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If x, y and z are nonzero numbers and x + y = z, which of the followin
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28 Feb 2021, 10:28
28 Feb 2021, 10:28
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Question Stats:
86% (00:57) correct
13% (01:25) wrong based on 29 sessions
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If x, y and z are nonzero numbers and x + y = z, which of the following is equal to 1?
(A) (x - y)/z
(B) (x - z)/y
(C) (y -z)/x
(D) (y -x)/z
(E) (z - y)/x
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
(A) (x - y)/z
(B) (x - z)/y
(C) (y -z)/x
(D) (y -x)/z
(E) (z - y)/x
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Re: If x, y and z are nonzero numbers and x + y = z, which of the followin
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28 Feb 2021, 10:40
28 Feb 2021, 10:40
1
This is an algebraic problem that is fairly simple if one approaches it systematically.
Given that there is only one expression with three variables, write an isolated equation for each variable:
z = x + y
x = z - y
y = z -x
Now look (but do not stare dumbfoundedly!) at the answer choices; notice that no answer choice has a negative sign preceding it, and no answer choice has '+', so we know 'z=x+y' doesn't work; hence, eliminate A & D.
Let's compare to 'z-x' then. Clearly, answer choice E is (z-x)/x = x/x = 1
The answer is E.
Given that there is only one expression with three variables, write an isolated equation for each variable:
z = x + y
x = z - y
y = z -x
Now look (but do not stare dumbfoundedly!) at the answer choices; notice that no answer choice has a negative sign preceding it, and no answer choice has '+', so we know 'z=x+y' doesn't work; hence, eliminate A & D.
Let's compare to 'z-x' then. Clearly, answer choice E is (z-x)/x = x/x = 1
The answer is E.
Re: If x, y and z are nonzero numbers and x + y = z, which of the followin
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28 Feb 2021, 10:44
28 Feb 2021, 10:44
1
Solution:
x+y=z
x=z-y
Dividing both sides by x
1=\(\frac{z-y}{x}\)
IMO E
Hope this helps!
x+y=z
x=z-y
Dividing both sides by x
1=\(\frac{z-y}{x}\)
IMO E
Hope this helps!
