If two numbers are each divided by the same divisor, the remainder are respectiv

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Question

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 -

Options:

A . 9

B . 7

C . 5

D . 3

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

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