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07 Feb 2021, 10:22
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A
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Difficulty:
75%
(hard)
Question Stats:
47% (01:47) correct
53%
(01:35)
wrong
based on 96
sessions
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Not Attempted Yet
If n is an integer, is the sum of all of n's divisors, which are not equal to n or equal to one, greater than 100?
(1) 3 and 96 are divisors of n that are neither equal to n nor equal to one.
(2) 3 and 97 are divisors of n that are neither equal to n nor equal to one.
(1) 3 and 96 are divisors of n that are neither equal to n nor equal to one.
(2) 3 and 97 are divisors of n that are neither equal to n nor equal to one.
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
07 Feb 2021, 11:34
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If n is an integer, is the sum of all of n's divisors, which are not equal to n or equal to one, greater than 100?
(1) 3 and 96 are divisors of n that are neither equal to n nor equal to one.
We are given two factors, but all factors of 96 will also be factors of n.
That is, 6,12,48 etc will also be divisors of n. Sum = 96*3+48+...>100
Sufficient
(2) 3 and 97 are divisors of n that are neither equal to n nor equal to one.
Now 97 is prime, so the number can just be 3*97. Sum =3+97=100.....Answer is NO
But say the number is 3*97*100....answer is YES
Insufficient
A
(1) 3 and 96 are divisors of n that are neither equal to n nor equal to one.
We are given two factors, but all factors of 96 will also be factors of n.
That is, 6,12,48 etc will also be divisors of n. Sum = 96*3+48+...>100
Sufficient
(2) 3 and 97 are divisors of n that are neither equal to n nor equal to one.
Now 97 is prime, so the number can just be 3*97. Sum =3+97=100.....Answer is NO
But say the number is 3*97*100....answer is YES
Insufficient
A
07 Aug 2024, 19:35
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