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  1. If two numbers are each divided by the same divisor, the remainders are respectively 3 and 4. If the sum of the two numbers be divided by the same divisor, the remainder is 2. The divisor is
    1. 9
    2. 7
    3. 5
    4. 3
Correct Option: C

Let two numbers are a and b and the divisor is d .
According to question ,

∴  R1 =
a
= 3
d

∴  R2 =
b
= 4
d

Now ,   R =
3 + 4
=
3 + 4
= 2
dd

⇒ 7 - 2 = 5 is divisible by d .
Required divisor = 5 { ∴ d > 4 }



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