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MCQ - Largest Number that must be a factor of n
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28 May 2016, 23:08
28 May 2016, 23:08
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50% (00:45) wrong based on 6 sessions
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Hello All,
While solving the Primes and Divisibility chapter in 5 lb. Book for gre practice I encountered this question, whose explanation in the answer section didn't meet my understanding.
The question is:
If n is an integer and n3 is divisible by 24, what is the largest number that must be a factor of n?
A)1
B)2
C)6
D)8
E)12
It says it is divisible by 24, the minimum number that hits me is 6, because 6^3 is 216, and 216 is divisible by 24. So the maximum factor here is 6 as value of n is 6.
However, it asks for MAXIMUM factor. Picking up another value for n, i.e. 12, 12^3 is 1728 and it is also divisible by 24.The maximum factor here for n is 12. So among 6 and 12 the maximum factor is 12.
However, as per the answers the value must be 6.
Can someone please help me with the answer?
While solving the Primes and Divisibility chapter in 5 lb. Book for gre practice I encountered this question, whose explanation in the answer section didn't meet my understanding.
The question is:
If n is an integer and n3 is divisible by 24, what is the largest number that must be a factor of n?
A)1
B)2
C)6
D)8
E)12
It says it is divisible by 24, the minimum number that hits me is 6, because 6^3 is 216, and 216 is divisible by 24. So the maximum factor here is 6 as value of n is 6.
However, it asks for MAXIMUM factor. Picking up another value for n, i.e. 12, 12^3 is 1728 and it is also divisible by 24.The maximum factor here for n is 12. So among 6 and 12 the maximum factor is 12.
However, as per the answers the value must be 6.
Can someone please help me with the answer?
Re: MCQ - Largest Number that must be a factor of n
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29 May 2016, 06:17
29 May 2016, 06:17
1
n^3 can be written as 24*x = 3*(2^3)*x, for 24*x to be cube, the minimum value of x should be 3^2, so n is a multiple of 6, hence n can be divided by 2,3 and 6. As 6 is the largest number, it is the answer
Re: MCQ - Largest Number that must be a factor of n
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29 May 2016, 10:03
29 May 2016, 10:03
Expert Reply
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Adding a proper title and at least 3 tags and the OA
This helps other students to find similar post in the future.
Thank for your collaboration.
Regards
