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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
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- 9
- 7
- 5
- 3
Correct Option: C
Let two numbers are a and b and the divisor is d .
According to question ,
∴ R1 = | = 3 | |
d |
∴ R2 = | = 4 | |
d |
Now , R = | = | = 2 | ||
d | d |
⇒ 7 - 2 = 5 is divisible by d .
Required divisor = 5 { ∴ d > 4 }