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Question 1100897: 1. Kamrul’s friends ate 1000 pizzas in Kamrul's Birthday. Every friend of Kamrul ate at least one pizza and no one ate even number of pizzas. What is maximum number of friends Kamrul have?
2.What will be the remainder if the number 20122013201420152016 is divided by
3?
3. A mobile company uses only the digits 0, 1 and 2 to make their mobile cards. If the mobile cards are of 5 digits, then how many cards can they supply to the market?
Answer by ikleyn(52786)   (Show Source):
You can put this solution on YOUR website! .
The rule of this forum is:
One and only one problem per post.
Please do not violate this rule.
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I will solve #2 for you ONLY.
The divisibility rule by 3 says:
1) an integer number is divisible by 3 if and only if the sum of its digits is divisible by 3.
2) the remainder of division of an integer number by 3 is the same as the remainder of division by 3 the sum of its digits.
The sum of digits of your number is 2+0+1+2+2+0++1+3+2+0+1+4+2+0+1+5+2+0+1+6 = 35.
This sum gives the remainder 2 when is divided by 3.
Therefore, the remainder of division the given number by 3 is 2.
Solved.
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