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Make a 5 digit number using each of the digits 4,5,6,7,8. Also, see that the number made shall be divisible by 132.

 Make a 5 digit number using each of the digits 4,5,6,7,8. Also, see that the number made shall be divisible by 132.

Grade:12

1 Answers

Harshit Singh
askIITians Faculty 5964 Points
9 months ago
Dear Student

132 can be written as 11 x 12 = 3 x 4 x 11

As 4 + 5+ 6+ 7+ 8 = 30, the numbers formed by the 4,5,6,7,8 are all divisible by 3.

Let’s check the divisibility by 11 and 4.

If the number is divisible by 4, then the last 2 digits of the number formed are divisible by 4.

Similarly, if the difference between the sum of digits placed at even and the sum of digits placed at odd places is divisible by 11, then the number is divisible by 11.

67584 and 57684

Thanks

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