CAT Quantitative Aptitude | Quant Questions 2017- PaGaLGuY

In how many ways can 6 distinct hats be put into 4 distinct boxes such that no box is empty.

Soln

 Total number of integral solution of a^3 + b^3 + c^3 = 43655? 

Answer 0

50

49

How to solve this one..

how to find general term for following series 


=> n, n+1, n+3, n+6, n+10, n+15, .......  




Approach?

A and B are playing a game where they will call out natural number in the following way. The winner is one who will call the number ' 2 ' . This is how the game proceeds If B calls out a number X then the other person can say any number ( Y) which is at least half of X but less than X { X/2 <= Y < X }, so the numbers keeps on decreasing in this manner and finally the winner will say 2. If A has to start by calling a number between 1000 and 2000, what number he must call to ensure his victory?

Answer and Approach Please.

 

A train runs at 40 km/hr and reaches its destination 11 mins late. If it runs at 50 km/hr , it reaches the destination 5 minutes late. Then what is the correct time to complete its journey. ANS="19 mins."

I know the conventional method so please DONT post that.

Can someone solve it using relative speed? Like taking relative speed as 10 km/hr and the time difference to be 6 mins.

Frustrated from his result, a student tore up some consecutive leaves from his book. The sum of the numbers in leave torn was 678, the number of tore leaves could be (Assuming each torn leaf had number on its each side)

  • 8
  • 5
  • 12
  • 15

0 voters

Approach please.

Approach?

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Please Suggest a faster way to solve this. 

What is the sum of the series 1/1x2 + 1/2x3+ 1/3x4 + .......1/100x101?

How is it b and not c. How to decipher!

Q

Anu climbs uphill at the rate 4km/hr and downhill at 8km/hr. what is her average speed? 

1) 5.5 km/hr

2) 6 km/hr

3)5.3 km/hr

4) 6.5 km/hr 

Does ordered pair mean only positive values of coordinates?