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How many numbers lie between the largest three-digit number and the largest four-digit number which are divisible by 5?
Question

How many numbers lie between the largest three-digit number and the largest four-digit number which are divisible by 5?

A.

1900

B.

1700

C.

1800

D.

2000

Correct option is C

Given:

Largest 3-digit number = 999.

Largest 4-digit number = 9999.

Solution:
First number divisible by 5: 1000.
Last number divisible by 5: 9995.

Total numbers:

999510005+1=1800\frac{9995 - 1000}{5} + 1 = 1800 ​​

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