CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

Two runners run in the same direction along a circular track 3km in length. The faster runner overtakes the slower every 1 hour. Find the speed of the slower runner, if the faster one completes one length of the track 2 minutes sooner than the other.


Answer: 15 kmph


Approach please

Puys need solution for this question:


A round cake is cut with a knife 4 times vertically in such a way that it is cut to maximum number of pieces. Find the number of ways of distributing these cake pieces among three people such that everyone gets atleast 1 piece.


Answr: 3^11 -3(2^11 + 1)

 A boy, while reading a story book, realized that a certain number of consecutive leaves were missing from the book. Each leaf is numbered on either side and is considered as two pages. When he added all the page numbers that were missing, he got a sum of 180. The number of leaves that were missing from the book was ? 


answer is 4 . approach please 

The number of distinct quadratic equations of the type Ax^2 +Bx +C=0 that can be formed when A,B,C are selected from {1,2,3,4,5,6} a) 216 b) 198 c) 181 d) 120 From Byju ClassSheet (dont have the answer) Please share your approach along with the answer.. Thanks..

ABC is a triangle in which 35 times the smallest angle is equal to the 26 times largest angle.what is the measure of second largest angle?

256^874! divided by 231 .find remainder.


Q- sreedhar , and sravan together can do a work in 25 days, with the help of pavan, they completed the work in 8 days and earn 225 rs. What is the share of sravan if sreedhar alone can do the work in 75 days?

 
In triangle ABC, A = 30° and B =  90°. D is the foot of the perpendicular BD dropped on to AC and E is the foot of the perpendicular DE dropped on to AB. If DE = 3, find the perimeter of triangle ABC. 

If the equations 5x+9y+17z=a,4x+8y+12z=b and 2x+3y+8z=c have at least one solution for x,y and z and a,b and c are not equal to 0,then which of the following is true?


A. 4a-3b-3c=0

B. 3a-4b-3c=0

C. 4a-3b-4c=0

If the product of the first 100 multiples of 5 yields a particular number, then what exact power of 125 will make the number exactly divisible? Options : 34/40/48/68/80... I got the ans as 41.. But not in the options.. Need to just verify my answer with you all..

 In how many ways five chocolates can be chosen from an unlimited number of Cadbury, five star and perk?

can we use n+r-1Cr-1?
 

The sides of the regular nonagon are extended to form a star. find the measure of the internal angle at each point of the star???

A group of men decided to do a job in 8 days.But since 10 men were dropped every day the work was completed at the end of 12th day.How many men were there at the beginning.

OA : 165

Hi Puys i have created this new thread to discuss the fundamentals of diverse topics which falls in the kitty of CAT.we can ask random questions related to basics  formula's and concepts through this thread. Questions can be posted for the purpose of illustration. This task will be really helpful in strenthening our basics. Request everybody to follow the thread. cheers :)


https://www.pagalguy.com/discussions/basic-formulas-and-concepts-of-va-lr-di-qa-46000012 

  

 What is the coefficient of x3y4z5 in the expansion of (xy + yz + zx)6? .


Can someone help me with the approach . I have the solution in the book but I am not able to understand what is in the book. Thanks in advance.

There are 5 identical physics books, 4 identical chemistry books and 3 identical maths books. In how many ways can a person select

(i) At least 1 book?

(ii) At least 1 book of each subject?


Please mention the steps of the soultion.

x spends 15 % of his pocket money on food and 20 % of the remaining on a new shirt. if he was left with rs 1360. how much did the new shirt cost him?

F(x) is a fourth order polynomial with integer cofficients and with no common factor.The roots of F(x) are -2,-1,1,2.If p is a prime number gretaer than 97,the largest integer that divides F(p) for all values of p is:

OA :360

How many times does the number 5 appear in the numbers from 9- 1000? Please tell the approach.

Suppose there are N(need not be 11) number of players in a soccer game.A player can either hit a goal or misses it. There are x number of players who were biased and their probabilty of hitting a goal is 2/3 and that of unbiased is 1/2. Now coach gets to know about the conspiracy going on. So he randomly picks a player and asks him to hit a goal and gives  him two chances in which he hits in first chance and misses in other. Now what's the probability that chosen player is   unbiased? @scrabbler Please have a look