Question

How many multiples of 5 are there from 10 to 95?
A) 18
B) 16
C) 20
D) 17

Answer 1

Hint:
Here we will first write the basic condition for the multiple of 5. Then we will find the maximum multiple of 5 in the range and then we will find the lowest multiple of 5 in the given range. Subtracting the lowest multiple from the highest multiple of 5 between the given range to get the required number of multiples.

Complete Step by Step Solution:
The given range of numbers are 10 to 95.
As we know that the multiple of the integer 5 has the number 0 or 5 at the extreme right end or unit place.
First, we will find the maximum multiple of the number 5 in the given range. We can see that the number 95 from the given range is the multiple of 5. Therefore, we get
\[\dfrac{{95}}{5} = 19\]
So, 95 is the \[{19^{{\rm{th}}}}\] multiple of the number 5.
Now we will find the lowest multiple of 5 in the given range and we can see that the number 10 from the given range is the multiple of the number 5. Therefore, we get
\[\dfrac{{10}}{5} = 2\]
So, 10 is the \[{2^{{\rm{nd}}}}\] multiple of the number 5.
Therefore, the number of multiple of 5 in the range 10 to 95 \[ = 19 - 2 + 1 = 18\]
Hence, 18 multiples of number 5 are there in the range from 10 to 95.

So, option A is the correct option.

Note:
We know that the multiple are the numbers which when divided the number leaves zero remainder or perfect divisor of the number. Remainder is the value of the left over when a number is not exactly divided by the other number. When the other number exactly divides a number then the remainder is 0. We don’t have to confuse the multiple with the factors. Factors are the smallest numbers with which the given number is divisible and their multiplication will give the original number.