If q > 1, what is the value of integer q?

That's right. Thank you

What is the problem with 32 it can be 4*8 or 2*16 both can be distinct...plz reply

q can be a (single) digit from 2 to 9.

1) q can be 2*3(=6) and 2*4(=8).
NOT SUFFICIENT

2) q has only one odd factor, implying that q can be 2,4,8.
NOT SUFFICIENT

1)+2)
We are confident that q is 8.
SUFFICIENT

FINAL ANSWER IS (C)

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Asked: If q > 1, what is the value of integer q?

(1) q is a digit that is the product of two other distinct digits.
q = {6,8}
NOT SUFFICIENT

(2) q has only one odd factor.
q = {2,4,8}
NOT SUFFICIENT

(1) + (2)
(1) q is a digit that is the product of two other distinct digits.
q = {6,8}
(2) q has only one odd factor.
q = {2,4,8}
q = 8
SUFFICIENT

IMO C

maybe um too late to reply.
the solution to your query lies in the stem of the question. The stem mentions digits and not numbers. And we have just 10 digits 0-9.

Statement 1: q is the product of two distinct digits....why can't it be 1*2 = 2???? and so on?

It is given q is product of two OTHER distinct digits.
So they cannot be same as q.
1*2 = 2
2 is not the product of two other distinct digits.

S1: q is a digit that is the product of two other distinct digits [Insufficient]
1. The key point to note here is that \(q\) is the product of two other distinct digits hence \(2 * 1 = 2\) is not a valid solution
2. Since this problem concerns with digits (0 to 9), there are only very few possibilities hence lets list them out i.e. \(6 = 2 * 3\) and \(8 = 4 * 2\)
3. In both cases \(q > 1\) and both are products of two other distinct digits
4. We can mark this statement as insufficient since we cannot get a definitive answer

S2: q has only one odd factor [Insufficient]
1. Digits \(8\) (1, 2, 4, 8), \(2\) (1, 2) and \(4\) (1, 2, 4) have only one odd factor \(1\)
2. We can mark this statement as insufficient since we cannot get a definitive answer

S1 + S2 [Sufficient]
1. \(2\) - Passes S2 but fails the condition given in S1
2. \(4\) - Passes S2 but fails the condition given in S1
3. \(6\) - Passes S1 but fails the condition given in S2
4. \(8\) - Passes S1 and S2 conditions

Ans. C

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