Q1. 
A number when divided by a divisor leaves a remainder of 24. When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor? 
A.  13 

B.  59 

C.  35 

D.  37 
Q2. 
The product of 4 consecutive even numbers is always divisible by: 
A.  600 

B.  768 

C.  864 

D.  384 
Q4. 
What number should be subtracted from $x^3+ 4x^2 7x + 12$, if it is to be perfectly divisible by $x + 3$? 
A.  42 

B.  39 

C.  13 

D.  None of these 
Q5. 
Find the remainder when $2^{89}$ is divided by $89$? 
A.  1 

B.  2 

C.  87 

D.  88 