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Que: Find the number of keystrokes required to type numbers from 2 to 1002.

Expert replies
by Max@Math Revolution » Fri Jul 02, 2021 7:51 pm

Timer

00:00

Answers

A

B

C

D

E

Stats

Difficulty

Que: Find the number of keystrokes required to type numbers from 2 to 1002.

(A) 2,900
(B) 2,901
(C) 3,000
(D) 3,280
(E) 4,000
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Source: — Problem Solving |

Solution: The number range is from 2 to 1002.

=> One digit numbers = 2 to 9 = 8 [Will need 1 key stroke each] = 8 key strokes

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

=> Three digit numbers = 100 to 999 [Will need 3 key stroke each] = 900 * 3 = 2700 key strokes

=> Four digit numbers = 1000 to 1002 [Will need 4 key stroke each] = 3 * 4 = 12 key strokes

=> Total keystrokes = 8 + 180 + 2700 + 12 = 2900

Therefore, A is the correct answer.

Answer A
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