Friday, September 26, 2014

numbers, JMO

Nanu wrote all the numbers from 200 to 300. Then she started counting the number of two's that has been used while writing all these numbers. What is the number that she will get?




Answers:

between 200  and 300 there are (300 - 200 + 1 = 101 numbers)

in the 100th place (including 200), there are (299 - 200 + 1 = 100 numbers)

in the 10's place there are 229 - 220 + 1 = 10 numbers

in the unit's place there are (202, 212, 222, 232.... 292 = 10 numbers)

so, total number of 2's between 200 and 300 = 100 + 10 + 10 = 120

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