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If (4a/6)(1/7)(4)(3/2a)(7)(x) = 1 then x =

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If (4a/6)(1/7)(4)(3/2a)(7)(x) = 1 then x =  [#permalink]

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New post 02 Nov 2018, 03:49
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A
B
C
D
E

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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Re: If (4a/6)(1/7)(4)(3/2a)(7)(x) = 1 then x =  [#permalink]

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New post 02 Nov 2018, 23:56
OA: A

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

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

\(4x=1\)

\(x=\frac{1}{4}\)
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Re: If (4a/6)(1/7)(4)(3/2a)(7)(x) = 1 then x =  [#permalink]

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New post 03 Nov 2018, 00:16
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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Re: If (4a/6)(1/7)(4)(3/2a)(7)(x) = 1 then x =   [#permalink] 03 Nov 2018, 00:16
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