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# If a^2 − b = n, what is the value of a? (1) n + b = 4 (2) b = 1

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Math Expert
Joined: 02 Sep 2009
Posts: 58396
If a^2 − b = n, what is the value of a? (1) n + b = 4 (2) b = 1  [#permalink]

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01 Nov 2018, 00:07
00:00

Difficulty:

35% (medium)

Question Stats:

67% (00:59) correct 33% (00:53) wrong based on 47 sessions

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If a^2 − b = n, what is the value of a?

(1) n + b = 4
(2) b = 1

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Re: If a^2 − b = n, what is the value of a? (1) n + b = 4 (2) b = 1  [#permalink]

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01 Nov 2018, 01:35
Bunuel wrote:
If a^2 − b = n, what is the value of a?

(1) n + b = 4
(2) b = 1

Question: a = ?

Given: $$a^2 − b = n$$
i.e. $$a^2 = n+b$$

Statement 1: n + b = 4
i.e.$$a^2 = 4$$
i.e. a = +2 (two possible values of a)

NOT SUFFICIENT

Statement 2: b = 1

No information about n hence a can NOT be calculated

NOT SUFFICIENT

Combining the two statements

still we have, a = +2 (two possible values of a)

NOT SUFFICIENT

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Re: If a^2 − b = n, what is the value of a? (1) n + b = 4 (2) b = 1  [#permalink]

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01 Nov 2018, 23:50
IMO E
as in statement A, we obtain 2 values of a= +- 2
Re: If a^2 − b = n, what is the value of a? (1) n + b = 4 (2) b = 1   [#permalink] 01 Nov 2018, 23:50
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