QUESTION

CSAT

Hard

Maths

Prelims 2016

How many numbers are there between 100 and 300 which either begin with or end with 2?

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Explanation

Numbers starting with 2:

These are the numbers from 200 to 299. Total numbers = 200 to 299 = 299 - 200 + 1 Formula: =299200+1299 - 200 + 1 Numbers ending with 2:

These numbers are 102, 112, 122, ..., 292. First term = 102, last term = 292, common difference = 10. Formula to calculate number of terms: =(292102)/10+1 (292 - 102) / 10 + 1 Overlap (number 202):

Subtract 1 for the overlap. Total count: Formula to calculate total: =(299200+1)+((292102)/10+1)1=110 (299 - 200 + 1) + ((292 - 102) / 10 + 1) - 1 = 110

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