CAT Questions

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Let pipe A takes p min to fill

Then,

pipe B takes 3p min to fill

=> 3p - p = 32

=> p = 16 min => 3p = 48 min

Required, both pipes to fill = (48 x 16)/(48 + 16) min = 12 min.

First girl facing North
Then she rotates 100 deg clock wise => 10 deg ES
Then again she rotates 190 deg anti clock wise => for 100 deg it is North and more 90 deg means West.
Therefore, the new direction of the girl is West.

The parts of a check are :

1. Name & Address

2. Date

3. Pay to the order of

4. Written amount

5. Numeric amount box

6. For or Memo line 

7. Signature line

8. Check number

9. Account number

10. Bank name etc... 

Hence, the Memo line which describes the purpose of the check is of least important in all the parts of a check.

Given Pride is to lion as shoal is to ?.

Pride means a group of lions. Similarly, Shoal means a group of fish swimming. Here the other options have no relation with the given word in that manner.

Hence, Pride is to Lion as Shoal is to Fish.

Total ages of 80 boys = 15 x 80 = 1200 yrs.
Total age of 16 boys = 15 x 16 = 240 yrs
Total age of 25 boys = 14 x 25 = 350 yrs.
Average age of remaining boys = 1200 - (240+350) / 80 - (25+15) = 610/41 = 15.25 yrs.

we can do this by trial and error method.

Putting x = 2,we get 2²(2² - 1) = 12.
checking with other integers, the above equation always gives a value which is a multiple of 12,
So, x²(x² - 1) is always divisible by 12.

MIPS refers millions instruction per sec and is used to measure the speed of Processor.