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GMATPrep PS Questions - Need Help

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GMATPrep PS Questions - Need Help [#permalink]

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Re: GMATPrep PS Questions - Need Help [#permalink]

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If \(n\) is multiple of \(5\), and \(n = p^2q\) where \(p\) and \(q\) are prime, which of the following must be a multiple of \(25\)?

A \(p^2\)
B. \(q^2\)
C. \(pq\)
D. \(p^2q^2\)
E. \(p^3q\)

\(n=5k\) and \(n=p^2p\), (\(p\) and \(q\) are primes).
Q: \(25m=?\)

Well obviously either \(p\) or \(q\) is \(5\). As we are asked to determine which choice MUST be multiple of \(25\), right answer choice must have BOTH, \(p\) and \(q\) in power of 2 or higher to guarantee the divisibility by \(25\). Only D offers this.

Answer: D.

If d is the standard deviation x,y,and z, what is the standard deviation of x+5, y+5, z+5

A. d
B. 3d
C. 15d
D. d+5
E. d+15

TIP:
If we add or subtract a constant to each term in a set:
Mean will increase or decrease by the same constant.
SD will not change.

If we increase or decrease each term in a set by the same percent (multiply by a constant):
Mean will increase or decrease by the same percent.
SD will increase or decrease by the same percent.

So in our case SD won't change as we are adding 5 to each term in a set --> SD=d.

Answer: A.

More about standard deviation:
math-standard-deviation-87905.html
ds-questions-about-standard-deviation-85896.html
ps-questions-about-standard-deviation-85897.html

Hope it helps.

P.S. Pleas post one question per topic.
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Re: GMATPrep PS Questions - Need Help [#permalink]

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New post 18 Sep 2017, 08:23
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Re: GMATPrep PS Questions - Need Help   [#permalink] 18 Sep 2017, 08:23
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