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01 Aug 2022, 09:02
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A
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Difficulty:
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53% (01:27) correct
47%
(01:40)
wrong
based on 99
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If k and m are positive integers, does k/m = 3/13?
(1) k is a prime number greater than 10.
(2) m is divisible by 3
(1) k is a prime number greater than 10.
(2) m is divisible by 3
01 Aug 2022, 09:24
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given that k & m are +ve integers
target is k/m is 3/13
possible when either k or m have a common factor
#1
k is a prime number greater than 10.
K = 11,13,17..
sufficient to say no to target as k/m will not be 3/13
#2
m is divisible by 3
if m=3 * 13 k is 9 then yes to target ; or else target will be no when k is any other value
insufficient
OPTION A is correct
target is k/m is 3/13
possible when either k or m have a common factor
#1
k is a prime number greater than 10.
K = 11,13,17..
sufficient to say no to target as k/m will not be 3/13
#2
m is divisible by 3
if m=3 * 13 k is 9 then yes to target ; or else target will be no when k is any other value
insufficient
OPTION A is correct
BrentGMATPrepNow
If k and m are positive integers, does k/m = 3/13?
(1) k is a prime number greater than 10.
(2) m is divisible by 3
(1) k is a prime number greater than 10.
(2) m is divisible by 3
02 Aug 2022, 08:15
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BrentGMATPrepNow
If k and m are positive integers, does k/m = 3/13?
(1) k is a prime number greater than 10.
(2) m is divisible by 3
Given: k and m are positive integers (1) k is a prime number greater than 10.
(2) m is divisible by 3
Target question: Does k/m = 3/13?
Key concept: If k/m = 3/13, then k must be a positive multiple of 3, and m must be a positive multiple of 13.
So, for example, it could be the case that k = 3 & m = 13, or k = 6 & m = 26, or k = 9 & m = 39, and so on . . .
Statement 1: k is a prime number greater than 10
If k is a prime number greater than 10, then k cannot be a positive multiple of 3, which means k/m cannot equal 3/13.
So, the answer to the target question is NO, k/m does not equal 3/13
Statement 1 is SUFFICIENT
Statement 2: m is divisible by 3
There are several values of k and m that satisfy statement 2. Here are two:
Case a: k = 1 and m = 3, in which case, the answer to the target question is NO, k/m does not equal 3/13
Case b: k = 9 and m = 39, in which case, the answer to the target question is YES, k/m = 3/13
Since we can’t answer the target question with certainty, statement 2 is NOT SUFFICIENT
Answer: A
