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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1055
GPA: 3.39
If w, x, y, and z are real numbers, each of the following eq
[#permalink]
01 Jan 2020, 03:51
01 Jan 2020, 03:51
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If \(w, x, y,\) and \(z\) are real numbers, each of the following equals \(w(x + y + z)\) EXCEPT
(A) \(wx + wy + wz\)
(B) \((x + y + z)w\)
(C) \(wx + w(y + z)\)
(D) \(3w + x + y + z\)
(E) \(w(x + y) + wz\)
(A) \(wx + wy + wz\)
(B) \((x + y + z)w\)
(C) \(wx + w(y + z)\)
(D) \(3w + x + y + z\)
(E) \(w(x + y) + wz\)
Moderator
Joined: 02 Jan 2020
Status:GRE Quant Tutor
Posts: 1141
Given Kudos: 9
Location: India
Concentration: General Management
Schools: XLRI Jamshedpur, India - Class of 2014
GMAT 1: 700 Q51 V31
GPA: 2.8
WE:Engineering (Computer Software)
Re: If w, x, y, and z are real numbers, each of the following eq
[#permalink]
02 Jan 2020, 09:18
02 Jan 2020, 09:18
Notice that the Question is EXCEPT question. So, DO NOT answer in a hurry and mark option A!
Easiest way to solve this is to open the brackets in the question stem and also in the option choices
w(x + y + z) = wx + wy + wz
Taking each option now:
(A) \(wx + wy + wz\)
Same as Question
(B) \((x + y + z)w\)
Opening bracket we get wx + wy + wz, Same as Question
(C) \(wx + w(y + z)\)
Opening bracket we get wx + wy + wz, Same as Question
(D) \(3w + x + y + z\)
This is not equal to question
(E) \(w(x + y) + wz\)
Opening bracket we get wx + wy + wz, Same as Question
So, answer is D.
Hope it helps!
Easiest way to solve this is to open the brackets in the question stem and also in the option choices
w(x + y + z) = wx + wy + wz
Taking each option now:
(A) \(wx + wy + wz\)
Same as Question
(B) \((x + y + z)w\)
Opening bracket we get wx + wy + wz, Same as Question
(C) \(wx + w(y + z)\)
Opening bracket we get wx + wy + wz, Same as Question
(D) \(3w + x + y + z\)
This is not equal to question
(E) \(w(x + y) + wz\)
Opening bracket we get wx + wy + wz, Same as Question
So, answer is D.
Hope it helps!
gmatclubot
Re: If w, x, y, and z are real numbers, each of the following eq [#permalink]
02 Jan 2020, 09:18
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