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

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Senior SC Moderator
Joined: 14 Nov 2016
Posts: 1322
Location: Malaysia
Is ab < a? (1) a = 0 (2) b = 0  [#permalink]

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08 Mar 2017, 22:55
2
00:00

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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Joined: 27 May 2014
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Re: Is ab < a? (1) a = 0 (2) b = 0  [#permalink]

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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.

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

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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

RC Moderator
Joined: 24 Aug 2016
Posts: 642
Concentration: Entrepreneurship, Operations
GMAT 1: 630 Q48 V28
GMAT 2: 540 Q49 V16
Re: Is ab < a? (1) a = 0 (2) b = 0  [#permalink]

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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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Please let me know if I am going in wrong direction.
Thanks in appreciation.

Re: Is ab < a? (1) a = 0 (2) b = 0 &nbs [#permalink] 08 May 2018, 14:54
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