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non negative

by shashank.ism » Tue Feb 09, 2010 12:55 pm
a, b, c, d and e be non-negative real numbers such that a + b + c + d + e = 10. Let X be the maximum of the numbers a + b, b + c, c + d and d + e. The least possible value of X lies in the interval

[0, 2]
[2, 3]
[3, 4]
[5,7]
[5, 10]
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by harsh.champ » Thu Feb 18, 2010 12:28 pm
shashank.ism wrote:a, b, c, d and e be non-negative real numbers such that a + b + c + d + e = 10. Let X be the maximum of the numbers a + b, b + c, c + d and d + e. The least possible value of X lies in the interval

[0, 2]
[2, 3]
[3, 4]
[5,7]
[5, 10]
The least possible value of x is possible when we all the sum are equal.
That is when a=b=c=d=e=2[In any other case the maximum of a + b, b + c, c + d and d + e would be Greater Than 4]
Hence ,the answer is 4 which lies in the interval [3,4]
So,OA should be C.
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by shashank.ism » Fri Feb 19, 2010 1:42 am
harsh.champ wrote:
shashank.ism wrote:a, b, c, d and e be non-negative real numbers such that a + b + c + d + e = 10. Let X be the maximum of the numbers a + b, b + c, c + d and d + e. The least possible value of X lies in the interval

[0, 2]
[2, 3]
[3, 4]
[5,7]
[5, 10]
The least possible value of x is possible when we all the sum are equal.
That is when a=b=c=d=e=2[In any other case the maximum of a + b, b + c, c + d and d + e would be Greater Than 4]
Hence ,the answer is 4 which lies in the interval [3,4]
So,OA should be C.
how do you say that .. I am not able to understand what do you want to say....
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by abhi.genx7 » Fri Feb 19, 2010 12:44 pm
Didn't get it clearly .
Can anyone explain clearly ??
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by shashank.ism » Fri Feb 19, 2010 11:18 pm
OA is
Average of the numbers = 2.
So the least possible value of X lies in the interval [3,4].
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