Question

How many number of times will the digit 7 be written when listing the integers from 1 to 1000?
A.271
B.300
C.252
D.304

Answer 1

Answer:

Many approaches are possible. For example:

Consider numbers from 0 to 999 written as follows:

1. 000

2. 001

3. 002

4. 003

...

...

...

1000. 999

We have 1000 numbers. We used 3 digits per number, hence used total of 3*1000=3000 digits. Now, why should ANY digit have preferences over another? We used each of 10 digits equal # of times, thus we used each digit (including 7) 3000/10=300 times.

The answer B is correct

Answer 2

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[B] $\bf {\underline{300}}$

Round off the number to 1000
1000×3 =>>>3000
Equalising it to 3000/3
=>>>>>300 times
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