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Updated on: 19 Oct 2016, 07:24
Originally posted by GMATinsight on 18 Oct 2016, 08:17.
Last edited by GMATinsight on 19 Oct 2016, 07:24, edited 2 times in total.
Last edited by GMATinsight on 19 Oct 2016, 07:24, edited 2 times in total.
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
49% (02:08) correct
51%
(02:16)
wrong
based on 243
sessions
History
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If x, y and z are Integers and z is not equal to 0, Find range of \(\frac{(x-y)}{z}\)
-5 < x < 10
-11 < y < 4
-2 < z <2
(A) -4.5 < \(\frac{(x-y)}{z}\) < 10.5
(B) 6 < \(\frac{(x-y)}{z}\)< 6
(C) -9 < \(\frac{(x-y)}{z}\) < 21
(D) 9 < \(\frac{(x-y)}{z}\) < 21
(E) -21 < \(\frac{(x-y)}{z}\) < 21
Source: https://www.GMATinsight.com
-5 < x < 10
-11 < y < 4
-2 < z <2
(A) -4.5 < \(\frac{(x-y)}{z}\) < 10.5
(B) 6 < \(\frac{(x-y)}{z}\)< 6
(C) -9 < \(\frac{(x-y)}{z}\) < 21
(D) 9 < \(\frac{(x-y)}{z}\) < 21
(E) -21 < \(\frac{(x-y)}{z}\) < 21
Source: https://www.GMATinsight.com
18 Oct 2016, 15:29
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GMATinsight
Dear GMATinsight,
With all due respect, my friend, there appears to be some problems with this question.
1) In the prompt, the relationship of the three inequalities below the text is not clear. On a GMAT Quant question, something would be explicitly said. For example, the three inequalities might be stated above the words, and then the words could say, "If x, y and z are Integers in the ranges give above and ..." In one way or another, the words have to make clear reference to the role of those three inequality statements.
2) I believe there's a missing negative sign in choice (C), because otherwise, the expression could only equal 6.
3) Most importantly, given that those three equalities at the beginning specify ranges for the variables, then I don't find the answer listed.
If we want the numerator, the value (x + y), to have the biggest absolute value, x and y need to have the same sign.
x + y = 10 + 4 = 14 if we add the highest positive values
x + y = (-11) + (-5) = -16 if we add the lowest negative values: this is better.
To make this positive, we need to divide by the smallest allowable negative number, which is -1.
Max value = ((-11) + (-5))/(-1) = +16
To make this a large negative value, we would divide by the smallest allowable positive number, which is +1.
Max value = ((-11) + (-5))/(+1) = -16
The range is from -16 to +16, an option not given.
Does all this make sense?
Mike
18 Oct 2016, 19:49
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mikemcgarry
Thank you mikemcgarry
I made and posted two questions one with (x+y)/z and other with (x-y)/z but in this question i missed changing sign between x and y in the uestion
Really sorry for causing this waste of your time... Have made correction in question.
