What is the value of x in the number 3426x if the number is divisible by 6 but NOT divisible by 5?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 6.
Divisibility by 6: A number is divisible by 6 if it is divisible by both 2 and 3.
Divisibility by 2: The last digit must be even.
Divisibility by 3: The sum of the digits must be divisible by 3.
Divisibility by 5: A number is divisible by 5 if the last digit is 0 or 5.
This means x cannot be 0 or 5.
Also, x must be an even number. So x can be 2, 4, 6, or 8.
Sum of the digits (3 + 4 + 2 + 6 + x) = 15 + x [divisible by 3]
If x = 6, then 15 + x = 15 + 6 = 21 (divisible by 3)
Hence, the value of x is 6.