Question

If 31z4 is a multiple of 6,where Z is a digit what might be the value of Z?

Answer 1

Answer:

Z = 1, 4, 7

Explanation:

FOR 31Z4 TO BE DIVISIBLE BY 6, IT SHOULD BE DIVISIBLE BY BOTH 2 AND 3.

31Z4 ENDS WITH 4 SO IT IS DIVISIBLE BY 2.

FOR IT TO BE DIVISIBLE BY 3, SUM OF DIGITS SHOUD BE DIVISIBLE BY 3.

3 + 1 + Z + 4 IS DIVISIBLE BY 3.

SO,                 3 + 1 + 1 + 4 = 9 IS DIVISBLE BY 3.

                      3 + 1 + 4 + 4 = 12 IS DIVISIBLE BY 3.

                      3 + 1 + 7 + 4 = 15 IS DIVISIBLE BY 3.