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# Which of the following expression can be written as an

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Senior Manager
Joined: 31 Oct 2011
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Which of the following expression can be written as an [#permalink]

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16 May 2012, 17:29
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5% (low)

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75% (01:33) correct 25% (00:34) wrong based on 146 sessions

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Which of the following expression can be written as an integer?

1. $$(\sqrt{82} + \sqrt{82})^2$$

2. $$82*\sqrt{82}$$

3. $$\frac{\sqrt{82}*\sqrt{82}}{82}$$

A. none
B. 1 only
C. 3 only
D. 1 and 2
E. 1 and 3

I doubt OA.
[Reveal] Spoiler: OA

Last edited by Bunuel on 17 May 2012, 01:23, edited 1 time in total.
Edited the question
Manager
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17 May 2012, 01:05
1
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eybrj2 wrote:
Which of the following expression can be written as an integer?

1) (\sqrt{82} + \sqrt{82})^2
2) 82*\sqrt{82}
3) \sqrt{82}*\sqrt{82}/82

a. none
b. 1 only
c. 3 only
d. 1 and 2
e. 1 and 3

I doubt OA.

Hi

Option E is correct:

1) (\sqrt{82} + \sqrt{82})^2 = (2*\sqrt{82)^2= 4*82= Integer
2) 82*[square_root]82}= not an integer
3) (\sqrt{82} * \sqrt{82})/82
= 82/82=1= Integer
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Best
Vaibhav

If you found my contribution helpful, please click the +1 Kudos button on the left, Thanks

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Re: Which of the following expression can be written as an [#permalink]

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17 May 2012, 01:25
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eybrj2 wrote:
Which of the following expression can be written as an integer?

1. $$(\sqrt{82} + \sqrt{82})^2$$

2. $$82*\sqrt{82}$$

3. $$\frac{\sqrt{82}*\sqrt{82}}{82}$$

A. none
B. 1 only
C. 3 only
D. 1 and 2
E. 1 and 3

I doubt OA.

1. $$(\sqrt{82} + \sqrt{82})^2=(2\sqrt{82})^2=4*82=integer$$

2. $$82*\sqrt{82}$$ --> since $$\sqrt{82}$$ is not an integer then $$82*\sqrt{82}$$ is not integer either.

3. $$\frac{\sqrt{82}*\sqrt{82}}{82}=\frac{82}{82}=1=integer$$.

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Re: Which of the following expression can be written as an [#permalink]

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10 Nov 2016, 18:33
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Thanks to another GMAT 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: Which of the following expression can be written as an   [#permalink] 10 Nov 2016, 18:33
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