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04 Jul 2018, 21:43
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
48% (01:36) correct
52%
(01:44)
wrong
based on 440
sessions
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If x and y are integers and -9 < x < 3 and -3 < y < 3, what is the sum of the maximum values of \(\frac{x}{y}\) and xy?
(A) 36
(B) 28
(C) 24
(D) 12
(E) None of the above
(A) 36
(B) 28
(C) 24
(D) 12
(E) None of the above
04 Jul 2018, 23:09
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chetan2u
Given \(-8\leq{x\leq{2}\) & \(-2\leq{y\leq{2}\) with x and y are integers.
Max|x|=8, Max|y|=2, Min|y|=1
So, Max( \(\frac{x}{y}\)+xy)=Max(\(\frac{x}{y}\))+Max(xy)
=\(\frac{-8}{-1}\) + (-8)*(-2)
=8+16=24
Ans. (C)
05 Jul 2018, 06:47
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chetan2u
max(\(\frac{x}{y}\)) = \(\frac{-8}{-1}\) = 8
max(xy) = -8 * -2 = 16
therefore max(\(\frac{x}{y}\)) + max(xy) = 24
