CSAT Practice Questions – Divisibility Rules – Remainder Theorem

Divisibility Rules

1. A 100 digit number is formed by writing 2 for 100 times. What is the remainder when that number is divided by 3?

 
 
 
 

2. What is the remainder when 1617+3233+4849+6465 is divided by 16?

 
 
 
 

3. When 2345Q is divided 4 remainder is 1. Then what will be remainder when 2345Q is divided by 3?

 
 
 
 

4. A number X when divided by 8 remainder is 5. Then what is the remainder when the same number is divided by 4?

 
 
 
 

5. A number 523452Q when divided by 8 remainder is 1. Then what is Q?

 
 
 
 

6. What is the remainder when 38×39×40×41×42×43×44×45 is divided by 1599?

 
 
 
 

7. What is the remainder when (2322×2324)+(4645×4647)+(6968×6970) is divided by 23

 
 
 
 

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