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

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Manager
Joined: 04 Feb 2011
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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, 06:52
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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
Director
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Kudos [?]: 325 [0], given: 123

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08 Mar 2011, 07:12
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
Math Expert
Joined: 02 Sep 2009
Posts: 35311
Followers: 6646

Kudos [?]: 85799 [1] , given: 10252

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08 Mar 2011, 07:18
1
KUDOS
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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Kudos [?]: 2 [1] , given: 2

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21 Dec 2012, 19:38
1
KUDOS
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.
Manager
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Kudos [?]: 126 [0], given: 6

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

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19 Mar 2013, 05:21
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: 35311
Followers: 6646

Kudos [?]: 85799 [0], given: 10252

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

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19 Mar 2013, 05:23
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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Posts: 79
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Kudos [?]: 126 [0], given: 6

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

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19 Mar 2013, 05:26
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, 09:32
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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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, 07:25
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, 07:25
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