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The number of times the digit 5 will appear while writing the integers from 1 to 1000 is
1. 269
2. 271
3. 300
4. 302

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Correct Answer - Option 3 : 300

Calculations :

Number of 5 from 1 to 100 are 5, 15, 25, 35, 45, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 65, 75, 85, 95

Total number of 5 from 1 to 100 = 20        (55 has two 5's)

Same pattern will follow for every set of 100 numbers upto 1000 like 200 to 300, 300 to 400 ,.....900 to 1000.

But we have to include number of 5 from 500 to 599 also which are 100 in number 

So, 

Total number of 5 from 1 to 1000 = 20 × 10 + 100 

⇒ 200 + 100 

⇒ 300 

∴ Total number of 5 from 1 to 1000 are 300

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