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Que: Find the number of keystrokes required to type numbers from 1 to 900?

Expert replies
by Max@Math Revolution » Mon Jul 19, 2021 11:33 pm

Timer

00:00

Answers

A

B

C

D

E

Stats

Difficulty

Que: Find the number of keystrokes required to type numbers from 1 to 900?

(A) 2,583
(B) 2,589
(C) 2,590
(D) 2,592
(E) 2,593
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Source: — Problem Solving |

Solution: The number range is from 1 to 900.

One digit numbers = 1 to 9 = 9 [Will need 1 key stroke each] = 9 key strokes

Two digit numbers = 10 to 99 [Will need 2 key stroke each] = 90 * 2 = 180 key strokes

Three digit numbers = 100 to 900 [Will need 3 key stroke each] = 801 * 3 = 2403 key strokes

Total keystrokes = 9 + 180 + 2403 = 2592

Therefore, D is the correct answer.

Answer D
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