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) = 23
and 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).