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J is the set of positive integers less than or equal to 50
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01 May 2018, 11:32
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Question Stats:
71% (01:11) correct
28% (01:36) wrong based on 14 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?
Re: J is the set of positive integers less than or equal to 50
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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.
Re: J is the set of positive integers less than or equal to 50
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02 May 2018, 11:49
1
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
Re: J is the set of positive integers less than or equal to 50
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08 Sep 2021, 03:15
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep 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: J is the set of positive integers less than or equal to 50 [#permalink]