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Sub 505 (Easy)|   Algebra|      
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Bunuel
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If r, s, and t are nonzero numbers, is rt = 14 ? 14 Nov 2014, 09:59
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88% (00:48) correct 12% (00:59) wrong based on 117 sessions

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If \(r\), \(s\), and \(t\) are nonzero numbers, is \(rt = 14\)?

(1) \(r^2st = 14rs\)

(2) \(\frac{t}{2} = \frac{7}{r}\)
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D
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If r, s, and t are nonzero numbers, is rt = 14 ? 14 Nov 2014, 11:40
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statement 1: sufficient

r^2st=14rs
divide both sides by rs to get rt=14

statement 2: sufficient
cross multiply to get rt =14

answer D!
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If r, s, and t are nonzero numbers, is rt = 14 ? 15 Nov 2014, 01:22
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Statement 1:
r^2st = 14rs
(r*s)(r*t) = 14*r*s
rt = 14

Sufficient. Hence options B,C,E are out

Statement 2:

\(\frac{t}{2}\) = \(\frac{7}{r}\) => rt =14

Sufficient

D
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If r, s, and t are nonzero numbers, is rt = 14 ? 15 Nov 2014, 08:51
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Statement 1: r^2st = 14rs
or, rs * (rt-14) =0
given that r,s,and t are not zeros, therefore rs is not zero and rt = 14. Sufficient

Statement 1:t/2 = 7/r
This is straightforward, rt = 14. Sufficient

Answer D)
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If r, s, and t are nonzero numbers, is rt = 14 ? 17 Nov 2014, 11:59
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Bunuel

Tough and Tricky questions: Algebra.



If \(r\), \(s\), and \(t\) are nonzero numbers, is \(rt = 14\)?

(1) \(r^2st = 14rs\)

(2) \(\frac{t}{2} = \frac{7}{r}\)

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Official Solution:

If \(r\), \(s\), and \(t\) are nonzero numbers, is \(rt = 14\)?

We must determine if \(rt = 14\), given that \(r\), \(s\), and \(t\) are nonzero numbers.

Statement 1 says that \(r^2st = 14rs\). We can divide both sides of the equation by \(rs\), like so: \(\frac{r^2st}{rs} = \frac{14rs}{rs}\). The \(rs\) in the numerator and denominator on each side divide to 1, leaving us with \(rt = 14\). Therefore, statement 1 alone is sufficient to answer the question. Eliminate answer choices B, C, and E. The correct answer choice is either A or D.

Statement 2 says that \(\frac{t}{2} = \frac{7}{r}\). Cross-multiply to obtain \(t \times r = 7 \times 2\), or \(rt = 14\). Statement 2 alone is also sufficient to answer the question.

Answer: D.
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If r, s, and t are nonzero numbers, is rt = 14 ? 07 Feb 2023, 12:17
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