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# Largest value

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Director
Joined: 20 Jul 2004
Posts: 593
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Largest value [#permalink]  13 Sep 2004, 04:08
Please take only 2 minutes or lesser.

Which of the following is largest?
1) sqrt(2/3) + sqrt(3/4) + sqrt(4/5) + sqrt(5/6)
2) 2/3 + 3/4 + 4/5 + 5/6
3) (2/3)^2 + (3/4)^2 + (4/5)^2 + (5/6)^2
4) 1 - 1/3 + 4/5 - 3/4
5) 1 - 3/4 + 4/5 + 1/3

Senior Manager
Joined: 22 Jun 2004
Posts: 394
Location: Bangalore, India
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Kudos [?]: 2 [0], given: 0

Re: Largest value [#permalink]  13 Sep 2004, 05:37
I got it as A.

I took 1 minute for this. Hope I have not hurried through.

In the first pass, I ruled out (2) & (3) because fraction squaring results in smaller number and fraction square root results in large number. So, 1 is in.

Now I plugged in rough numbers and could clearly see that 1 is larger than 4 or 5.

Sqrt (.67) > 0.8. Similarly you can take other numbers and sum up to se the result.

Do correct e if I am wrong.

hardworker_indian wrote:
Please take only 2 minutes or lesser.

Which of the following is largest?
1) sqrt(2/3) + sqrt(3/4) + sqrt(4/5) + sqrt(5/6)
2) 2/3 + 3/4 + 4/5 + 5/6
3) (2/3)^2 + (3/4)^2 + (4/5)^2 + (5/6)^2
4) 1 - 1/3 + 4/5 - 3/4
5) 1 - 3/4 + 4/5 + 1/3

_________________

Awaiting response,

Thnx & Rgds,
Chandra

Director
Joined: 16 Jun 2004
Posts: 893
Followers: 2

Kudos [?]: 19 [0], given: 0

similar approach...suqares of fractions gets smaller...

between 4 and 5. 4) is 1/4+4/5-1/3 and 5) is 1/4+4/5+1/3. hence 5)>4)

Betn. 1 and 5. 1>5.
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