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# Which of the following is NOT true?

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Math Expert
Joined: 02 Sep 2009
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Which of the following is NOT true?  [#permalink]

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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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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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07 Feb 2020, 00:45
1
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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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?
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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