CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

TIME SPEED DISTANCE :: SIMCAT QS


TSD SIMCAT QS


Please explain the approach.

X=1+1/2+1/3+1/4+1/5...1/64, What can be said about X? 


A. x<1   B. 1<x<4   c. 4<x<7   d. 7<x<10   OA- C . Approach?

If a biased coin with prob of head as 2/3 is tossed 10 times . what is the probability of getting 8 tails???

http://imgur.com/a/V877K


It took me 14 min to make the whole table and then solve the questions. Can you please tell me how can I improve the speed or shorten the calculations. 

If a train runs at 40Km/hr . It gets late by 11 minutes and if it runs at 50Km/hr , it gets late by 5 minutes . If the train runs at it's correct speed , in how much time will it complete it's journey . ( Detailed Answer will be helpful to me  )

  • 24 minutes
  • 13 minutes
  • 15 minutes
  • 21 minutes
  • 19 minutes

0 voters

In a 100 m . race . S beats R by 5 meters and R beats P by 5 meters . By what distance does S beats P. (  Detailed answer will be helpful )


A) 10 m.

B) 11m. 

C)  9m. 

D) 9.75m. 

E)  9.5m.

 there are  7men 5women and 3 children. how many groups can be formed having at least 1 men and 1 women??? 


wats the remainder of (5^22-260)/576? approach plz....

 oa is 5

P and Q are the midpoints of the diagonals of an isosceles trapezium ABCD. If length of PQ =4, units then which of the following can be the sides? 


A. 12,6,8,6   B. 16,6,8,6    C. 13,5,9,5     D.16,7,8,8

(x^p+1)(x^q+1) is a factor of (1+x+x2+x3+x4+.....x39) where x p q are positive integers . What is the maximum possible value of p+q ? OA- 30.   Approach ??

N= 5^ (1!+2!+3!+4!)  The digits of N are added to get another number, then again. This process is repeted till a single digit number is obtained. what is the single digit number? OA- 8... Approach?

(x+1)(x-3)(x+5)......(x-99)<0 has how many integer solutions?  OA- 75 . Approach?

Determine the number of solutions (x,y) of the system of equations:


x2-xy+y2=21 and  x2+2xy-8y2=0 where x and y are real numbers.  OA- 4  Approach?

There are 26 consecutive natural numbers. The average of first 11 is x. What is the average of the next 15 numbers


1. x + 13

2. x + 24

3. x + 26

4. x + 28


OA : 1

Which books to refer for cat as well as for mah mba cet? Also any guide specially for nmat?

25 persons start a job of digging over an area of 330 sq m. from the second day, each day a new person jons the group. Each person digs 1 sq m per day. Find the tme taken to complete the job (in days)?


A 9   B 10  C 11  D 12



Please explain.

Pipes P,Q and R together can empty a full tank in 6 hours. All the 3 pipes are closed simultaneously and after 2 hours , P is closed. The tank is emptied in another 6 hours. Find the time in which P can empty the tank.
A tank has a leak at its bottom which empties it at 6 litres/ minutes. It also has a filling tap which can fill can fill the tank in 6 hours. The tank takes 18 hrs to become full. Find the capacity of the tank.

 After three successive changes (two increases and one decrease, not necessarily in that particular order),the price of a watch became (154/125)of its initial price. If the percentage changes are P, 2P and 4P respectively, then what is the value of 4P? 

ABCD is rectangle divided into two rectangles AEFD and EBCF by drawing a line segment EF. AE=28 cm,EB =12 cm , and BC= 10 cm. G,H,I  lie within AEFD. J,K,L lie within EBCF . the distances from each point in one rectangle to each of the three points in other was measured. Shortest of the distances was found to be 41 cm.

1. which one is always true?

a) Dist GH < Dist JI

b) IJ is closest pair of points

c)Closest pair lie within EBCF

d) none of above


2. Which of the following can be measure of GI?(cm)

a) 0.5  b)1.5  c)2.5  d)3.5


detailed approach plz...ANS are 'A' for both