Randomly Generated Mathematics multiple choice Practice Exam
Grade: 12
Number of questions: 10

1. If then what is the limit of the sequence
     
     
   0   
     

2. Look at the following grapgh of f'( (x).

Which of the following is true about f?
   f is decreasing of [b,c]   
   f is increasing on [c,d]   
   f has a local minimum at d   
   f has a local extreme value at c.  

3. A three- digited library identification card is to be printed from the
number 0,1,2,3,4,5 in such a way that the first is non-zero and no
number is to be repeated. How many such cards can be printed?
   120   
   150   
   180   
   100   

4. Which one of the following is NOT correct identity?
   sin4 -cos4x= sin2 -cos2x   
     
   sin x cos2 x - sinx= -sin3x   
     

5. Let
What is the value of a if f is continuous at x =1?
   2   
   8  
   0   
   4   

6. The volume of the solid which is generated when the region bounded by
and the x-axis from x=0 to x=2 is rotated about the
x-axis is equal to
     
   4   
   3   
     

7. Which of the following is a simplified form of
   2cos x   
   Cos2x   
   2 sin x   
   sin 2x  

8. Suppose divisible by 2. Which of the following has the truth value F on the set of natural numbers?
     
     
     
     

9. Which of the following is NOT true about
   The graph off is symmetric with respect to the y-axis  
   Range of   
   The graph off has no vertical asymptote.   
   y= -2 is a horizontal asymptote to the graph of f.   

10. If the line is tangent to the sphere whose
equation is: (x + 1) 2 + y2 + z2 =4, then what is the distance of the line
from the center of the sphere?
   4   
     
   2   
   3   



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