If the sum of ten different positive integers is 100, then what i

If the sum of ten different positive integers is 100, then what i
| If the sum of ten different positive integers is 100, then what is the greatest possible number among these 10 numbers?

A. 45

B. 91

C. 55

D. 64

Please scroll down to see the correct answer and solution guide.

Right Answer is: C

SOLUTION

  • Sum of first nine natural number = 1+2+3+4+5+6+7+8+9=45 (Since the other 9 numbers have to be minimum and distinct)
  • So the tenth number is 100-45=55.
  • Hence the greatest possible number among these 10 number is 55.
  • So, option C is the correct answer.