CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

Question 1) 8 women or 6 boys do the work of 4 men. 15 boys and 5 men can complete a wor k in 12 days. how long will 3 men, 4 women and 6 boys take to complete the job together?


Question 2) in 10 days, 6 horses and 2 mule complete a task which takes 4 horses and 4 mules 12 to complete. What is the ratio of rate of work of a horse to that of a mule?



Please confirm : Ans 1) 26.67 days and Ans 2) 2:1

 A rectangular tank 15 m x 7m x 10 m can be filled with water by pipe 'A' alone in 5 hrs and by pipe 'B' alone in 8 hrs. A pipe 'C' which is at the bottom of the tank can empty the completely filled tank in 15 hrs. Another pipe D, which is 5 m above pipe C, alone can empty the completely filled tank upto that level in 6 hrs. In how much time can the tank be filled if it is initially empty and all the pipes function simultaneously? 

A 40 digit no. Is divisible by 13.Each of its digits other than its 27th digit is 7.Find it's 27th digit.Ans 8.Plz explain approach

 Let S be the set of five-digit numbers formed by digits 1, 2, 3, 4 and 5, using each digit exactly once such that exactly two odd position are occupied by odd digits. What is the sum of the digits in the rightmost position of the numbers in S? 


(x+x^3+x^6)^10 , no of terms in equation?


 A cistern of 475 litres is completely filled using pipes A and B, with Pipe A being open for 5 more hours than pipe B. If we are to interchange the operating hours of the two pipes than pipe A would have pumped half the water as much as pipe B, then find the time for which pipe B was open. Also, given that if the two pipes were open simultaneously the tank would fill in 19 hours. 


OA - 16

The difference of any 51-digit number and its reverse is always divisible by ______.

Plzz explain

At the beginning of the year, the owner of a jewel shop raised the prices of all the jewel in his shop by x% and lowered then by x%. The price of one jewel after this up and down cycle reduced by rs 100. the owner carried out the same procedure after a month. after this second up down cycle the price of that jewel was rs 2304. find the original price of that jewel.?

summation of (n^2)*28Cn for n=1to28

Approach please.

Answers and approach please.

At the beginning of 2002, sunil had four dozen goats with him. he increased this stock by x %. at the end of 2002, he sold off y % of his stock. at the beginning of 2003 he again increased his stock by x % and and at the end of 2003, he again sold off y % of his stock. There were no other changes in the number of goats. At the end of 2003 he had five dozen goats with him after his sales which of the following always hold true ?

The last digit of the LCM of (3^2003-1) & (3^2003+1)  is ?

##cat 2016 ##


 There are 6 tasks and 6 persons.Task 1 cannot be assigned either to person 1 or to person 2,Task 2 must be assigned to either 3 or person4.Every person is to be assigned one task.  In how many ways can the assignment be done?
A.144 B.180 C.192 D.360 

##cat16##


 Find the smallet +ve integer x such that
(x+1)+(x+2)+(x+3)+(x+4)+......+(x+2016) is a perfect square. 

one fill pipe A takes  3 more mins to fill the cistern than 2 fill pipes A and B opened together to fill

it. Second fill pipe B takes 21.33 minutes more to fill

the cistern than 2 fill pipes A and B opened together

to fill it. When will be the cistern full if both pipes are

opened simultaneously?  approach pls

http://i.imgur.com/wXRzk7I.jpg


can someone share me the explanation of this question ? IMS Mock 9 . didn't understand the solution

Value of the expression (x2 – x + 1)÷ (x - 1) cannot

lie between

a. 1, 3 b. -1, -3

c. 1, -3 d. -1, 2   pls explain 

ans is d

If f(x) is a quadratic polynomial, such that f(5) = 75

and f(-5) = 55, and f(p) = f(q) = 0, then find p*q,

given that the value of constant term in the

polynomial is 10.

a. 2 b. -3

c. 5 d. Cannot be Determined 

ans c pls explain

Which all institutes should I apply for in snap form??