CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

1 and 8 are first 2 natural numbers for which 1+2+3+..+N is a perfect square. Which number is the 4th such number?

3 taps A,B and C can fill a tank in 18, 24 and 36 hours respectively. A is opened first and B is opened after time "t" and C is opened after time 2t, measured from the time A was opened. If the time taken for the tank to fill up is 9/2 hrs less than double the time it would have taken had A,B and C been opened simultaneously. What is the time in hrs after which B was opened. A) 4 B) 19/4 C)21/4 D) 9/2

Find the remainder when 17^17 is divided by 64.


appu and gappu both start running around a circular track in the same direction each of them going at a constant speed . appu is on bicycle and gappu is on foot. appu goes all way around the track and catches up with gappu. the moment he meets gappu he turns his hesd around and heads back towards the starting point while gappu keeps going on his path . when appu reaches the starting point he again meets gappu who is just finishing his first round. ratio of appu and gappu speed is:

  • 2:1
  • 1+1.414:1
  • 3:1
  • 4 -1.414:1
  • none of these

0 voters

What do you mean by third proportional..?

Q27...?

which test series shld i join for cat 2016 ( my last and serious attempt).

  • IMS
  • CL
  • Time

0 voters

The germination of seeds is estimated by a probability of 0.8. What is the probability that out of five seeds sown at least four will germinate?

  • 0.73728
  • 0.08192
  • None of these
  • 0.4096

0 voters

A man travels from a to b at a speed of 30 kmph.at what speed should he return so that his average speed round the trip is 60kmph?...is it a caase of simple average,if weighted average please lemme know the approach

If david travels 8/9th of his usual speed he misses the train by 10 minutes. but if he travels 5/4th of his usual speed, he reaches the station 5 minutes before the departure of the train. what is the approximate normal time taken by david to reach the railway station?

I'm doing like this, please tell me whether i did right or wrng..!

Let actual time = x

9x/8 - 4x/5 = 15/60

X=10/13 hrs

For questions no 2 I'm getting answers 2400 and 600. Can anyone provide the approach to solve this.

If (tana)^2 = 2 (tana)^2 + 1,

then find the value of cos 2a + (sina)^2

A,B together work for 10 days, B,C work together for 12 days, A Left after 3 days, B left after 9 days, C left after 14 days. Time taken for A,C together to finish the work?

two taps can fill cylindrical tank in 16 hrs and 24 hrs resp.but a leak can empty the tank in 24 hrs is present at 3/4 th of the tanks height from base.what is the time taken to fill the tank if taps are opened simultaneosly??

Q77?

Q18...?

Q79...?

Q 10. what's the best approach?

Which is larger 5^7 or 7^5 ?

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