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GRE Practice Question-If b= 0 and a/b >0
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29 Apr 2015, 12:53
29 Apr 2015, 12:53
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Question Stats:
62% (00:32) correct
37% (00:44) wrong based on 124 sessions
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If b ≠ 0 and \(\frac{a}{b}\) >0, then which of the following must be true?
A. a > b
B. b > 0
C. ab > 0
A. a > b
B. b > 0
C. ab > 0
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Joined: 10 Apr 2015
Posts: 6218
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Re: GRE Practice Question-If b= 0 and a/b >0
[#permalink]
27 Mar 2019, 12:55
27 Mar 2019, 12:55
1
Osira wrote:
If b ≠ 0 and \(\frac{a}{b}\) > 0, then which of the following must be true?
A. a > b
B. b > 0
C. ab > 0
A. a > b
B. b > 0
C. ab > 0
The question asks "What MUST be true?"
So, if we can find a case in which a statement is NOT true, we can eliminate it.
A. a > b
We're told that a/b > 0
So, it COULD be the case that a = 1 and b = 2 (since 1/2 > 0)
If a = 1 and b = 2, then the statement that a > b is NOT TRUE
ELIMINATE A
B. b > 0
We're told that a/b > 0
So, it COULD be the case that a = -3 and b = -2 (since -3/-2 > 0)
If a = -3 and b = -2, then the statement that b > 0 is NOT TRUE
ELIMINATE B
C. ab > 0
We're told that a/b > 0, which means EITHER a and b are both positive OR a and b are both negative
If a and b are both positive, then ab > 0
If a and b are both negative, then ab > 0
In BOTH possible cases ab > 0, which means statement C MUST be true.
Answer: C
Cheers,
Brent
Re: GRE Practice Question-If b= 0 and a/b >0
[#permalink]
04 Jul 2019, 11:45
04 Jul 2019, 11:45
1
GreenlightTestPrep wrote:
Osira wrote:
If b ≠ 0 and \(\frac{a}{b}\) > 0, then which of the following must be true?
A. a > b
B. b > 0
C. ab > 0
A. a > b
B. b > 0
C. ab > 0
The question asks "What MUST be true?"
So, if we can find a case in which a statement is NOT true, we can eliminate it.
A. a > b
We're told that a/b > 0
So, it COULD be the case that a = 1 and b = 2 (since 1/2 > 0)
If a = 1 and b = 2, then the statement that a > b is NOT TRUE
ELIMINATE A
B. b > a
We're told that a/b > 0
So, it COULD be the case that a = 3 and b = 2 (since 3/2 > 0)
If a = 3 and b = 2, then the statement that b > a is NOT TRUE
ELIMINATE B
C. ab > 0
We're told that a/b > 0, which means EITHER a and b are both positive OR a and b are both negative
If a and b are both positive, then ab > 0
If a and b are both negative, then ab > 0
In BOTH possible cases ab > 0, which means statement C MUST be true.
Answer: C
Cheers,
Brent
Actually !!!!!
B. b > 0, not b > a, that you get to solve.
