Question

Which of the following numbers is divisible by 15?
A.30560
B.29515
C.23755
D.17325

Answer 1

Hint: In this question, we need to select from the options that which of the number(s) is/are divisible by 15. For this, we will use the concept of the divisibility rule of 15 and check each of the given options one by one.

Complete step-by-step answer:
According to the divisibility rule of 15, a number is divisible by 15 if the number is divisible by 3 and 5 both. So, we need to check the divisibility of the numbers by 5 and 3.
According to the divisibility rule of 5, a number is divisible by 5 if the number is ending with either 0 or 5.
According to the divisibility rule of 3, a number is divisible by 3 if the summation of the digit of the number is divisible by 3.
Now, we need to check the options one by one for the divisibility by 3 and 5.
A.30560
As the number is ending with 0 so, we can say that the number is divisible by 5.
Summation of the digits of the number 30560 is, $ 3+0+5+6+0=14 $ and 14 is not divisible by 3 so, the given number is not divisible by 3 and consequently not divisible by 15 also.
B.29515
As the number is ending with 5 so, we can say that the number is divisible by 5.
Summation of the digits of the number 29515 is, $ 2+9+5+1+5=22 $ and 22 is not divisible by 3 so, the given number is not divisible by 3 and consequently not divisible by 15 also.
C.23755
As the number is ending with 5 so, we can say that the number is divisible by 5.
Summation of the digits of the number 23755 is, $ 2+3+7+5+5=22 $ and 22 is not divisible by 3 so, the given number is not divisible by 3 and consequently not divisible by 15 also.
D.17325
As the number is ending with 5 so, we can say that the number is divisible by 5.
Summation of the digits of the number 17325 is, $ 1+7+3+2+5=18 $ and 18 is divisible by 3 so, the given number is also divisible by 3 and consequently 17325 is divisible by 15 also.
Hence, 17325 is divisible by 15.
Option D is correct.

So, the correct answer is “Option D”.

Note: Divisibility rule of the numbers plays an important role to decide whether the given number is divisible or not. However, this type of questions can also be solved by using the long division method, if the remainder on dividing the terms is zero then, we can say that the number is divible.