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dimmak
Joined: 08 Sep 2017
Last visit: 04 Jun 2019
Posts: 54
Given Kudos: 185
Location: Colombia
Schools: Haas '21 (S) LBS '21 (A)
GMAT 1: 710 Q49 V39
Products:
05 Nov 2018, 19:53
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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:
45%
(medium)
Question Stats:
65% (01:28) correct
35%
(01:20)
wrong
based on 1036
sessions
History
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If m, k, x, and y are positive numbers, is \(mx + ky > kx + my\) ?
(1) \(m > k\)
(2) \(x > y\)
(1) \(m > k\)
(2) \(x > y\)
05 Nov 2018, 21:21
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dimmak
If m, k, x, and y are positive numbers, is \(mx + ky > kx + my\) ?
(1) \(m > k\)
(2) \(x > y\)
(1) \(m > k\)
(2) \(x > y\)
Question asks: Is mx + ky > kx + my
or Is mx - kx > my - ky
or Is (m-k)x > (m-k)y
(1) If m > k, then m-k is positive, but we dont know that which is greater out of x and y. So we cant say whether the product of (m-k)x is greater or the product of (m-k)y is greater. So this statement is not sufficient.
(2) x > y. Now if m > k, then m-k is positive and the product of same positive number with x will yield a higher number than the product of same positive number with y: and in this case the answer to the question would be YES. But if m < k, then m-k is negative and the answer to the question would be NO. So this statement is not sufficient.
Combining the two statements, m > k so m-k is positive and x > y so the product of (m-k)x is greater than the product of (m-k)y. Answer to the question is YES. sufficient.
Hence C answer
10 Oct 2019, 03:47
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dimmak
If m, k, x, and y are positive numbers, is \(mx + ky > kx + my\) ?
(1) \(m > k\)
(2) \(x > y\)
(1) \(m > k\)
(2) \(x > y\)
Simplify the Q:
mx + ky > kx + my ?
m (x-y) > K(x-y)
(x-y)(m-k)>0?
1) x - y > 0. Don't know anything about (m - k). Not sufficient
2) m - k > 0. Don't know anything about (x - y). Not sufficient
1+2) Sufficient
ANSWER: C
