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Is a > b? 1) a*b < 1 2) a/b < 1 Source: www.GMATinsight.com

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Is a > b? 1) a*b < 1 2) a/b < 1 Source: www.GMATinsight.com  [#permalink]

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New post 02 Feb 2019, 05:30
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

39% (01:44) correct 61% (00:54) wrong based on 30 sessions

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Is a > b?

1) a*b < 1
2) a/b < 1

Source: www.GMATinsight.com

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Is a > b? 1) a*b < 1 2) a/b < 1 Source: www.GMATinsight.com  [#permalink]

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New post 02 Feb 2019, 05:39
I would opt for E.

According to statement one, a=2 b=-1 would work, a=-1 b=2 would work as well.

According to statement two, a=2 b=-1 would work, a=-1 b=2 would work again.

Thus we are still uncertain even when combining our given statements, hence E.
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Re: Is a > b? 1) a*b < 1 2) a/b < 1 Source: www.GMATinsight.com  [#permalink]

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New post 02 Feb 2019, 05:51
1
GMATinsight wrote:
Is a > b?

1) a*b < 1
2) a/b < 1

Source: http://www.GMATinsight.com


IMO E

Question is a> b ??

from 1) 1 > a*b

Now a can be +ive or -ive & b can be +ive or -ive
c1 : a = -1 b = 2
c2 : a = 2 b = -1

1 > -2, ok, but answer to the question is No -1 > 2
1 > -2, ok, answer to the question is Yes 2 > -1

from 2) 1 > a/b

Now a can be +ive or -ive & b can be +ive or -ive
c1 : a = -1 b = 2
c2 : a = 2 b = -1

1 > -0.5, but answer to the question is No -1 > 2
1 > -2, ok, answer to the question is Yes 2 > -1

Lets now combine both the statements, we can use the same test cases

Still its not sufficient
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Re: Is a > b? 1) a*b < 1 2) a/b < 1 Source: www.GMATinsight.com  [#permalink]

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New post 02 Feb 2019, 09:02
GMATinsight wrote:
Is a > b?

1) a*b < 1
2) a/b < 1

Source: http://www.GMATinsight.com


DS is a yes or no type
#1
a*b<1
in this case either of a & b can be +ve or -ve so for relation a>b wont stand true always; in sufficient

#2
a/b<1
a<b
this relation would stand true when
b >a and both are +ve or when either of a & b is -ve , again in sufficient

from 1& 2
the only common overlap is of getting either of a & b being + and -ve
so we cannot say that a>b would stand true always

IMO E
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Re: Is a > b? 1) a*b < 1 2) a/b < 1 Source: www.GMATinsight.com  [#permalink]

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New post 02 Feb 2019, 13:04
Tricky one;

1). a*b < 1 => a = 1/2, b =-1 TRUE, a=-1/2, b =1 FALSE
2). a/b <1 => TRUE IF both a and b are positive, but no such info is given

so E
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Re: Is a > b? 1) a*b < 1 2) a/b < 1 Source: www.GMATinsight.com  [#permalink]

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New post 02 Feb 2019, 23:04
GMATinsight wrote:
Is a > b?

1) a*b < 1
2) a/b < 1

Source: http://www.GMATinsight.com


Question: Is a >b ?

Statement 1: a*b < 1

Case 1: a = 0.2 and b = 0.1 i.e. a > b Answer to the asked question is YES
Case 2: a = -0.2 and b = -0.1 i.e. a < b Answer to the asked question is NO
NOT SUFFICIENT


Statement 2: a/b < 1

Case 1: a = 0.2 and b = -0.1 i.e. a > b Answer to the asked question is YES
Case 2: a = -0.2 and b = 0.1 i.e. a < b Answer to the asked question is NO
NOT SUFFICIENT

Combining the two statements

Case 1: a = 0.2 and b = -0.1 i.e. a > b Answer to the asked question is YES
Case 2: a = -0.2 and b = 0.1 i.e. a < b Answer to the asked question is NO
NOT SUFFICIENT

Answer: Option E
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Re: Is a > b? 1) a*b < 1 2) a/b < 1 Source: www.GMATinsight.com   [#permalink] 02 Feb 2019, 23:04
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