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The number of times the number-key buttons of a type writer have to be pressed in order to type the fist 300 natural numbers is
1. 792
2. 684
3. 762
4. 300
5.

1 Answer

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Correct Answer - Option 1 : 792

Concept used:

The set of numbers {1, 2, 3, 4,.........} are called the natural numbers.

Calculation:

From 1 to 9,

The total numbers = 9

So,

Number of times key buttons of typewriter pressed = 9      ----(1)

From 10 to 99,

Total numbers = 90

Each number has 2 digits, so

⇒ Number of times key buttons of typewriter pressed = 2 × 90

⇒  Number of times key buttons of typewriter pressed = 180      ----(2)

From 100 to 300,

The total numbers = 201

Each number has 3 digits, so

⇒ Number of times key buttons of typewriter pressed = 201 × 3

⇒ Number of times key buttons of typewriter pressed = 603      ----(3)

Now, The total number of times key pressed on the typewriter,

⇒ 9 + 180 + 603

⇒ 792

∴ 792 times the key of a typewriter has to be pressed in order to type the first 300 letters. 

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