## 1. A 9 digit number in which zero does not appear and no digits are repeated has the following properties: The number comprising the left most two digits is divisible by 2, that comprising the left most three digits is divisible by 3, and so on

## 2. The remainder obtained when any prime number greater than 6 is divided by 6 must be :

## 3. The smallest number which must be subtracted from 8112 to make it exactly divisible by 99 is :

## 4. If the sum of two numbers is 14 and their difference is 10, find the product of these two numbers.

## 5. The greatest number by which the product of three consecutive multiples of 3 is always divisible is :

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