## Fun with Numbers – LR Set

A 10-digit number is defined in such a way that the first digit is the number of zeros in the number; the second digit is the number of 1s in the number and so on until the tenth digit which is the number of 9s in the number.

Example, in 1210, a 4 digit number, the first digit 1 represents the number of zeros in the number, while the second digit 2 is the number of 1s in the number, the third digit(1) is the number of 2s and fourth digit(0) is the number of 4s in the number.

What is the sum of the digits of this number?

a) 12 b)15 c)8 d)10

How many zeros are there in this number?

a) 4 b)5 c)6 d)7

What is the highest power of 5 that divides this number?

a)5 b)4 c)3 d)2

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