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15% of A is greater than 20% of B.

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rahulroy1676
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15% of A is greater than 20% of B. [#permalink] New post   Updated on: 10 Apr 2020, 13:31
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15% of A is greater than 20% of B. Which of the following can be true?

Indicate all such answers.

A. A < B

B. A = B

C. AB < 0

D. A > B
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Official Answer
D

Originally posted by rahulroy1676 on 06 Jul 2019, 00:49.
Last edited by Carcass on 10 Apr 2020, 13:31, edited 1 time in total.
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rahulroy1676
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Re: GRE question [#permalink] New post   06 Jul 2019, 00:49
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It is given that, 15% of A > 20% of B.

⇒ A > 43B.

Now, nothing has been specified about the signs of A and B, so, let us analyze different cases.

Case I:

If A is positive and B is positive.

So, A > 43B is possible only when A > B.

Case II:

If A is positive and B is negative.

A > 43B in all the cases.

Hence, the product of A and B will be negative, i.e., AB < 0.

Case III:

If A is negative and B is positive.

Here, A can never be greater than 43B.

So, this case is not possible.

Case IV:

If A is negative and B is also negative.

Now, A > 43B is possible only when A < B or A = B.

Answers: A, B, C, and D.
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Re: 15% of A is greater than 20% of B. [#permalink] New post   06 Jul 2019, 02:36
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Thanks, Sir to post good questions.

However, this forum has rules to follow https://gre.myprepclub.com/forum/rules-for ... -1083.html

How to format a question and the use of the timer

https://gre.myprepclub.com/forum/how-to-po ... 12752.html

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Re: 15% of A is greater than 20% of B. [#permalink] New post   10 Apr 2020, 11:54
Carcass wrote:
Thanks, Sir to post good questions.

However, this forum has rules to follow https://gre.myprepclub.com/forum/rules-for ... -1083.html

How to format a question and the use of the timer

https://gre.myprepclub.com/forum/how-to-po ... 12752.html

Regards

can you please explain how A=B can be possible?
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Re: 15% of A is greater than 20% of B. [#permalink] New post   10 Apr 2020, 13:36
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Translation into math

0.15A > 0.20 B

15 A > 20 B

3 A > 4 B

Now, A is a multiple of 4 and B is a multiple of 3

Suppose B = 3 we do have on the RHS 12

3 A > 12 and we do know that A is a multiple of 4.

3*4 = 12

12 > 12 which is impossible

A must be > B

D is the correct answer. A=B cannot

regards
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Re: 15% of A is greater than 20% of B. [#permalink] New post   30 May 2021, 06:53
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: 15% of A is greater than 20% of B. [#permalink]
30 May 2021, 06:53
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