If two numbers are each divided by the same divisor, the remainder are respectively 3 and 4. If the sum of two numbers be divided by the same divisor, the remainder is 2. The divisor is -

A. 9

B. 7

C. 5

D. 3

Answer: Option C

Solution(By Examveda Team)

Shortcut Method :
Divisor = 1st remainder + 2nd remainder - 3rd remainder
$$\eqalign{ & = 3 + 4 - 2{\text{ }} \cr & = 7 - 2 \cr & = 5 \cr} $$