what is the least value of n ??? Answer with explanation please

A man purchased a cow and a calf for 1300 rupees.He sold the calf at a profit of 20% and the cow at a profit of 25%. In this way his total profit was 23.076%,Find the cost price of the cow?? A.1100 B.600 C.500 D.800

Find the number of 4 element subsets {1,2,3,......,20}such that the sum of 4 numbers is divisible by 4?

XYZ went to market to at a certain time when the angle between the minute hand and hour hand of the clock wall was 55 degrees. When she returned home the angle made by hour hand and the minute hand was the same. if she returned in less than 45 minutes , for how long was xyz outside her home.



any specific formula to calculte this faster??

please share the approach.

source:TIME