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# If a, b, and c are integers such that 0 < a < b < c,

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Director
Joined: 12 Feb 2015
Posts: 863
If a, b, and c are integers such that 0 < a < b < c,  [#permalink]

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07 Jun 2018, 03:57
2
3
00:00

Difficulty:

25% (medium)

Question Stats:

75% (01:53) correct 25% (01:44) wrong based on 130 sessions

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If a, b, and c are integers such that 0 < a < b < c, and a is even, b is prime, and c is odd, which of the following is a possible value for abc?
A) 5
B) 12
C) 16
D) 34
E) 54

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Re: If a, b, and c are integers such that 0 < a < b < c,  [#permalink]

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07 Jun 2018, 04:06
CAMANISHPARMAR wrote:
If a, b, and c are integers such that 0 < a < b < c, and a is even, b is prime, and c is odd, which of the following is a possible value for abc?
A) 5
B) 12
C) 16
D) 34
E) 54

Let a=2(Even), b=3(Prime) & c=9(Odd)

a*b*c=2*3*9=54

and 0 < a < b < c i.e, 0<2<3<9

Ans. E
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Re: If a, b, and c are integers such that 0 < a < b < c,  [#permalink]

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07 Jun 2018, 06:28
2
CAMANISHPARMAR wrote:
If a, b, and c are integers such that 0 < a < b < c, and a is even, b is prime, and c is odd, which of the following is a possible value for abc?
A) 5
B) 12
C) 16
D) 34
E) 54

Prime-factorizing the answer options might be an easy way to solve this problem
(In case, you aren't able to come up with the numbers a,b,c s.t 0 < a < b < c

A) 5 = 1*5(Not possible)
B) 12 = 2*2*3(Not possible as a is not equal to b)
C) 16 = 2*2*2*2(Doesn't have an odd number 'c')
D) 34 = 1*2*17(Doesn't have an even number 'a')
E) 54 = 2*3*3*3(a = 2, b = 3, c = 9) (Option E)
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Re: If a, b, and c are integers such that 0 < a < b < c,  [#permalink]

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07 Jun 2018, 09:57
Top Contributor
CAMANISHPARMAR wrote:
If a, b, and c are integers such that 0 < a < b < c, and a is even, b is prime, and c is odd, which of the following is a possible value for abc?
A) 5
B) 12
C) 16
D) 34
E) 54

IMPORTANT: this is one of those questions that require us to check/test each answer choice. In these situations, always check the answer choices from E to A, because the correct answer is typically closer to the bottom than to the top.

For more on this strategy, see my article: http://www.gmatprepnow.com/articles/han ... -questions

Cheers,
Brent
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Re: If a, b, and c are integers such that 0 < a < b < c,  [#permalink]

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12 Jun 2018, 06:49
3
E
54=2*3*9, rest of answer choices do not work the same way
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Re: If a, b, and c are integers such that 0 < a < b < c,  [#permalink]

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20 May 2019, 14:46
I spent about 3 mins to figure out, is it normal?
Re: If a, b, and c are integers such that 0 < a < b < c,   [#permalink] 20 May 2019, 14:46
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