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23 Oct 2023, 01:30
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Difficulty:
65%
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Question Stats:
55% (01:35) correct
45%
(01:29)
wrong
based on 143
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If A represents the tens digit and B represents the units digit in the even two-digit number AB, is AB divisible by 6?
(1) A is odd.
(2) A + B = 9
(1) A is odd.
(2) A + B = 9
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
24 Oct 2023, 00:55
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Given: AB is an even number (Or, B is even)
(1) A is odd
This can be checked easily by putting the values:
Let B = 2
12 is divisible by 6
32 is not divisible by 6
Insufficient
(2) A + B = 9
We know that a number is a multiple of 3 if the sum of digits is a multiple of 3.
Since AB is even and a multiple of 3, it is a multiple of 6.
Sufficient
Answer: (B)
(1) A is odd
This can be checked easily by putting the values:
Let B = 2
12 is divisible by 6
32 is not divisible by 6
Insufficient
(2) A + B = 9
We know that a number is a multiple of 3 if the sum of digits is a multiple of 3.
Since AB is even and a multiple of 3, it is a multiple of 6.
Sufficient
Answer: (B)
04 Sep 2025, 23:45
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AB is an even number. So, AB is divisible by 2.
Divisibility rule of 6 says the number should be divisible by both 2 and 3.
Statement 1: A is odd, NS
Statment 2: A+B = 9. We know 9 is divisible by 3. Thus, AB will be divisible by 3.
AB is not divisible by both 2 and 3, making it divisible by 6. Sufficient
Option B.:
Divisibility rule of 6 says the number should be divisible by both 2 and 3.
Statement 1: A is odd, NS
Statment 2: A+B = 9. We know 9 is divisible by 3. Thus, AB will be divisible by 3.
AB is not divisible by both 2 and 3, making it divisible by 6. Sufficient
Option B.:
