Question

How many numbers between 900 and 1000 are divisible by 13?

• A. 9
• B. 11
• C. 8
• D. 7

Answer 1

The Correct Option is D

Find the smallest number greater than 900 that is divisible by 13: \[ \frac{900}{13} \approx 69.23 \quad \Rightarrow \quad 13 \times 70 = 910 \] Find the largest number less than 1000 that is divisible by 13: \[ \frac{1000}{13} \approx 76.92 \quad \Rightarrow \quad 13 \times 76 = 988 \] The numbers divisible by 13 between 900 and 1000 are: 910, 923, 936, 949, 962, 975, 988. Thus, there are 7 numbers. 
To find how many numbers are divisible by a number in a range, find the first and last multiples and count the number of multiples in between.