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Is ab < a? (1) a = 0 (2) b = 0

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Is ab < a? (1) a = 0 (2) b = 0  [#permalink]

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New post 08 Mar 2017, 22:55
2
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

72% (00:46) correct 28% (00:43) wrong based on 76 sessions

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Is \(ab < a\)?

(1) \(a = 0\)
(2) \(b = 0\)

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Re: Is ab < a? (1) a = 0 (2) b = 0  [#permalink]

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New post 09 Mar 2017, 08:57
Is ab < a?

(1) a = 0. Then, ab = 0.
Hence, ab = a. Sufficient.

(2) b = 0.
Suppose, a = 5. Then ab = 0 < a.

Again, suppose a = -5.
Then ab = 0 > a.
Hence, Insufficient.

Answer A.
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Re: Is ab < a? (1) a = 0 (2) b = 0  [#permalink]

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New post 09 Mar 2017, 09:41
Is \(ab < a\)?

Rearrange:

\(ab-a< 0\)

\(a(b-1)< 0\)


(1) \(a = 0\)

If a= 0.......then it is always will be 0 <0......Answer is No

Sufficient

(2) \(b = 0\)

If b=0.....then but no info about a

Insufficient

Answer A
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Re: Is ab < a? (1) a = 0 (2) b = 0  [#permalink]

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New post 08 May 2018, 14:54
hazelnut wrote:
Is \(ab < a\)?

(1) \(a = 0\)
(2) \(b = 0\)



Q-Stem : Is \(ab < a\)?

(1) \(a = 0\)..... putting the value of \(a = 0\) in Q-Stem
\(0*b < 0\) ==> \(0< 0\).... this is not true .... Thus in this case \(ab\) is not less than \(a\)........ (Sufficient)

(2) \(b = 0\)..... putting the value of \(b = 0\) in Q-Stem
\(a*0 < a\) ==> \(0< a\).... here we can not conclude anything unless we know the value of \(a\)........ (insufficient)

Thus I would go for option A.
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Re: Is ab < a? (1) a = 0 (2) b = 0 &nbs [#permalink] 08 May 2018, 14:54
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