Quantitative Comparison – Number Properties

N is the smallest number that has 7 factors.
Quantity A: Number of factors that sqrt(N) has.
Quantity B: Number of factors that N-2 has.

Explanation:

A number with 7 factors will be of the form a⁶.

N is given to be the smallest such number. Hence N = 2⁶.

Quantity A:

Sqrt(N) = 2³and this has 4 factors.

Quantity B:

N – 2 = 2⁶ – 2 = 64 – 2 = 62 = 2 * 31 and this has 4 factors.

Therefore, the two quantities are equal. Choice (C).

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