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Question

The total number of all the numbers divisible by 5, lying between 4000 and 5000 and can be formed using the digits 4,5,6,7 and 8 is :

A
125
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B
9
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C
25
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D
625
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Solution

The correct option is C 25
For a number to be divisible by 5, the units digit should be 0 or 5.
As the digits that can be used are 4,5,6,7 and 8 so the units digits will always be 5 for the number to be divisible by 5.
Also the the thousand's digits that is the left most digit will always be 4 because the number has to be between 4000 and 5000.
The unit and the thousand's digit are fixed that is they have only one option.
The other two digits can take 5 values each that is 4,5,6,7 or 8.
Hence the answer =1×5×5×1=25

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