If the number 583a4a is divisible by 6, then what is the sum of all the possible values of a?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 10.
6 = 2 × 3
Divisibility rule of 2: the last digit is even or zero
Divisibility rule of 3: the sum of the digits is divisible by 3
Sum of digits: 5 + 8 + 3 + a + 4 + a = 20 + 2a
For: a = 2 ⇒ 24 [divisible by 3]
For: a = 8 ⇒ 36 [divisible by 3]
The sum of the possible values of a = 2 + 8 = 10