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J is the set of positive integers less than or equal to 50, and K is

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J is the set of positive integers less than or equal to 50, and K is  [#permalink]

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New post 03 Jul 2018, 09:18
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A
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  25% (medium)

Question Stats:

80% (01:23) correct 20% (01:43) wrong based on 97 sessions

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J is the set of positive integers less than or equal to 50, and K is the set of squares of the integers in J that are also odd numbers. How many elements does the intersection of J and K contain?

A) 4
B) 7
C) 50
D) 54
E) 57

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Re: J is the set of positive integers less than or equal to 50, and K is  [#permalink]

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New post 03 Jul 2018, 09:26
Maybe I am missunderstanding something, but I am going with A, since the intersection of J and K is 1,3,5,7 (9 squared is 81 and hence not included in set J).
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Re: J is the set of positive integers less than or equal to 50, and K is  [#permalink]

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New post 03 Jul 2018, 14:58
Bunuel wrote:
J is the set of positive integers less than or equal to 50, and K is the set of squares of the integers in J that are also odd numbers. How many elements does the intersection of J and K contain?

A) 4
B) 7
C) 50
D) 54
E) 57


Given J={1,2,3,.....................,49,50}
& K={\(1^2,3^3,5^2,7^2,...........,49^2\)}={\(1,9,25,49,..............,49^2\)}

Now , J∩K={1,9,25,49}

So, #of elements in J∩K is 4.

Ans. A
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Re: J is the set of positive integers less than or equal to 50, and K is  [#permalink]

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New post 03 Jul 2018, 16:42
J = {1,2,...,49,50}
K = {1,9,25,49}

Hence, Answer: A.
Re: J is the set of positive integers less than or equal to 50, and K is &nbs [#permalink] 03 Jul 2018, 16:42
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