Question

The number of times the digit 5 will appear while writing the integers from 1 to 1000 is:
a) 269
b) 271
c) 300
d) 302​

Answer 1

Answer:

B) 271. is the correct answer

Answer 2

Answer:

c) 300 is the correct answer.

Let us count based on the position of digit 5 in a number.

Let us start with the hundred's place.

It only appears between 500–599. So that gives us 100 fives.

Moving on to ten's place,

for every set of 100 (i.e. 0–100,100–200, etc.), 5 appears 10 times each.

That is: 50,51,52…59. So that's 10(For every 100)*10(number of 100s)=10*10=100.

Now counting the one's place.

It appears 10 times every set of 100.

i.e, X05,X15,X25…..X95. (X here is the Hundred's place.)

So that accounts to 10*10=100 fives.

That brings us to a grand total of:

100+100+100=300 fives between 1 and 1000.

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