Question

How many numbers between 1 and 300 are divisible by 3 and 5 together.

Answer 1

Step-by-step explanation:

Thus, we can see that 3*100 = 300 and 3*1 = 3. Thus, 98 numbers lie in between 1 and 300 (excluding both of 1 and 300)which are divisible by 3. Same way, 5*1 = 5and 5*60 = 300.......

Thus 58 numbers lie between 1 and 300 divisible by 5.

PLEASE MAKE THIS ANSWER THE BRAINLIEST OF ALL.....

Answer 2

Given:

The set of numbers between 1 and 300.

To Find:

The total quantity of numbers which are divisible by 3 and 5 together between 1 and 300 is?

Solution:

The given problem can be solved using the concepts of Arithmetic Progression.

1. If a number is divisible by 3 and 5 then, the number is also divisible by 15.

2. A number is said to be divisible by 3 if the sum of the digits of the number is also a multiple of 3.

3. A number is said to be divisible by 5 if the units digit of the number is either 0 or 5.

4. The series of numbers between 1 and 300 which are divisible by 15 will be: 15, 30, 45, 60,.., 285.

=> First term = 15,

=> Common Difference = 15,

=> Last term = 285.

5. The nth term of an A.P is given by the formula,

=> Tn = a + (n-1)d.

6. Substitute the data in the above formula,

=> 285 = 15 + (n-1)15,

=> 285-15 = (n-1)15,

=> 270/15 = n - 1,

=> 18 = n - 1,

=> n = 18 + 1,

=> n = 19.

Therefore, the total number of terms are 19.