Question

How many numbers divisible by 5 and lying between 4000 and 5000 can be formed from the digits 4, 5, 6, 7 and 8?

(a) 625 

(b) 125 

(c) 25 

(d) 20

Answer 1

(c) 25

A number between 4000 and 5000 will have a 4 in the thousand’s place and since the number has to be divisible by 5, it will have 5 at unit’s place. The hundreds’ and tens’ place each can be filled with any of the five digits. So, 

Total number of required numbers = 1 × 5 × 5 × 1 = 25.