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# What is the value of n?

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Senior DS Moderator
Joined: 27 Oct 2017
Posts: 1035
Location: India
GPA: 3.64
WE: Business Development (Energy and Utilities)
What is the value of n?  [#permalink]

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01 Nov 2018, 06:54
1
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Difficulty:

15% (low)

Question Stats:

88% (00:22) correct 12% (00:28) wrong based on 33 sessions

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What is the value of n?

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

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

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Joined: 26 Mar 2015
Posts: 10
Re: What is the value of n?  [#permalink]

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04 Nov 2018, 02:18
Squaring both statement will fetch n=4 hence D
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Re: What is the value of n?  [#permalink]

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04 Nov 2018, 06:31
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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Intern
Joined: 10 May 2018
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Re: What is the value of n?  [#permalink]

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10 Nov 2018, 22:13
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.

Director
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Re: What is the value of n?  [#permalink]

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16 Nov 2018, 09:57
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.

Re: What is the value of n? &nbs [#permalink] 16 Nov 2018, 09:57
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