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01 Jun 2022, 02:00
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B
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Difficulty:
25%
(medium)
Question Stats:
73% (01:08) correct
27%
(00:54)
wrong
based on 30
sessions
History
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Time
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Not Attempted Yet
Is the integer T divisible by 15?
(1) The sum of the digits of T equals 15.
(2) The units digit of T is a 3.
(1) The sum of the digits of T equals 15.
(2) The units digit of T is a 3.
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
01 Jun 2022, 10:04
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Bunuel
Target question: Is the integer T divisible by 15?
ASIDE: 15 = (3)(5). So, in order for T to be divisible by 15, it must be divisible by 3 AND 5.
Statement 1: The sum of the digits of T equals 15.
There are several values of T that satisfy statement 1. Here are two:
Case a: If T = 690, then the answer to the target question is YES, T is divisible by 15
Case b: If T = 681, then the answer to the target question is NO, T is not divisible by 15
Since we can’t answer the target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: The units digit of T is a 3
We know that all multiples of 5 have units digit 5 or 0.
So if T has units digit 3, we can be certain that T is NOT divisible by 5, which also means T is NOT divisible by 15
Since we can answer the target question with certainty, statement 2 is SUFFICIENT
Answer: B
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