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.

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 a

^{6}.N is given to be the smallest such number. Hence N = 2

^{6}.

**Quantity A:**

Sqrt(N) = 2

^{3}and this has 4 factors.

**Quantity B:**

N – 2 = 2

^{6}– 2 = 64 – 2 = 62 = 2 * 31 and this has 4 factors.Therefore, the two quantities are equal.

**Choice (C).**
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