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Senior PS Moderator V
Joined: 26 Feb 2016
Posts: 3337
Location: India
GPA: 3.12
If (4a/6)(1/7)(4)(3/2a)(7)(x) = 1 then x =  [#permalink]

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3 00:00

Difficulty:   15% (low)

Question Stats: 95% (01:02) correct 5% (01:00) wrong based on 71 sessions

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If $$(\frac{4a}{6})(\frac{1}{7})(4)(\frac{3}{2a})(7)(x) = 1$$ then x =

(A) $$\frac{1}{4}$$

(B) $$\frac{1}{2}$$

(C) $$2$$

(D) $$7$$

(E) $$8$$

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Senior Manager  D
Joined: 18 Jun 2018
Posts: 263
Re: If (4a/6)(1/7)(4)(3/2a)(7)(x) = 1 then x =  [#permalink]

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OA: A

$$(\frac{4a}{6})(\frac{1}{7})(4)(\frac{3}{2a})(7)(x) = 1$$

$$\frac{4a*1*4*3*7*x}{6*7*2a}=1$$

$$4x=1$$

$$x=\frac{1}{4}$$
Veritas Prep GMAT Instructor V
Joined: 16 Oct 2010
Posts: 9701
Location: Pune, India
Re: If (4a/6)(1/7)(4)(3/2a)(7)(x) = 1 then x =  [#permalink]

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pushpitkc wrote:
If $$(\frac{4a}{6})(\frac{1}{7})(4)(\frac{3}{2a})(7)(x) = 1$$ then x =

(A) $$\frac{1}{4}$$

(B) $$\frac{1}{2}$$

(C) $$2$$

(D) $$7$$

(E) $$8$$

$$(\frac{4a}{6})(\frac{1}{7})(4)(\frac{3}{2a})(7)(x) = 1$$

Note that a in numerator gets cancelled with a in denominator.
7 in numerator gets cancelled with 7 in denominator.
4*3 in numerator gets cancelled with 6*2 in denominator

So all you are left with is 4x = 1
x = 1/4
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Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options > Re: If (4a/6)(1/7)(4)(3/2a)(7)(x) = 1 then x =   [#permalink] 03 Nov 2018, 00:16
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