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Difficulty:
75%
(hard)
Question Stats:
50% (01:40) correct
50%
(02:07)
wrong
based on 108
sessions
History
Date
Time
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Not Attempted Yet
If x is an integer, does it have more than 2 prime factors?
(1) The number of prime factors of 16x is one more than the number of prime factors of x^4
(2) 2x^16 has 2 prime factors
a) Statement 1) ALONE is sufficient but statement 2) ALONE isn't sufficient
b) Statement 2) ALONE is sufficient but statement 1) ALONE isn't sufficient
c) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
d) EACH statement ALONE is sufficient
e) Statements 1) and 2) TOGETHER are not sufficient
(1) The number of prime factors of 16x is one more than the number of prime factors of x^4
(2) 2x^16 has 2 prime factors
a) Statement 1) ALONE is sufficient but statement 2) ALONE isn't sufficient
b) Statement 2) ALONE is sufficient but statement 1) ALONE isn't sufficient
c) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
d) EACH statement ALONE is sufficient
e) Statements 1) and 2) TOGETHER are not sufficient
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
21 Nov 2023, 02:41
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If x is an integer, does it have more than 2 prime factors?
A simple YES or NO question. Are number of prime factors > 2?
(1) The number of prime factors of 16x is one more than the number of prime factors of x^4
Just tells us that x does not contain prime factor 2.
Insufficient
(2) 2x^16 has 2 prime factors
As x is an integer, x could also have two prime factors, 2 and y.
Or, x could be a prime factor itself other than 2.
In either case, the number of prime factors cannot be more than 2.
Sufficient
B
A simple YES or NO question. Are number of prime factors > 2?
(1) The number of prime factors of 16x is one more than the number of prime factors of x^4
Just tells us that x does not contain prime factor 2.
Insufficient
(2) 2x^16 has 2 prime factors
As x is an integer, x could also have two prime factors, 2 and y.
Or, x could be a prime factor itself other than 2.
In either case, the number of prime factors cannot be more than 2.
Sufficient
B
12 Dec 2024, 06:09
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