CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

  If x, y and z are the lengths of the sides of a triangle and xyz = x + y + z, which of the following cannot be the value of (x + y + z)2 − (x2 + y2 + z2)?  

http://i.imgur.com/JZdcQ6z.png

please mention approach

 In a certain water body, 50 fish were caught, tagged, and released to the same water body. A few days later, 50 fish were caught again, of which 2 were found to have been tagged on previous occasion. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the water body, what is the approximate number of fish in the water body? 

The digit sum of a number N = the remainder(N/9)

Why?


Excluding stoppages speed of car 54km/hr and including 45km/hr. how many minutes bus stop per minute.

Please help

10 digit number where 1st number gives number of 0's second number gives number of bone's and similarly it goes in. write the number?

A car is travelling at uniform speed where driver sees a milestone of two digit number .After an hour the number reverses .after one more hour the digits remain the same with a 0 inbetween. calculate average speed?

Rasm went to his cousin's house in holidays where they used to jog in the morning or play tennis in the evening . but they used to get tired and play just one sport in a day and at times they dont use to play anything. If 12 mornings they did nothing.18 evenings they did nothing and 14 days they played tennis or joged. For how  many days Rasm was at his cousin's.

 Ajay and Vijay had p coins and q coins respectively. Each of them starting with Ajay quadruple the number of coins with the other alternately. After 2N times of quadrupling the number of coins with the other where N is any positive integer greater than 10, each of them had the initial number of coins. p/q must be equal to...? 

If 2a + 3b + 6c = 66, where ab and c are positive real numbers, find the maximum value of a^6 * b^2 * c^3.

a)2^15 × 3^12

b)2^10 × 3^8 × 11^3

c)2^12 × 3^14

d)2^10 × 3^15
 

Answer is option d), pls. tell the approach to solve this?

 

Can Someone be kind enough to explain the solution for the question - 

(Don't need blunt replies with answers. We all know you are quite intelligent ;) )

How many numbers are coprime to 2304 and lies between 1000 and 2000 ? 

solution please:


Two friends – Prakash and Arpit – started running simultaneously from a point P in the same direction along a straight running track. The ratio of the speeds of Prakash and Arpit was 2 : 5 respectively. Two hours later, Arpit turned back and started running backwards at one-fifth of his original speed. He met Prakash at a distance of 10 km from the point P. What was Prakash’s speed?


 Ramlal has a safe which has five locks with different keys and can only be opened by inserting all the keys in their correct locks. Ramlal’s servant Chhotu steals the keys from Ramlal and tries to open the safe. He observes that there are five lights above the locks and whenever he inserts all the keys inside the locks, some of the lights flash. He then remembers his master saying that the flashing lights indicate how many keys are inserted inside right locks i.e., if only one light flashes, only one key is inside the right lock. Find the probability that when he inserts the keys, exactly two lights flash. 

Four identical balls are distributed among four boys. How do we find out the total no. of ways????

Need solution please:

A father wishes to distibute Rs 1400 among three sons with eldest getting the maximum amount, the middle one getting more amount than the youngest.

In how many ways can he do this provided each of his sons gets an amount in the multiple of 100?

Options are:

1) 10

2) 26

3) 14C2

4) 28


which one is better for quants?

  • Arun sharma
  • sarvesh verma
  • Nishit Sinha

0 voters

 3 different papers are to be distributed among 6 students sitting in a row. In how many ways can this be done so that no adjacent students get the same paper? (in numerical value) 

Approach please.

http://imgur.com/a/6VPXp

http://imgur.com/a/8J4NY

I know how to do it manually. finding out height of triangle PED n then taking ratio of areas.

But can this be done logically..by dividing figure into some equal parts?

A and B started from towns P and Q simultaneously towards Q and P respectively. After 6 hours, they crossed each other at town R. After that, A took 5 hours more to reach Q than B took to reach P. Find the sum of the time taken by the to reach their destinations from R. Answer: 13 hours Please provide the approach...