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The number of prime numbers between 0 and 100, inclusive

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Arifa70
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The number of prime numbers between 0 and 100, inclusive [#permalink] New post   Updated on: 09 Feb 2020, 15:49
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Quantity A
Quantity B
The number of prime numbers between 0 and 100, inclusive.
The number of prime numbers between 101 and 200, inclusive.



A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
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A

Originally posted by Arifa70 on 15 Dec 2019, 01:54.
Last edited by Carcass on 09 Feb 2020, 15:49, edited 1 time in total.
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Carcass
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Re: Integer [#permalink] New post   15 Dec 2019, 02:01
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Re: Integer [#permalink] New post   09 Feb 2020, 14:41
need an explanation
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Re: Integer [#permalink] New post   09 Feb 2020, 14:59
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Arifa70 wrote:
Quantity A: The number of prime numbers between 0 and 100, inclusive.
Quantity B: The number of prime numbers between 101 and 200, inclusive.

A.The relationship cannot be determined from the information given.

B.Quantity B is greater.

C.Quantity A is greater.

D,The two quantities are equal.


Primes from 1 - 100: 2, 3, 5, 7 , 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97 (25 primes)
Primes from 2 - 100: 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199 (21 primes)

Answer: A

Cheers,
Brent
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Re: Integer [#permalink] New post   09 Feb 2020, 15:35
GreenlightTestPrep wrote:
Arifa70 wrote:
Quantity A: The number of prime numbers between 0 and 100, inclusive.
Quantity B: The number of prime numbers between 101 and 200, inclusive.

A.The relationship cannot be determined from the information given.

B.Quantity B is greater.

C.Quantity A is greater.

D,The two quantities are equal.


Primes from 1 - 100: 2, 3, 5, 7 , 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97 (25 primes)
Primes from 2 - 100: 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199 (21 primes)

Answer: A

Cheers,
Brent


Thanks for the explanation!
Do I have to learn primes till 200? or is there some trick to this question.
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Re: Integer [#permalink] New post   10 Feb 2020, 10:17
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jypya wrote:
Thanks for the explanation!
Do I have to learn primes till 200? or is there some trick to this question.


No, that's probably not necessary.
Up to 100 should be fine (aka Quantity A)

Cheers,
Brent
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Chakolate
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Re: Integer [#permalink] New post   10 Feb 2020, 13:58
jypya wrote:
need an explanation


The farther you go out (positively) on the number line, the fewer primes there are, given wide enough intervals. 100 is a wide enough interval.
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Re: The number of prime numbers between 0 and 100, inclusive [#permalink] New post   30 Mar 2021, 07:50
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Arifa70 wrote:
Quantity A
Quantity B
The number of prime numbers between 0 and 100, inclusive.
The number of prime numbers between 101 and 200, inclusive.



A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.


Remember:
\(1-50\): \(15\) primes
\(1-100\): \(25\) primes

Following \(1-100\), the primes decrease!

Hence, option A
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The number of prime numbers between 0 and 100, inclusive [#permalink] New post   18 Jul 2022, 08:17
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Rule of Prime Numbers: The Numbers of Prime Numbers in a given range reduces as we go to the right side of the number line

=> Number of Prime numbers between 0 to 100 > Number of Prime numbers between 101 to 200.
=> Quantity A > Quantity B

So, Answer will be A.
Hope it helps!

P.S.: You can also sit and count the number of prime numbers in these two ranges, but it will be very time consuming.

Watch the following video to learn How to find Prime Numbers from 1 to 100

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The number of prime numbers between 0 and 100, inclusive [#permalink]
18 Jul 2022, 08:17
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