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

Question

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

(1) q is a digit that is the product of two other distinct digits.
(2) q has only one odd factor.

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firas92 · Answer

(1) q is a digit that is the product of two other distinct digits.

q can be 6 (2*3) or 8 (2*4)

1 is insufficient

(2) q has only one odd factor.

This basically means that q is a power of 2 since all integers have at least one odd factor which is 1.

q can be 2, 4, 8, 16, etc

2 is insufficient

(1)+(2) q is a digit that is the product of two other distinct digits and q has only one odd factor

From the above cases, q must be 8

(1)+(2) is sufficient

Answer is  (C)

ShankSouljaBoi · Answer

1 says two other distinct digits. Focus on other. That buys 2 and 4 from your explanation.

We are left with 8.
Hence, C

Posted from my mobile device

firas92 · Answer

That's right. Thank you

avirup2018 · Answer

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

freedom128 · Answer

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)

Posted from my mobile device

Kinshook · Answer

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

ShankSouljaBoi · Answer

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.

Krati218 · Answer

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

chetan2u · Answer

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.

Pritishd · Answer

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

bumpbot · Answer

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

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