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01 Jan 2021, 23:35
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B
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Difficulty:
15%
(low)
Question Stats:
85% (01:05) correct
15%
(01:37)
wrong
based on 79
sessions
History
Date
Time
Result
Not Attempted Yet
What is the ratio of r:s:t?
(1) t = 2 and rs = 18
(2) \(\frac{r}{s} =4\) and \(\frac{t}{s}=\frac{1}{2}\)
(1) t = 2 and rs = 18
(2) \(\frac{r}{s} =4\) and \(\frac{t}{s}=\frac{1}{2}\)
03 Jan 2021, 07:37
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Sajjad1994
Target question: What is the ratio of r:s:t?
Statement 1: t = 2 and rs = 18
Since we aren't told the relationship between t and the other two variables (r and s) there's no way to answer the target question
Statement 1 is NOT SUFFICIENT
Statement 2: \(\frac{r}{s} =4\) and \(\frac{t}{s}=\frac{1}{2}\)[/quote]
This looks promising...
\(\frac{r}{s} =4\) is the same as saying \(\frac{r}{s} =\frac{4}{1}\) which is the same as saying: \(r : s = 4 : 1\)
\(\frac{t}{s}=\frac{1}{2}\) is the same as saying \(t:s=1:2\)
At this point, we can see that, by applying the usual strategies for combining ratios, we COULD determine the ratio \(r:s:t\) (although we would never waste valuable time on test day doing so)
Since we could answer the target question with certainty, statement 2 is SUFFICIENT
ASIDE: When we combine the two ratios we get: \(r:s:t = 8:2:1\)
Answer: B
Cheers,
Brent
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