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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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