Quantitative Aptitude Ques 2386

Question: If N is the greatest number that will divide 1305, 4665 and 6905 leaving the same remainder, in each case. Then, sum of the digits in N is

Options:

A) 4

B) 5

C) 6

D) 8

Show Answer

Answer:

Correct Answer: A

Solution:

  • The greatest number N = HCF of $ (1305-x), $ $ (4665-x) $ and $ (6905-x), $ where x is the remainder, = HCF of $ (4665-1305), $ $ (6905-4665) $ and $ (6905-1305) $ HCF of 3360, 2240 and 5600 Again,

$ \therefore $ $ N=1120 $ Sum of digits $ =1+1+2+0=4 $