29. Find
    (a) 4 (b) 10000

(c) (d) 39996

30. 
    

    Find log 48, if log 2= 0.3010
    and log 3= 0.4771
    (a) 1.6731 (b) 1.6811 (c) 1.6911
    (d) 1.8611

    
    


31. 
    

    If logarithm of a number of
    base √ is 6 , find the number
    (a) √ (b) √ (c) 6√ (d) 512

    
    


32. 
    

    If (^) √ x = 3^ , find x
    (a) 32 (b)^ (c) 18 (d) 24

    
    


33. 
    

    Find (^ ) (^ )

    
    

( )

(a) 1 (b) 2 (c) 3 (d)^

34. Find
    ( )( )( )( )( )( )
    (a) 7 (b) 8 (c) 2 (d) 3


35. If = 12ab, find log
    ( )
    (a)^ ( )

(b)^ ( )

(c)^ ( )

(d) None

MATRIX AND DETERMINANTS

1. For what value of x does
   ( )(
   )(
   )= (0) hold?

(a) -1 (b) 1 (c) 9/8 (d) -9/8

2. The matrix A is x rows (x+5) columns. The
   matrix B has y rows and (11-y) columns. Both
   AB and BA exist. Then the values of x and y
   respectively, are:
   (a) 8, 3 (b) 3, 4 (c) 3, 8 (d) 8, 8


3. Consider the following statements in respect
   of the square matrices A and B of same order:
   I. A and B are non-zero and AB= 0
   II. AB = 0A=0 or B=0
   Which of the above statements is/are correct?
   (a) I only (b) II only (c) Both I and II (d)
   Neither I nor II
   4. If A= 0 1 , B= 0 1 and A+B= 0 1 ,
   then the value of x must be:
   (a) 6 (b) 1 (c) 0 (d) - 1
   5. If the matrix
   A= [
   ] is singular, then what
   is the solution set S?
   (a) S= {0, 2, 3} (b)S= {-1, 2, 3} (c) S= {1, 2, 3}
   (d) S= {2, 3}
   6. If A= 0 1 and B= 0 1 , then 3A-
   2B is the matrix:
   (a) 0 1 (b) 0 1 (c)
   0 1 (d) 0 1