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What is the value of n? (1) n^(1/2) = 2 (2) (4n)^(1/2) = 4

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What is the value of n? (1) n^(1/2) = 2 (2) (4n)^(1/2) = 4 [#permalink] New post   01 Nov 2018, 07:54
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93% (00:27) correct 7% (00:39) wrong based on 164 sessions
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What is the value of n?


(1) \(\sqrt{n} = 2\)

(2) \(\sqrt{4n} = 4\)
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D
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pentium
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Re: What is the value of n? (1) n^(1/2) = 2 (2) (4n)^(1/2) = 4 [#permalink] New post   04 Nov 2018, 03:18
Squaring both statement will fetch n=4 hence D
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Re: What is the value of n? (1) n^(1/2) = 2 (2) (4n)^(1/2) = 4 [#permalink] New post   04 Nov 2018, 07:31
The answer is D.
We can solve this logically, without any calculation: both statements present an equation with one variable - a solution is definitely possible. they are both sufficient!

If we want to go the Precise route, and actually calculate, we can:

gmatbusters wrote:

(1) \(\sqrt{n}\) = 2

We'll raise both sides to the power of 2: n = 4 - that's our answer. Sufficient! B, C and E are eliminated!

gmatbusters wrote:

(2) \(\sqrt{4n}\) = 4

We'll raise both sides to the power of 2: 4n = 16 ==> n = 4 - that's our answer. Sufficient! A is eliminated. Answer D.
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Re: What is the value of n? (1) n^(1/2) = 2 (2) (4n)^(1/2) = 4 [#permalink] New post   10 Nov 2018, 23:13
gmatbusters wrote:
What is the value of n?


(1) \(\sqrt{n}\) = 2

(2) \(\sqrt{4n}\) = 4



Statement 1: squaring both sides, we get n=4. Sufficient.
Statement 2: squaring both sides, we again get n=4. Sufficient.

D is the answer
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Re: What is the value of n? (1) n^(1/2) = 2 (2) (4n)^(1/2) = 4 [#permalink] New post   16 Nov 2018, 10:57
gmatbusters wrote:
What is the value of n?


(1) \(\sqrt{n}\) = 2

(2) \(\sqrt{4n}\) = 4



we are looking for the value of n.

statement 1: \(\sqrt{n}\) = 2 = n = 4. Sufficient. to get the value of n , square both sides of the equation.

Statement 2: \(\sqrt{4n}\) = 4 = n=4. The same as 1.

D is the correct answer.
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Re: What is the value of n? (1) n^(1/2) = 2 (2) (4n)^(1/2) = 4 [#permalink]
16 Nov 2018, 10:57
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Bunuel
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