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If P is a set of integers from 2 to 100 (Inclusive)

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If P is a set of integers from 2 to 100 (Inclusive)  [#permalink]

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New post 10 Oct 2018, 18:54
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A
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Difficulty:

  45% (medium)

Question Stats:

59% (02:21) correct 41% (02:28) wrong based on 30 sessions

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If P is a set of integers from 2 to 100 (Inclusive) and Q is another set of integers from 101 to 200 (Inclusive). Then how many elements of Q are there such that Q doesn't have any elements of P as factors?

a) 21
b) 22
c) 23
d) 24
e) 25

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Re: If P is a set of integers from 2 to 100 (Inclusive)  [#permalink]

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New post 10 Oct 2018, 19:02
Afc0892 wrote:
If P is a set of integers from 2 to 100 (Inclusive) and Q is another set of integers from 101 to 200 (Inclusive). Then how many elements of Q are there such that Q doesn't have any elements of P as factors?

a) 21
b) 22
c) 23
d) 24
e) 25


Basically question is asking how many prime number is there between 101 to 200.

Total:21 prime numbers.

I have counted and it took long time. Any shorter way to reach the answer?

Answer A IMO.



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Re: If P is a set of integers from 2 to 100 (Inclusive)  [#permalink]

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New post 10 Oct 2018, 19:10
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vishalkazone wrote:
Afc0892 wrote:
If P is a set of integers from 2 to 100 (Inclusive) and Q is another set of integers from 101 to 200 (Inclusive). Then how many elements of Q are there such that Q doesn't have any elements of P as factors?

a) 21
b) 22
c) 23
d) 24
e) 25


Basically question is asking how many prime number is there between 101 to 200.

Total:21 prime numbers.

I have counted and it took long time. Any shorter way to reach the answer?

Answer A IMO.



Sent from my iPad using GMAT Club Forum mobile app


There are 25 primes between 1-100 and 46 primes between 1-200.

168 primes between 1 to 1000. This info is enough for GMAT
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Re: If P is a set of integers from 2 to 100 (Inclusive)   [#permalink] 10 Oct 2018, 19:10
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