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R is the set of positive odd integers less than 50, and S is [#permalink]
08 Mar 2011, 05:52

00:00

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C

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Difficulty:

5% (low)

Question Stats:

87% (01:40) correct
13% (00:34) wrong based on 87 sessions

R is the set of positive odd integers less than 50, and S is the set of the squares of the integers in R. How many elements does the intersection of R and S contain ?

squares < 50 {1,4,9,16,25,36,49 } S = {1,9,25,49} R = {1,3,.....49} Hence C.

Lolaergasheva wrote:

R is the set of positive odd integers less than 50, and S is the set of the squares of the integers in R. How many elements does the intersection of R and S contain ? (A) None (B) Two (C) Four (D) Five (E) Seven

squares < 50 {1,4,9,16,25,36,49 } S = {1,9,25,49} R = {1,3,.....49} Hence C.

Lolaergasheva wrote:

R is the set of positive odd integers less than 50, and S is the set of the squares of the integers in R. How many elements does the intersection of R and S contain ? (A) None (B) Two (C) Four (D) Five (E) Seven

R is the set of positive odd integers less than 50: R={1, 3, 5, ..., 49} S is the set of the squares of the integers in R: S={1^2, 3^2, 5^2, ..., 49^2}={1, 9, 25, 49, 81, 121, ..., 2401}

The intersection of R and S contains the odd perfect squares which are less than 50: 1^2=1, 3^2=29, 5^2=25, and 7^2=49.

simple question, but let's solve it in a GMAT way - with out writing any numbers/sets down

Given, R is set of positive ODD integers < 50 S is set of squares of integers in R

now, we know that all numbers in R are ODD. square of an ODD number is ODD. the qtn is what are the ODD and PERFECT squares < 50. 1, 3,25, and 49...i hope you got what i mean and why i solved this in this way. This is a simple question but solving this question in this way would help us solve 700+ level questions.

R is the set of positive odd integers less than 50, and S is [#permalink]
19 Mar 2013, 04:21

R is the set of positive odd integers less than 50, and S is the set of the squares of the integers in R. How many elements does the intersection of R and S contain?

A. None B. Two C. Four D. Five E. Seven _________________

More:"All I wish someone had told me about GMAT beforehand" There are many things you want to know before doing the GMAT exam (how is exam day, what to expect, how to think, to do's...), and you have them in this blog, in a simple way

Re: R is the set of positive odd integers less than 50, and S is [#permalink]
19 Mar 2013, 04:23

Expert's post

johnwesley wrote:

R is the set of positive odd integers less than 50, and S is the set of the squares of the integers in R. How many elements does the intersection of R and S contain?

A. None B. Two C. Four D. Five E. Seven

Merging similar topics. Please refer to the solutions above. _________________

Re: R is the set of positive odd integers less than 50, and S is [#permalink]
19 Mar 2013, 04:26

R is the set of positive odd integers less than 50, and S is the set of the squares of the integers in R. How many elements does the intersection of R and S contain?

R=1,3,5,7,9,11,13,15...

S=1,9,25,49,81...

Numbers: 1, 9, 25, and 49 are odd integers (less than 50) that are in both sets.

More:"All I wish someone had told me about GMAT beforehand" There are many things you want to know before doing the GMAT exam (how is exam day, what to expect, how to think, to do's...), and you have them in this blog, in a simple way

gmatclubot

Re: R is the set of positive odd integers less than 50, and S is
[#permalink]
19 Mar 2013, 04:26

I couldn’t help myself but stay impressed. young leader who can now basically speak Chinese and handle things alone (I’m Korean Canadian by the way, so...