Question

The number \[89715938*\] is divisible by 4. The unknown non-zero digit marked as \[(*)\] will be
A.2
B.3
C.4
D.6

Answer 1

Hint: Here, we will first use if a number with 3 or more digits is divisible by 4 if the number formed by its last two digits is divisible by 4 and then consider each option separately to check the divisibility with 4.

Complete step-by-step answer:
We are given that the number \[89715938*\] is divisible by 4.

We know that if a number with 3 or more digits is divisible by 4 if the number formed by its last two digits must be divisible by 4.

So here \[8*\] must be divisible by 4.

Consider option A, we have number 82, which is not divisible by 4.
So, option A is incorrect.

Consider option B, we have number 83, which is not divisible by 4.
So, option B is incorrect.

Consider option C, we have number 84, which is divisible by 4.
\[ \Rightarrow \dfrac{{84}}{4} = 41\]
Since when 84 divides 4, the quotient will be 21.
So, option C is correct.

Consider option D, we have number 86, which is not divisible by 4.
So, option D is incorrect.

Hence, option C is correct.

Note: Students must know the divisibility test of 4 to easily find the solution. In solving these types of questions, students must consider each option to find the correct one, else they can get confused.