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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 25 Dec 2016, 02:35
1
7
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A
B
C
D
E

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  85% (hard)

Question Stats:

43% (01:27) correct 57% (01:33) wrong based on 148 sessions

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

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New post 25 Dec 2016, 11:41
5
Option E)

Given: q>1, q=?

I: q belongs to {0,9}; q = m*n such that m & n are distinct digits i.e., m & n belong to {0,9}
: q = 1*2 or 1*3 or 1*4 or..or 2*1 or 2*3 or ...
Multiple values possible - Insufficient

II: q has only one odd factor
: q = 2; factors = 1, 2 one odd factor
: q = 4; factors = 1, 2, 4 one odd factor
: q = 8; factors = 1, 2, 4, 8 one odd factor
Multiple values possible - Insufficient

I + II:
: q = 2 = 1*2 [1,2] one odd factor
: q = 3 = 1*3 [1,3] two odd factors
: q = 4 = 1*4 [1,2,4] one odd factor
: q = 5 = 1*5 [1,5] two odd factors
Insufficient
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Re: If q > 1, what is the value of integer q?  [#permalink]

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New post 25 Dec 2016, 02:43
1) Not Sufficient as multiple combinations are possible.

2) Not Sufficient. Q has only one odd factor, implies the no is prime, which has only 1 as a factor apart from itself.

Combining the 2 statements + question stem, we can imply q=2.

1) q>1
2) It's a combo of 2 Distinct digits 2 and 1
3) It has only 1 odd factor I.e 1

Answer is C

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

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New post 25 Dec 2016, 03:51
If q > 1, what is the value of integer q?
Option 1: q is a digit that is the product of two other distinct digits....
q can be 12=3*4, 20=4*5... Not sufficient.

Option 2: q has only one odd factor.
Here also, there are multiple combination like option 1.. Not sufficient..

Together, We can prove this as sufficient.. Answer is C...
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Re: If q > 1, what is the value of integer q?  [#permalink]

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New post 10 Jun 2018, 10:15
Plz give me an expert's view why E is incorrect
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Re: If q > 1, what is the value of integer q?  [#permalink]

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New post 10 Jun 2018, 10:38
Krishaa12 wrote:
Plz give me an expert's view why E is incorrect


Statement 1 tells that q is a digit which is a multiple of two distinct integers ie. a single digit integer which is a multiple of 2 different integers, it can be any number from 2 to 9

Statement 2 tells that q has only 1 odd factor, again it can be any number from 2 to 9.

Combined: The only number which is a single digit and has odd factor is 6 (6=2*3 and 3 is odd factor). Answer is C.
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Re: If q > 1, what is the value of integer q?  [#permalink]

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New post 10 Jun 2018, 16:08
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*3 = 6 or 2*4=8 -NS
(2) q has only one odd factor.
1*2 =2 1*4 =4 1*200=200 ...-NS

(1)+(2) 2*4=8 (only one odd factor of digit 8 is 1)

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

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New post 11 Jun 2018, 04:50
RR88 wrote:
Option E)

Given: q>1, q=?

I: q belongs to {0,9}; q = m*n such that m & n are distinct digits i.e., m & n belong to {0,9}
: q = 1*2 or 1*3 or 1*4 or..or 2*1 or 2*3 or ...
Multiple values possible - Insufficient

II: q has only one odd factor
: q = 2; factors = 1, 2 one odd factor
: q = 4; factors = 1, 2, 4 one odd factor
: q = 8; factors = 1, 2, 4, 8 one odd factor
Multiple values possible - Insufficient

I + II:
: q = 2 = 1*2 [1,2] one odd factor
: q = 3 = 1*3 [1,3] two odd factors
: q = 4 = 1*4 [1,2,4] one odd factor
: q = 5 = 1*5 [1,5] two odd factors
Insufficient



I believe 1*2,...,1*8 cannot be considered while considering (1)+(2) since (1) states that q is a digit which is a multiple of two "other distinct" digits.

Hence, answer should be C. Only 2*4=8 is valid.

Please let me know if my reasoning is incorrect.
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Re: If q > 1, what is the value of integer q?  [#permalink]

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New post 11 Jun 2018, 05:19
]If q > 1, what is the value of integer q?

(1) q is a digit that is the product of two other distinct digits.
This tells us that q is <10 and also that q can be written as product of two other distinct digits...
The word OTHER tells us that one of these two distinct digits cannot be 1, as 1*2=2.. so here 2 is repeated
So possiblities...
A) 2*3=6
B)2*4=8

So q can be 6 or 8
Insufficient


(2) q has only one odd factor.
Can be many possibilities
Insufficient

Combined..
6 has 1,2,3,6 as factors, so TWO odd factors.. out
8 has 1,2,4,8, so only 1 odd factor..
Ans is 8
Sufficient
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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

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New post 18 Jun 2018, 00:20
Hello chetan2u,
Can you please help me to understand how q<10.

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

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New post 18 Jun 2018, 04:15
HimoGMAT wrote:
Hello chetan2u,
Can you please help me to understand how q<10.

Thanks


Hi
Statement I gives q as a digit..
And there are only 10 digits --- 0,1,2,3,4,5,6,7,8,9
Above 9, we are looking at 2-digit (10,11,56,99), 3-digit numbers(100,111,...999)
So q<10
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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

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New post 18 Jun 2018, 10:55
chetan2u wrote:
HimoGMAT wrote:
Hello chetan2u,
Can you please help me to understand how q<10.

Thanks


Hi
Statement I gives q as a digit..
And there are only 10 digits --- 0,1,2,3,4,5,6,7,8,9
Above 9, we are looking at 2-digit (10,11,56,99), 3-digit numbers(100,111,...999)
So q<10


Understood.. digit are 0-9.
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Re: If q > 1, what is the value of integer q? &nbs [#permalink] 18 Jun 2018, 10:55
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