This document contains 20 multiple choice questions about mathematics concepts such as complex numbers, matrices, trigonometry, and probability. It also provides information about PAKTURK, an educational website, and contact details for any questions. The questions cover a range of math topics that would be helpful for exam preparation.

1. PAKTURK Success is a ladder you cannot climb with your hands in your pockets 1
For more news and updates visit pakturkmaths.com
CLASS
XI
For any question mail us at info@pakturkmaths.com
Composed by Engin Baştürk FEDERAL BOARD
TYPE Objective Past Papers Year 2013-2
Q1: Multiplicative inverse of non zero complex number
 ,a b is:
A) 2 2 2 2
,
a b
a b a b
 
 
  
B) 2 2 2 2
,
a b
a b a b
 
 
  
C) 2 2 2 2
,
a b
a b a b
 
 
  
D) 2 2 2 2
,
a b
a b a b
  
 
  
Q2: If 2 3z i   , then z z is:
A) 4 B) 6i C) 6i D) 4i
Q3: Contra positive of p q is:
A) q p B) p q
C) q p D) None of these
Q4: The set  1, 1, ,i i  possess Closure Property with
respect to:
A) Addition B) Multiplication
C) Division D) Subtraction
Q5: If all elements in a square matrix ijA a    below the
principal diagonal are zero i.e. 0ija i j      is called:
A) Upper Triangular Matrix B) Triangular Matrix
C) Lower Triangular Matrix D) None of these
Q6: In a square matrix ijA a    , if 0ija i j   and
ija K , then matrix A is called:
A) Diagonal Matrix B) Scalar Matrix
C) Unit Matrix D) Null Matrix
Q7:    1 1 i i     is:
A) 1 B) i C) i D) 1
Q8: If Discriminant 2
4b ac is a perfect square, then roots
are:
A) Irrational B) Rational
C) Imaginary D) Repeated Equal
Q9: If 1 2n na a n   and 1 2a  , then 3 ?a 
A) 6 B) 4 C) 11 D) 17
Q10: The positive Geometric Mean of -2 and 8 is:
A) 4i B) 4i C) 4 D) 4

2. PAKTURK Success is a ladder you cannot climb with your hands in your pockets 2
Q11: If a die is rolled, then the probability of the dots on the
top are greater than 4 is:
A)
1
6
B)
1
3
C)
1
4
D)
1
2
Q12: The sum of co-efficients in the binomial expansion is:
A) 1
2n
B) 1
2n
C)  1 2n
n  D) 2n
Q13: 1
2n
and 1
2n
lie in ................. quadrant
A) I B) II C) III D) IV
Q14: Value of 2 2 3
cos sin cot
3 6 4
       
      
     
is:
A)
2
3
B)
3
2
C) 3 D) 2
Q15: The angles associated with basic angles of the measure
 to a right angle or its multiple are called ....... angles
A) Supplementary B) Complementary
C) Obtuse D) Allied
Q16: sin cos
6 3
 
 
   
     
   
is equal to:
A) cos B) sin
C) sec D) csc
Q17: The period of trigonometric function 3cos
5
x
is:
A) 2 B) 10
C) 5 D) None of these
Q18: In any triangle ABC , 1 2 3 ......................r r r 
A) 2
rs B) 2
s C) 2
 D) 2
r
Q19: The value of 1 3
sin cos
2

 
  
 
is:
A)
3
2
B)
1
2
C)
1
2
D)
1
3
Q20: The solution set of trigonometric equation
1 cos 0x  is:
A)  2n B)  2n 
C)  2 n  D) None of these
Answer Key
1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20