What is the least value of x for which the number 712x816 is divisible by 12?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 2.
The number 712x816 is divisible by 12
Concept used
⇒ Divisibility rule of 12 = the number should be divisible by 4 and 3
⇒ Divisibility rule of 4 = the last two digit is divided by 4 then the number is divisible by 4
⇒ Divisibility rule of 3 = the sum of digits are divisible by 3 then the number is divisible by 3
⇒ last two digit = 16 is divided by 4,
⇒ The sum of digits = 7 + 1 + 2 + x+ 8 + 1 + 6 = 25 + x , For divisible by 3, x = 2
Hence, the required value of x is 2