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What is Value of A? (1) AB = 12 (2) A = 36/(3B)

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What is Value of A? (1) AB = 12 (2) A = 36/(3B)  [#permalink]

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New post Updated on: 26 Mar 2019, 21:34
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What is Value of A?

(1) AB = 12

(2) A = 36/(3B)

Correct Answer is E - Can someone please explain this?

I get a wierd solution where 12 = 12 after combining the statements.

Originally posted by Gradus on 26 Mar 2019, 21:28.
Last edited by Bunuel on 26 Mar 2019, 21:34, edited 1 time in total.
Renamed the topic, edited the question and moved to DS forum.
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Re: What is Value of A? (1) AB = 12 (2) A = 36/(3B)  [#permalink]

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New post 26 Mar 2019, 22:35
Statement 1 -
AB = 12...
Values of A can be 1,2,3,4,6,12
not sufficient..

Statement 2 -
A = 36/3B
A = 12/B
AB = 12.. Same as statement 1.. not sufficient..

Combining both statements won't help because both statements give the same equation.
Option E is the right answer.

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What is Value of A? (1) AB = 12 (2) A = 36/(3B)  [#permalink]

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New post 26 Mar 2019, 23:11
Gradus wrote:
Correct Answer is E - Can someone please explain this?
I get a weird solution where 12 = 12 after combining the statements.

there is no clue about A or B
It can be an integer : multiples of 12 (1,2,3,4,6,12)
It can be negative if B is negative (we can only know that A & B has the same signs either both positive or negative): (-1,-2,...)
It can be fraction: for example, A can be \(\frac{1}{17}\) if B = \(\frac{12}{17}\)

we should think beyond the pure algebra,
and ask : what information we get from the statement?

Information from statement 1 :
A*B = 12 ,
A & B are not equal to zero
A & B has the same sign (which we don't know what it is exactly)

information from statement 2:
the same as (1), nothing new.
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Re: What is Value of A? (1) AB = 12 (2) A = 36/(3B)  [#permalink]

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New post 29 Mar 2019, 22:53
both statements ultimately make up the same sentence.
AB =12
hence neither is sufficient
answer E
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Re: What is Value of A? (1) AB = 12 (2) A = 36/(3B)   [#permalink] 29 Mar 2019, 22:53
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