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

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Math Expert
Joined: 02 Sep 2009
Posts: 61385
If q > 1, what is the value of integer q?  [#permalink]

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05 Nov 2019, 04:51
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4
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Difficulty:

75% (hard)

Question Stats:

43% (01:32) correct 57% (01:30) wrong based on 79 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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Senior Manager
Joined: 21 Jun 2017
Posts: 412
Location: India
Concentration: Finance, Economics
Schools: IIM
GMAT 1: 620 Q47 V30
GPA: 3
WE: Corporate Finance (Commercial Banking)
Re: If q > 1, what is the value of integer q?  [#permalink]

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05 Nov 2019, 10:29
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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
Joined: 16 Jan 2019
Posts: 569
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Concentration: General Management
WE: Sales (Other)
Re: If q > 1, what is the value of integer q?  [#permalink]

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05 Nov 2019, 21:38
1
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
Director
Joined: 16 Jan 2019
Posts: 569
Location: India
Concentration: General Management
WE: Sales (Other)
If q > 1, what is the value of integer q?  [#permalink]

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Updated on: 05 Nov 2019, 21:37
(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.
Intern
Joined: 05 Nov 2015
Posts: 14
If q > 1, what is the value of integer q?  [#permalink]

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03 Jan 2020, 09:11
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
Joined: 30 Sep 2017
Posts: 668
GMAT 1: 720 Q49 V40
GPA: 3.8
Re: If q > 1, what is the value of integer q?  [#permalink]

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03 Jan 2020, 13:03
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

Posted from my mobile device
Re: If q > 1, what is the value of integer q?   [#permalink] 03 Jan 2020, 13:03
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