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

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J is the set of positive integers less than or equal to 50 [#permalink] New post 01 May 2018, 11:32
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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
[Reveal] Spoiler: OA
Manager
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Kudos [?]: 104 [0], given: 3

Re: J is the set of positive integers less than or equal to 50 [#permalink] New post 02 May 2018, 04:15
I think the answer options given are wrong. Answer would be 25 as all even numbers when squared give even number and odd numbers when squared give odd. Hence 25 should be the answer.
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Kudos [?]: 31 [0], given: 5

Re: J is the set of positive integers less than or equal to 50 [#permalink] New post 02 May 2018, 11:49
mohan514 wrote:
I think the answer options given are wrong. Answer would be 25 as all even numbers when squared give even number and odd numbers when squared give odd. Hence 25 should be the answer.

@mohan514
Please see that the question asked how many elements does the intersection of J and K contain?
So basically Set K={1,9,25,49,81,..,\(49^2\)}
Set J has numbers starting from 1 to 50. Hence intersection of both sets will be {1,9,25,49}
So Answer is 4

Hope this helps
Re: J is the set of positive integers less than or equal to 50   [#permalink] 02 May 2018, 11:49
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J is the set of positive integers less than or equal to 50

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