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Q.  Sonia wants to purchase a pen. She has money between Rs 200 and Rs 300. The cost of the pen is divisible by 3. If she subtracts Rs 7 from the cost price, she can divide the cost of the pen by 10 and 20. If she adds Rs 3 to the cost price, the cost price is divisible by 9. How much will Sonia pay for the pen ? 

C.1.The given number is 24*23*.We know that a number is divisible by 11, if the difference of the sum of the digits at odd places and sum of the digits at even places is 0 or divisible by 11.Consider the number 241230.Sum of the digits at odd places = 2 + 1 + 3 = 6Sum of the digits at even places = 4 + 2 + 0 = 6Differerence = 6 - 6 = 0So, 241230 is  the required number that is divisible by 11.5.The given number is 113*4.A number is divisible by 8,if the number formed by last three digits i.e. hundreds digit, tens digit and ones digit, is divisible by 8.Consider the number formed by last 3 digits as 304.Now, 304 ÷ 8 = 38So, 304 is divisible by 8.Hence, 11304 is the required number that is divisible by 8.

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