CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

Suppose 'n' is a positive integer. when n^2 - 1 is divided by 6, it leaves a remainder 2.

Suppose 'm' is remainder when 'n' is divided by 7

How many different values can 'm' take?


pls provide solution for this question

A coin is tossed until a head is obtained, what is the probability that the head will occur on odd no. of tosses??

In how many ways can 7 chocolates of type A,6 chocolates of type B and 5 chocolates of type C be distributed among 4 children such that each child receives atleast one chocolate of each type?

Find the number of integral solutions to |X| + |Y| + |Z| = 10

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10 liter contents of a mil water solution , which contains milk and water in the ratio 7:3 , are removed and replaced with water to bring down the concentartion of milk by 10 percentage points. The amount of water(in litres) that needs to be added to the resulting solution in order to reduce the concentration of milk to 50% is?



Is there a way to restore PG to its original look ? 

2 pipes P & Q can fill a cistern in 12 and 18 hours respectively. Both the pipes were opened at 10 am and cistern was full at 6 pm. What could be the minimum possible duration for which one of the pipes must have been closed during that interval ? Please explain thru efficiency method if possible..

(30)^72^87 devided by 11. What is the remainder?? Pls give the solution in detail

3 tanks - x, y and z can fill a tank in 18,24, 36 hours respec. X is opened first & y is opened after time t . and z is opened after 2t , measured from the time x was opened. If the time taken for the tank to fill up is 9/2 hours less than double the time that it would have taken had x, y, z been opened simultaneously, what is the time in hours after which y was opened ?

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2 taps can normally fill a cylindrical tank in 16 & 48 hours resp. But a leak which can empty the tank in 24 hours is present at 3/4th of the tank's height from the base. Find the time taken to fill the tank if the taps are opened simultaneously ( in hours )

 A and B start driving from points P and Q respectively towards each other at speeds in the ratio 5 : 4. They meet somewhere between P and Q and cross each other. After reaching the opposite point, they immediately turn around and again start driving towards each other. They do this again and again. At how many distinct points they will meet? 

 

Set A represents the set of all perfect squares up to 10000. In how many ways can two distinct numbers be selected from A such that their sum will be a multiple of 10?

 

 

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Q26,27,28

The equation 3x + 11y = k, where k is a 2digit number, has exactly three solutions in which both x and y are positive integers. Which of the following is not a value of x? a. 5 b. 17 c. 25 d. 19 answer-d approach please!

Can anyone please help me with the following question, I am not great with the percentage method of time and work, so, please explain it using the simple/old way. The question is : A can do a piece of work in 10 days , B in 12 days and C can do it in 15 days. They all start the work together, but A leaves after 2 days and B leaves 3 days before the work is completed. In how many days is the work completed?

ā€˜y’ and ā€˜z’ are natural numbers and ā€˜x’ is a real number. Find the number of solutions of the equation x^2 + y^2 + z^2 = 3125, if 50 ≤ y < 52 .

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