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If x is an integer, then x is divisible by how many positive integers?

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If x is an integer, then x is divisible by how many positive integers?  [#permalink]

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New post 08 Dec 2018, 09:01
1
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A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

57% (00:32) correct 43% (00:53) wrong based on 42 sessions

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GMATbuster's Weekly Quant Quiz#12 Ques #2


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If x is an integer, then x is divisible by how many positive integers?

(1) x is the product of three distinct prime numbers.

(2) x and 2187 each have the same number of factors.

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Re: If x is an integer, then x is divisible by how many positive integers?  [#permalink]

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New post 08 Dec 2018, 09:17
1) sufficient, since number of factors = 2x2x2 = 8
2) sufficient, since the number of factors of 2187 can be determined.
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Re: If x is an integer, then x is divisible by how many positive integers?  [#permalink]

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New post 08 Dec 2018, 22:02
Statement 1 : Doesn't tell us anything about the power.
Statement 2 : Tells us the number of factors which is sufficent

B
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Re: If x is an integer, then x is divisible by how many positive integers?  [#permalink]

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New post 09 Dec 2018, 07:52
Given : x is an integer,
Question : x is divisible by how many positive integers.

Statement 1 : x is the product of three distinct prime numbers.
So, x = a*b*c where a, b,c are prime numbers
So, total number of divisors =(1+1)(1+1)(1+1) = 8
Sufficient

(2) x and 2187 each have the same number of factors.
2187= 3^7
Total number of factors = (1+7)
Sufficient

Answer D
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Re: If x is an integer, then x is divisible by how many positive integers?  [#permalink]

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New post 24 Dec 2018, 14:50
pandeyashwin wrote:
Statement 1 : Doesn't tell us anything about the power.
Statement 2 : Tells us the number of factors which is sufficent

B

I agree, shouldn't correct answer be B.
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Re: If x is an integer, then x is divisible by how many positive integers? &nbs [#permalink] 24 Dec 2018, 14:50
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If x is an integer, then x is divisible by how many positive integers?

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