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OG 13 -120

This topic has 3 expert replies and 1 member reply
shibsriz@gmail.com Master | Next Rank: 500 Posts Default Avatar
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OG 13 -120

Post Wed Apr 03, 2013 2:22 am
The other way to solve this
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hemant_rajput Master | Next Rank: 500 Posts
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Post Wed Apr 03, 2013 4:19 am
shibsriz@gmail.com wrote:
The other way to solve this
Why you need another way? The way mentioned in the explanation is the easiest and quickest way to solve the given question. Solution doesn't even involve any calculation.

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Post Wed Apr 03, 2013 8:42 am
Quote:
If s>0 and √(r/s) = s, what is r in terms of s?

A) 1/s
B) √s
C) s√s
D) s³
E) s² - s
I would recommend straight algebra:

( √(r/s) )² = s²
r/s = s²
r = s³.

The correct answer is D.

An alternate approach is to plug in an easy value for s and solve for r.

If s=2, we get:
√(r/2) = 2.

Since √4 = 2, the value under the square root -- r/2 -- must be equal to 4:
r/2 = 4.
r = 8. This is our target.

Now we plug s=2 into the answer choices to see which yields our target of 8.
Only D works:
s³ = 2³ = 8.

For this problem, algebra seems easier and more efficient.

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Post Wed Aug 30, 2017 1:31 pm
Quote:
If s > 0 and √(r/s) = s, what is r in terms of s ?

(A) 1/s
(B) √s
(C) s√s
(D) s^3
(E) s^2 - s
Let's test some values that satisfy the given equation √(r/s) = s

For example, r = 125 and s = 5 satisfies the equation √(r/s) = s

What is r in terms of s ?
Check the answer choices to see which one yields 125 when s = 5

(A) 1/5125 ELIMINATE
(B) √5125 ELIMINATE
(C) 55125 ELIMINATE
(D) 5^3 = 125 KEEP!!
(E) 5^2 - 5125 ELIMINATE

Answer: D

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Post Wed Aug 30, 2017 5:10 pm
Brent, resurrecting threads! A GMAT expert and a necromancer ... Very Happy

Another way to do this one:

√(r/s) = s

square both sides:

r/s = s * s

multiply both sides by s:

r = s * s * s

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