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Difficulty:
35%
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Question Stats:
64% (01:20) correct
36%
(01:37)
wrong
based on 269
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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.
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
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1) sufficient, since number of factors = 2x2x2 = 8
2) sufficient, since the number of factors of 2187 can be determined.
2) sufficient, since the number of factors of 2187 can be determined.
Posts: 165
Statement 1 : Doesn't tell us anything about the power.
Statement 2 : Tells us the number of factors which is sufficent
B
Statement 2 : Tells us the number of factors which is sufficent
B
shashankism
Joined: 13 Mar 2017
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Posts: 612
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
_________________
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
_________________
Nothing is Impossible, Even Impossible says I'm possible.
vs224
Joined: 25 Jan 2013
Last visit: 05 Feb 2022
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Location: United States
Concentration: General Management, Entrepreneurship
Schools: Johnson '21
Schools: Johnson '21
Posts: 29
pandeyashwin
I agree, shouldn't correct answer be B.
ConfusedSEA
Joined: 20 Aug 2019
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Statement 1: x is the product of three distinct prime numbers
x = a * b * c
Power of a, b & c are 1 since they are prime numbers.
As x can be represented, as shown above, we know that
Number of factors of x = (1+1)(1+1)(1+1) = 8
As we got a unique value, statement 1 alone is sufficient to answer this question.
Statement 2: x and 2187 each has same number of factors
We do not need to calculate anything here.
We know that we can find the number of factors by prime factorizing 2187.
Whatever is the number of factors of 2187 will be the number of factors of x as well.
Here too, we will get a unique value
Statement 2 alone is sufficient to answer this question.
Each statement alone is sufficient
Correct Answer: Option D
x = a * b * c
Power of a, b & c are 1 since they are prime numbers.
As x can be represented, as shown above, we know that
Number of factors of x = (1+1)(1+1)(1+1) = 8
As we got a unique value, statement 1 alone is sufficient to answer this question.
Statement 2: x and 2187 each has same number of factors
We do not need to calculate anything here.
We know that we can find the number of factors by prime factorizing 2187.
Whatever is the number of factors of 2187 will be the number of factors of x as well.
Here too, we will get a unique value
Statement 2 alone is sufficient to answer this question.
Each statement alone is sufficient
Correct Answer: Option D
Posts: 8
Hi Bunuel
Shouldn't the answer to this question be B.
In A, 3 distinct prime factors are provided, but their power isn't mentioned.
Are we to assume that if Product of 3 distinct prime numbers is mentioned, then their power should be taken as 1.
Shouldn't the answer to this question be B.
In A, 3 distinct prime factors are provided, but their power isn't mentioned.
Are we to assume that if Product of 3 distinct prime numbers is mentioned, then their power should be taken as 1.
naveenban2
naveenban2 the product of 3 prime numbers simply means that X = a*b*c, where a,b and c are prime numbers. Their power is 1.
If I say that X is the product of the 2 and 4, you know that X is 8. Statement A is no different. Hope this helps!
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