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Re: Greatest Possible values of x? [#permalink]
19 Jul 2013, 01:00

LoyalWater wrote:

shailyam, The ans should be B not A since values geater than 3 also satify the equation e.g. x = 3.1 can also be possible.

Going by your logic, one can consider 3.1 as a possible value of x. Here we're not sure of the value of x and saying that the greatest possible value of x is between 3 and 6 would mean that x could be even more than 3.1, for example 4. Hence, answer is A

Re: Greatest Possible values of x? [#permalink]
19 Jul 2013, 01:54

1

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Expert's post

kshitij90 wrote:

LoyalWater wrote:

shailyam, The ans should be B not A since values geater than 3 also satify the equation e.g. x = 3.1 can also be possible.

Going by your logic, one can consider 3.1 as a possible value of x. Here we're not sure of the value of x and saying that the greatest possible value of x is between 3 and 6 would mean that x could be even more than 3.1, for example 4. Hence, answer is A

That's not correct.

If x^4+y^4=100, then the greatest possible value of x is between

A. 0 and 3 B. 3 and 6 C. 6 and 9 D. 9 and 12 E. 12 and 15

General rule for such kind of problems: to maximize one quantity, minimize the others; to minimize one quantity, maximize the others.

So, to maximize x we should minimize y^4. Least value of y^4 is zero. In this case x^4+0=100 --> x^4=100 --> x^2=10 --> x=\sqrt{10}\approx{3.2}, which is in the range (3,6).