• Placement Papers
• /
• MBA
• /
• Numerical Ability
• /
• Number System

MBA Question Papers:

(#M40016111) MBA Numerical Ability question number systems, progressions Keep an EYE

N is a set of all natural numbers less than 500 which can be written as sum of two or more consecutive natural numbers.Find the maximum number of elements possible in N?

1) 250
2) 492
3) 493
4) 490

Asked In MBA (11 years ago)

Unsolved Read Solution (2)

Is this Puzzle helpful?   (1)   (1) Submit Your Solution Number System

Read Solution (2) :

Dhanesh Naresh Gujrathi  (7 years ago)

Answer - 492

Any number, having atleast one odd number as a factor, can be written as the Sum of 2 or more Consecutive natural numbers.

Eg. 9 = 2+3+4 or 4+5,
17 = 8+9, 20 = 2+3+4+5+6

Whereas, powers of 2 don't have any odd factor.

There are 7 powers of 2, which are less than 500.
2,4,8,16,32,64,128
These cannot be written as the Sum of 2 or more Consecutive natural numbers.

Hence, 499-7 = 492

Is this solution Helpfull? Yes | No (2)  

PRADEEP KUMAR V B  (6 years ago)

Thanks Dhanesh for the answer. But why haven't you considered 1 and 256 also ? Am I missing anything ?

Is this solution Helpfull? Yes | No   

Please Login to Read Solution.