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The number of distinct prime factors of x

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The number of distinct prime factors of x [#permalink] New post 17 Sep 2018, 20:42
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Question Stats:

59% (00:23) correct 40% (00:14) wrong based on 44 sessions


Quantity A
Quantity B
The number of distinct prime factors of x
The number of distinct prime factors of 4x


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: The number of distinct prime factors of x [#permalink] New post 17 Sep 2018, 21:40
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Carcass wrote:
Quantity A
Quantity B
The number of distinct
prime factors of x
The number of distinct
prime factors of 4x


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



We know 2 is also a prime factor

for the quantity 4x , we will always have 2(prime factor) * X

So Qty B will always have a extra prime number if x is not 2

But if x = 2 then,

QTY A = QTY B, as both of them will have only one distinct prime factor i.e. 2

Hence the option is D
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Re: The number of distinct prime factors of x [#permalink] New post 17 Nov 2019, 06:02
any other explanation?
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Re: The number of distinct prime factors of x [#permalink] New post 19 Nov 2019, 07:57
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Take x = 3
then A ==> 1(1distinct prime factor 3)
B ==> 2 (2 Distinct prime factor 2,3)

Take x = 2

then A ==> 1(1distinct prime factor 2)
B ==> 1 (1 distinct prime factor 2)

Answer is not constant.

Hence, D is the Answer.
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Re: The number of distinct prime factors of x [#permalink] New post 19 Nov 2019, 08:53
Sanpreet wrote:
Take x = 3
then A ==> 1(1distinct prime factor 3)
B ==> 2 (2 Distinct prime factor 2,3)

Take x = 2

then A ==> 1(1distinct prime factor 2)
B ==> 1 (1 distinct prime factor 2)

Answer is not constant.

Hence, D is the Answer.


THANK YOU SO MUCH.
Re: The number of distinct prime factors of x   [#permalink] 19 Nov 2019, 08:53
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