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R is the set of positive odd integers less than 50, and S is [#permalink]
 08 Mar 2011, 06:52
Question Stats:
80% (01:41) correct
19% (00:45) wrong based on 11 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 ? (A) None (B) Two (C) Four (D) Five (E) Seven
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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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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. Answer: C.
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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]
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
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Re: R is the set of positive odd integers less than 50, and S is [#permalink]
19 Mar 2013, 05:23
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Re: R is the set of positive odd integers less than 50, and S is [#permalink]
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 Answer: C
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Re: R is the set of positive odd integers less than 50, and S is
[#permalink]
19 Mar 2013, 05:26
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