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Grade 11Engineering Entrance Exams

3 digit number divisible by 3 and two digits repeated.....???

Profile image of shubham jain
13 Years agoGrade 11
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2 Answers

Profile image of Aman  Bansal
13 Years ago

DearShubham,

For the number to be divisible by 4, the number formed by the last two digits must be divisible by 4. With the digits 1 through 6, you can use the 3 last digits 24 and 6, and each of these can be combined with half of the digits to form a 2-digit number divisible by 4, so there are 9combinations for the last two digits. The other two digits can be chosen arbitrarily, so there are 36combinations for those, for a total of 9\cdot 36=324 different numbers

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Profile image of Peetala Kishore
13 Years ago

Hey

suppose 114

to test this = 1+1+4 =6 .

six is divisable by 3 so

the given number also divisable by 3.

there are 66 possiblities are there for your question.

they are = {114,117,225,228,330,336,339,441,448,552,558,660,669,771,774,882,885,990,993,996} there is also possibloe of repetitions  other are 300,600,900.


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