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# Which of the following expression can be written as an

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Senior Manager
Joined: 31 Oct 2011
Posts: 329
Followers: 1

Kudos [?]: 354 [0], given: 18

Which of the following expression can be written as an [#permalink]  16 May 2012, 16:29
00:00

Difficulty:

25% (medium)

Question Stats:

76% (01:22) correct 24% (00:50) wrong based on 21 sessions
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, 00:23, edited 1 time in total.
Edited the question
Manager
Affiliations: Project Management Professional (PMP)
Joined: 30 Jun 2011
Posts: 213
Location: New Delhi, India
Followers: 3

Kudos [?]: 38 [0], given: 12

Re: GWD #24 M15 [#permalink]  17 May 2012, 00:05
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
_________________

Best
Vaibhav

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Math Expert
Joined: 02 Sep 2009
Posts: 28784
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Kudos [?]: 47674 [0], given: 7130

Re: Which of the following expression can be written as an [#permalink]  17 May 2012, 00:25
Expert's post
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. $$\frac{\sqrt{82}*\sqrt{82}}{82}=\frac{82}{82}=1=integer$$.

_________________
Re: Which of the following expression can be written as an   [#permalink] 17 May 2012, 00:25
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