Question

Numbers ending with 0 or 5 are divisible by ________.
A. 10
B. 2
C. 5
D. 6

Answer 1

Hint: In order to solve such problems use the properties of divisibility of any number. Check for all the given options before concluding the final answer.

Complete Step-by-Step solution:
We need to find the divisibility of numbers ending with 5 or 0.
Let us check for all the options.
Option A. 10
As we know that any number will be divisible by 10 only if the number ends with a 0. So 10 will not be a correct option as numbers ending with 5 such as 25 and 35 are not divisible by 10.
Option B. 2
As we know that any number will be divisible by 2 only if the number ends with a 0, 2, 4, 6 and 8. So 2 will not be a correct option as numbers ending with 5 such as 25 and 35 are not divisible by 2.
Option C. 5
From the divisibility property of 5. As we know that all the multiples of 5 ends with a 5 or a 0 digit. So any number will be divisible by 5, if the number ends with a 0 and 5.
Option D. 6
As we know that 2 and 3 are the prime factors of 6. So, any number will be divisible by 6 only if it is divisible by both 2 and 3. As we have seen above numbers ending with 5 are not divisible by 2 so they will also not be divisible by 6.
Hence, numbers ending with 0 or 5 are divisible by 5.
So, option C is the correct answer.

Note: In order to solve such problems related to divisibility. Students must remember the divisibility test for different digits. The number is divisible by 2 if the last digit of the number is even. The number is divisible by 3 if the sum of the last two digits of the number is divisible by 3. Similarly, there are different divisibility tests for different numbers.