CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

A pole stands vertically, inside a scalene traingular park ABC. If the angle of elevation of the top of the pole from each corner of the park is same, then in ABC the foot of pole is at the ??

1. Centroid

2. Circumcentre

3. Incentre

4. Orthocentre



Please explain it properly.

What is the sum of the digit sum of all 3 digit natural nos?

A man covered a certain distance at some speed. Had he moved 3 km per hour faster, he would have taken 40 minutes less. If he had moved 2 km per hour slower, he would have taken 40 minutes more. The distance (in km) is:

1.   20km

2.   35km

3.   40km

 
If S = - 1^3 + 2^3 - 3^3 + 4^3 - ..... + 14^3 - 15^3 + 16^3, then the value of S is ?



Ajay, Vijay and Sanjay are employed to do a piece of work for rs. 529. Ajay and Vijay together are supposed to do 19/23 of the work and vijay and sanjay together 8/23 of the work. How much should ajay be paid?

  • 245
  • 295
  • 300
  • 345

0 voters

LCM of three numbers is 150. How many sets of three natural numbers are possible ?


I don't have an OA. Please post your answer with approach.

 An insect is at the bottom of a tree that is 12 metres tall. It takes 3 minutes 20 seconds to crawl around the base of the trunk once. After this, the insect starts to crawl up the trunk of the tree in a regular spiral. It makes 4 rounds of the tree and reaches the top of the tree at a point directly above the point from which it started. If the speed of the insect is 2 cm/s, what is the time it takes to reach the top of the tree from the moment it starts walking up in a spiral? 


 (Assume that the trunk of the tree is a right circular cylinder.) 

Approach please?? 60 players from India, China and Russia are participating in a chess tournament, sum of all their ages is 2160 years. If each Indian had been 1 year, each Chinese had been 6 years and each Russian had been 7 years older, then the average age would have increased by 5 years. 1.If the number of Chinese players is more than 20, then what a the maximum number of Russian players? 2. How many Indian players are participating in the tournament?(use data from previous question of necessary)

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A fires 2 bullets from the same place at an interval of 6 minutes. But B sitting in a car approaching the place of hiring hears the 2nd fire 5 minutes 32 seconds after the 1st firing. What is the speed of car, if the speed of sound is 332 m/sec ?

How many integral values of n will satisfy the inequality

(5/3) < (2n+1)/n < (13/7)

Please explain the answer is 3 values -4, -5 , -6


A shopkeeper claims to sell his items at a loss of 10%. But instead he secretly makes a profit of 20% by using false weight. What is the effective profit percentage he gets on every 100gm he sells?

Ans : 8 %

Please Explain. TIA

A jwellery shop owner conducts his business in the following manner. Every once in a while he raise his price by a certain percentage while later he reduces his price by the same percentage. After one such updown cycle of increasing and then decreasing his price by x%, the price of a jewel decreases by rs. 100. In the nextt cycle, he increases and then decreases by (x/2)% and then sells the jewel for rs. 2376. What is the intial price?

Ans : 2500

Please Explain.

Four people are running around a circular ground in 432 km race  of 2 laps. Initially they all separated by 1/4th of the circumference  of ground and their speeds are 10m/s, 20m/s, 30m/s and 40m/s  respectively. After every hour they exchange their speeds such that A  takes B's speed, B takes D's speed, C takes A's speed and D takes C's  speed. Find the time taken by winner to finish the race.

a) 3hrs b) 4hrs 51min c) 4hrs 48 min d) None of these

S is the set of all 3-digit integers less than 1001 such that GCD of any integer in the set and 1001 is greater than 1. How many integers does S contain.. P. S. No OA..

A number N gives remainder 7 when divided by D and a remainder of 20 when divided by 2D. What will be remainder when 2N is divided by D?

Approach please.

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