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If all the numbers from 501 to 700 are written, what is the total number of times does the digit 6 appear?  

(a) 138 (b) 139 (c) 140 (d) 141

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(c) For number between 600 to 700 :

Number of 6 at the units place = 10

Number of 6 at the tens place = 10

Number of 6 at the hundredth place = 100

For number between 501 to 599 :

Number of 6 at the units place = 10

Number of 6 at the tens place = 10

Hence, total number of 6 between (501 – 700)

= 10 + 10 + 100 + 10 + 10 = 140

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