Question

If 65x is a three-digit number and it is divisible by 6, what can be the value of the digit x?

Q: Answer-If 65x is a three-digit number and it is divisible by 6, what can be the value of the digit x?

If a number is divisible by 6, it must be divisible by both 2 and 3 In 65x, if this number is divisible by 2, the value of x must be even. So, it can be 0,2,4,6 or 8 65x is divisible by 3, If sum of its digits is a multiple of 3 65x 11x, if we put x 0, 11011, not a multiple of 3 If put x 2, 11213 not a multiple of 3 If put x 4, 11415, is a multiple of 3 If put x 6, 11617, not a multiple of 3 If put x 8, 11819, not a multiple of 3 The value of x is 4.