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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. # p and q are different prime numbers. r is the least prime nu  Question banks Downloads My Bookmarks Reviews Important topics
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Founder  Joined: 18 Apr 2015
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p and q are different prime numbers. r is the least prime nu [#permalink]
Expert's post 00:00

Question Stats: 63% (01:15) correct 36% (01:30) wrong based on 19 sessions
p and q are different prime numbers. r is the least prime number greater than p, and s is the least prime number greater than q.

 Quantity A Quantity B $$r - p$$ $$s - q$$

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

_________________ Director  Joined: 07 Jan 2018
Posts: 642
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Kudos [?]: 593  , given: 88

Re: p and q are different prime numbers. r is the least prime nu [#permalink]
1
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Explanation

Nice way to tackle this problem is to notice that the difference between two set of prime numbers can be same and it may not be same as well.

For eg.
take $$P =2$$
and $$r =3$$
so, $$r-s = 3-2 =1$$

now take $$q = 5$$
and $$s = 7$$
$$s-q = 2$$
A<B
However realize that many difference between two subsequent prime numbers can give a difference of $$2$$ for eg. $$(11,13); (17,19); (41,43)$$
option D
_________________

This is my response to the question and may be incorrect. Feel free to rectify any mistakes Re: p and q are different prime numbers. r is the least prime nu   [#permalink] 20 Mar 2018, 23:30
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