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13 Sep 2004, 05:08
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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
Explain how you went about.
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
Explain how you went about.
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This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
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13 Sep 2004, 06:37
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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.
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
13 Sep 2004, 06:48
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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.
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.
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
