CSAT Practice Questions – Divisibility Rules

1. Consider the following statements and conclusion

Statement 1: The number is divisible by 9

Statement 2: The number is divisible by 4

Conclusion 1: The number is divisible by 3

Conclusion 2: The number is divisible by 6

Conclusion 3: The number is divisible by 8

How many of the above conclusions drawn from the given statements are correct?

 
 
 
 

2. The number 21A35B4 is divisible by 3, where A and B are non-zero digits. Then what is the maximum possible value for A+B.

 
 
 
 

3. A two digit number ‘X’ is divisible by 2, 3 and 5. Then which of the following is definitely wrong about ‘X’?

 
 
 
 

4. How many three-digit numbers divisible by 4 can be formed using digits 5, 4, 2 and 1 without repetition of digits?

 
 
 
 

5. The number 24A5B is divisible by 6. A and B are distinct non-zero digits. If A is an odd digit, then how many possible values are there for A+B?

 
 
 
 

6. The sum of a two digit number and the number formed by reversing its digits is S. Then which of the following statements are always true?

Statement 1: S is divisible by 9

Statement 2: S is divisible by 11

Statement 3: S is divisible by sum of digits of the number.

 
 
 
 

7. The number 86A4 is divisible by 7. Then how many values of A are possible?

 
 
 
 

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