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The least number of five digits which is exactly divisible by 75 is:
Question

The least number of five digits which is exactly divisible by 75 is:

A.

10050

B.

10025

C.

10015

D.

10040

Correct option is A

Given:

least five-digit number that is exactly divisible by 75.

Concept Used:

Divisibility

Least multiple greater than a given number

Formula Used:

Least required number = ⌈(Smallest five-digit number ÷ divisor)⌉ × divisor

Solution:

Smallest five-digit number = 10000

Divide by 75:

10000 ÷ 75 = 133.33

Next whole number = 134

Now

134 × 75 = 10050

Thus, Least number = 10050

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