11. 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
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X^4+Y^4=100
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gmatmachoman
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ajith
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Please use searchgmatmachoman wrote:11. 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
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komal
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If y^4 is 0 then x^4 will be the greatest = > x will be greatestgmatmachoman wrote:11. 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
Hence x^4 =100 ; x will be between 3 ( 3^4= 81)and 4.
Hence, answer is B.
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Scott@TargetTestPrep
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In determining the greatest possible value of x, we want to minimize y^4. Since the minimum value of y^4 is 0 (when y = 0), we have:gmatmachoman wrote:11. 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
x^4 + 0 = 100
x^4 = 100
x^2 = 10
x = +/-√10
x ≈ 3.2 or -3.2
Thus, we see that the greatest value of x is between 3 and 6.
Answer: B
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