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If P is a set of integers from 2 to 100 (Inclusive) 10 Oct 2018, 18:54
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75% (hard)

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46% (01:51) correct 54% (02:17) wrong based on 122 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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A
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If P is a set of integers from 2 to 100 (Inclusive) 10 Oct 2018, 19:02
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Afc0892
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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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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If P is a set of integers from 2 to 100 (Inclusive) 10 Oct 2018, 19:10
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vishalkazone
Afc0892
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
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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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If P is a set of integers from 2 to 100 (Inclusive) 06 Nov 2020, 10:11
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Chethan92

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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You'd never need to know any of these things to answer a real GMAT question. This question:

Chethan92
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?
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is miles out of scope for the GMAT. It also doesn't even make sense. It asks for elements of Q "such that Q doesn't have any elements of P as factors". But "Q" is a set. It's not a number. I don't even know what the question could mean. I imagine the intended meaning is "how many elements of Q are not divisible by any element in P", but that's not what the question says. It also needs to say that P is *the* set of integers from 2 to 100 inclusive, not "a" set, because {2, 3, 100} is, for example, "a set" of integers from 2 to 100 inclusive. As written, we don't even know what the sets P and Q are, so we can't answer a question about them.

What is the source? There's no reason anyone preparing for the GMAT should look at this question.
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If P is a set of integers from 2 to 100 (Inclusive) 11 May 2024, 05:56
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