The integers 34041 and 32506, when divided by a three-digit integer n, leave the same remainder.
What is the value of n?
a. 289 b. 367 c. 453 d. 307
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Let r be the remainder. Then 34041 – r and 32506 – r are perfectly divisible by n.
Hence, their difference should also be divisible by the same.
(34041 – r) – (32506 – r) = 1535, which is divisible by only 307.
Answer : D
What is the value of n?
a. 289 b. 367 c. 453 d. 307
-----------------------------------------------------------------------------------------
Let r be the remainder. Then 34041 – r and 32506 – r are perfectly divisible by n.
Hence, their difference should also be divisible by the same.
(34041 – r) – (32506 – r) = 1535, which is divisible by only 307.
Answer : D
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