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Math Expert V
Joined: 02 Sep 2009
Posts: 62677
If q > 1, what is the value of integer q?  [#permalink]

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6 00:00

Difficulty:   75% (hard)

Question Stats: 46% (01:39) correct 54% (01:26) wrong based on 114 sessions

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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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_________________
Director  D
Joined: 16 Jan 2019
Posts: 549
Location: India
Concentration: General Management
WE: Sales (Other)
If q > 1, what is the value of integer q?  [#permalink]

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(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

Originally posted by firas92 on 05 Nov 2019, 04:59.
Last edited by firas92 on 05 Nov 2019, 21:37, edited 1 time in total.
Senior Manager  P
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Posts: 416
Location: India
Concentration: Finance, Economics
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Re: If q > 1, what is the value of integer q?  [#permalink]

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1
firas92 wrote:
(1) q is a digit that is the product of two other distinct digits.

q can be any number from 2 to 9

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

q can still be 2, 4 or 8

(1)+(2) is insufficient

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

We are left with 8.
Hence, C

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Director  D
Joined: 16 Jan 2019
Posts: 549
Location: India
Concentration: General Management
WE: Sales (Other)
Re: If q > 1, what is the value of integer q?  [#permalink]

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ShankSouljaBoi wrote:
firas92 wrote:
(1) q is a digit that is the product of two other distinct digits.

q can be any number from 2 to 9

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

q can still be 2, 4 or 8

(1)+(2) is insufficient

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

That's right. Thank you Intern  B
Joined: 05 Nov 2015
Posts: 14
If q > 1, what is the value of integer q?  [#permalink]

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firas92 wrote:
ShankSouljaBoi wrote:
firas92 wrote:
(1) q is a digit that is the product of two other distinct digits.

q can be any number from 2 to 9

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

q can still be 2, 4 or 8

(1)+(2) is insufficient

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

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
Director  V
Joined: 30 Sep 2017
Posts: 785
GMAT 1: 720 Q49 V40 GPA: 3.8
Re: If q > 1, what is the value of integer q?  [#permalink]

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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

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CEO  V
Joined: 03 Jun 2019
Posts: 2508
Location: India
GMAT 1: 690 Q50 V34 WE: Engineering (Transportation)
If q > 1, what is the value of integer q?  [#permalink]

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Bunuel wrote:
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.

Are You Up For the Challenge: 700 Level Questions

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 If q > 1, what is the value of integer q?   [#permalink] 30 Mar 2020, 06:07
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