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Question

What number am I ?
I am a two-digit even number.
I am a common multiple of 6 and 7.
I have a total of 8 factors.

A
35
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B
42
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C
36
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D
84
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Solution

The correct option is B 42
Let xy be a two digit number

Given xy have common multiple 6 and 7
xy=6×7×y×z
=42×y×z

Also given it has 8 factors.

Lets check for 42 first
42=21×2=2×21
=6×7=7×6
=14×3=3×14
=1×42=42×1
42 has 8 factors and common multiple of 6 and 7.

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