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How many whole numbers between 0 and 999 contain the digit ‘5’?
1. 260
2. 280
3. 271
4. 252

1 Answer

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Best answer
Correct Answer - Option 3 : 271

Calculation:

Total numbers having 5 as a digit from 0 - 49 = 5

Total numbers having 5 as a digit from 50 - 59 = 10

Total numbers having 5 as a digit from 60 - 99 = 4

Total number having 5 as a digit from 0 - 99 = 19     ----(i)

Similarly, Total numbers having 5 as a digit from 100 - 499 = 19 × 4 = 76    ----(ii)

Total number having 5 as a digit from 500 - 599 = 100    ----(iii)

Similarly, Total numbers having 5 as a digit from 600 - 999 = 19 × 4 = 76    ----(iv)

From (i), (ii), (iii) and (iv) we get 

∴ Whole numbers between 0 and 999 contain the digit ‘5’ = 19 + 76 + 100 + 76

⇒ 271.

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