Find the sum of the greatest and the smallest number which may replace k in the number 3281k6 to make the number divisible by 6.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 8
Concept used:
When a number is divisible by 6, it is divisible by both 2 and 3.
Calculations:
When a number is divisible by 2, last digit should be even
When a number is divisible by 3, sum of digits of the number should be divisible by 3.
Divisible by 3 = 3 + 2 + 8 + 1 + k + 6 = 20 + k
For minimum value of k = 1
= 20 + 1 = 21
For maximum value of k = 7
= 20 + 7 = 27
Sum = minimum + maximum = 1 + 7 = 8