Question

.Find the missing digit to make the number 865 ___ divisible by 6.

A.
7

B.
8

C.
3

D.
5
pls answer

Answer 1

Given:

Find the missing digit to make the number 865 ___ divisible by 6.

(A) 7  (B) 8  (C) 3  (D) 5

ANSWER: Option (B) 8

Step-by-step explanation:

865 ___

we need to fill the blank with the number that is missing.

It is given that the number should be divisible by 6.

Divisibility rule of 6:

• The number is divisible by 6 if it is divisible by 2 and 3.

Divisibility rule of 2:

• The number is divisible by 2 if the last digit is an even number.

Divisibility rule of 3:

• The number is divisible by 3 if the sum of its digits is divisible by 3.

Among the given options, 8 is an even number. 8658 is divisible by 2.

Checking the divisibility of 3:

8 + 6 + 5 + 8 = 27. The number 27 is divisible by 3 so 8658 is also divisible by 3.

Hence, we need to fill the blank with the number 8.