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

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

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New post 05 Nov 2019, 04:51
1
5
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

44% (01:34) correct 56% (01:30) wrong based on 88 sessions

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Director
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If q > 1, what is the value of integer q?  [#permalink]

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New post Updated on: 05 Nov 2019, 21:37
1
(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)

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.
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Re: If q > 1, what is the value of integer q?  [#permalink]

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New post 05 Nov 2019, 10:29
2
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

Answer is (E)


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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Re: If q > 1, what is the value of integer q?  [#permalink]

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New post 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

Answer is (E)


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 :thumbup:
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If q > 1, what is the value of integer q?  [#permalink]

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New post 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

Answer is (E)


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 :thumbup:



What is the problem with 32 it can be 4*8 or 2*16 both can be distinct...plz reply
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Re: If q > 1, what is the value of integer q?  [#permalink]

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New post 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

FINAL ANSWER IS (C)

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