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Question

Which of the following can not be the possible values of a if 450 (mod a)?

A
3
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B
14
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C
5
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D
9
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Solution

The correct option is B 14
Two integers a and b are congruent modulo n, if they differ by an integer multiple of n.
This can be represented as ab(mod n),which means that ab is divisible by n.

Given: 450 (mod a)
This means 45 is divisible by a.
The factors of 45 = 1, 3, 5, 9, 15, 45.
Therefore, the possible values of a = 1, 3, 5, 9, 15, 45.

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