Number System Model 3

Examples forNumber Systems 

13.What is the smallest number that should be added to 89357 to make it exactly divisible by 9? 

1) 1 2) 3 3) 4 4) 7 5) None of these 

14.Which smallest number should be added to 86237 to make it exactly divisible by 9? 

1) 11 2) 9 3) 10 4) 2 5) None of these 

15.What is the smallest digit which should replace * in the number 296*12 to make it divisible by 12? 

1) 1 2) 2 3) 3 4) 4 5) None of these 

16. What is the smallest positive integer that should be added to 7000 to make it a perfect square? 

1)35 2)225 3)20 4) 56 5) None of these 

For this model first you remember Divisibility Rules. Click Here for Divisibility Rules

Example 13.

Explanation:

Here The divisibility rule for 9 is "the sum of the digits is divisible by 9"   then the number is divisible by 9.

The number is 89357. 

the sum of the digits are 8 + 9 + 3 + 5 + 7 = 32 

32 is not divisible by 9, the nearest number divisible by 9 is 36, Here we add 4 for sum of digits then it is divisible by 9. for the given question The smallest number should be added to 89357 is 4.

Note: the number which is divisible by 9( nearest number) is not less than the sum of the digits.

Number System Model 1
Number System Model 2
Number System Model 4
Number System Model 5
Number System Model 6