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Which of the following is NOT true?

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Which of the following is NOT true?  [#permalink]

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New post 06 Feb 2020, 08:13
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Which of the following is NOT true?

(A) 2.5 is the reciprocal of 0.4.

(B) \(1+\frac{x}{2}\) is the reciprocal of \(\frac{2}{2+x}\)

(C) \(\frac{xz}{-y}\) is the reciprocal of \(\frac{y}{-xz}\)

(D) \(\frac{2a}{b}\) is the reciprocal of \(\frac{b}{0.5a}\)

(E) \(\frac{m}{\frac{7}{8}}\) is the reciprocal of \(\frac{7}{8m}\)

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Re: Which of the following is NOT true?  [#permalink]

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New post 07 Feb 2020, 00:27
Bunuel wrote:
Which of the following is NOT true?

(A) 2.5 is the reciprocal of 0.4.

(B) \(1+\frac{x}{2}\) is the reciprocal of \(\frac{2}{2+x}\)

(C) \(\frac{xz}{-y}\) is the reciprocal of \(\frac{y}{-xz}\)

(D) \(\frac{2a}{b}\) is the reciprocal of \(\frac{b}{0.5a}\)

(E) \(\frac{m}{\frac{7}{8}}\) is the reciprocal of \(\frac{7}{8m}\)


IMO D; \(\frac{2a}{b}\) is the reciprocal of \(\frac{b}{0.5a}\)
not true option
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Which of the following is NOT true?  [#permalink]

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New post 07 Feb 2020, 00:45
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Bunuel wrote:
Which of the following is NOT true?

(A) 2.5 is the reciprocal of 0.4.

(B) \(1+\frac{x}{2}\) is the reciprocal of \(\frac{2}{2+x}\)

(C) \(\frac{xz}{-y}\) is the reciprocal of \(\frac{y}{-xz}\)

(D) \(\frac{2a}{b}\) is the reciprocal of \(\frac{b}{0.5a}\)

(E) \(\frac{m}{\frac{7}{8}}\) is the reciprocal of \(\frac{7}{8m}\)


Let's check them using options

(A) 2.5 is the reciprocal of 0.4. reciprocal of 0.4 = 1/0.4 = 10/4 = 5/2 = 2.5 i.e. TRUE

(B) \(1+\frac{x}{2}\) is the reciprocal of \(\frac{2}{2+x}\) reciprocal of \(\frac{2}{2+x}=\frac{2+x}{2} = (2/2)+(x/2) = 1+\frac{x}{2}\) TRUE

(C) \(\frac{xz}{-y}\) is the reciprocal of \(\frac{y}{-xz}\) reciprocal of \(\frac{y}{-xz} = \frac{xz}{-y} TRUE\)

(D) \(\frac{2a}{b}\) is the reciprocal of \(\frac{b}{0.5a}\) reciprocal of \(\frac{b}{0.5a}\) = \(0.5a/b = \frac{a}{2b} FALSE\)

(E) \(\frac{m}{\frac{7}{8}}\) is the reciprocal of \(\frac{7}{8m}\)

Answer: Option D
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Re: Which of the following is NOT true?  [#permalink]

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New post 13 Feb 2020, 13:57
(E) m78m78 is the reciprocal of 78m78m

can someone do the math with this? I don't understand when there are 2 numerators and 1 denomenator or 1 denomenator and 2 numerators?
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Re: Which of the following is NOT true?   [#permalink] 13 Feb 2020, 13:57

Which of the following is NOT true?

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