R is the set of positive odd integers less than 50, and S is : GMAT Problem Solving (PS)
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# R is the set of positive odd integers less than 50, and S is

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R is the set of positive odd integers less than 50, and S is [#permalink]

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08 Mar 2011, 05:52
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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
[Reveal] Spoiler: OA
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08 Mar 2011, 06:12
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
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Kudos [?]: 90072 [1] , given: 10413

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08 Mar 2011, 06:18
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Expert's post
gmat1220 wrote:
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.

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21 Dec 2012, 18:38
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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.
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R is the set of positive odd integers less than 50, and S is [#permalink]

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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
Math Expert
Joined: 02 Sep 2009
Posts: 35932
Followers: 6855

Kudos [?]: 90072 [0], given: 10413

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

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

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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.

Solution: Four

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

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09 Mar 2016, 08:32
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Re: R is the set of positive odd integers less than 50, and S is [#permalink]

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23 Jul 2016, 06:25
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={1,3,5,7,9,11,13,15,17,19,21,..................49}
S={1,4,9,16,25,36,49................ 2401}

Common will only be
$$1^2=1$$
$$3^2=9$$
$$5^2=25$$
$$7^2=49$$

so four elements are common in both set

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Re: R is the set of positive odd integers less than 50, and S is   [#permalink] 23 Jul 2016, 06:25
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