NDA/NA(II) Exam 2014 Mathematic
Q. 1 Every quadratic equation ax²+bx+ c=0 where a,b,c ∈ ℝ and a ≠ 0
A. exactly one real root
B. at least one real root
C. at least two real roots
D. at most two real roots
Q. 2 the relation S is defined for a set of integers Z as xSy if integer x divides integer y. Then
A. S is an equivalence relation
B. S is only reflexive and symmetric
C. S is only reflexive and transitive
D. S is only symmetric and transitive
Q. 3 If a not equal to b not equal to c are all positive, then the value of determinant is
A. non -negative
B. non-positive
C. negative
D. positive
Q. 4 let A and B be two matrices such that AB=A and BA=B. Which of the following statements are correct
1) A²=A
2) B²=B
3) (AB)²= AB
Select the answer using the code given below .
A. 1 and 2 only
B. 2 and 3 only
C. 1 and 3 only
D. 1,2and 3
Q. 5 What is (1001)₂ equal to ?
A. (5)₁₀
B. (9)₁₀
C. (17)₁₀
D. (11)₁₀
Q. 6 What is{(√3 + i) / (√3 – i)}⁶ equal to if i= √-1
A. 1
B. 1/6
C. 6
D. 2
Q. 7 Let z be a complex number such that ∣z∣ =4 and arg z=5π/6.What is Z equal to ?
A. 2√3+2i
B. 2√3-2i
C. -2√3+2i
D. -√3+i
Q. 8 If given value in the figure, where i =√-1 then what is x equal to?
A. 3
B. 2
C. 1
D. 0
Q. 9 If α and β are the roots of ax²+bx+c=0 and α+h and β+h are the roots of px²+qx+r=0 , then what is the value of h?
A. (b/a – q/p)/2
B. (-b/a + q/p)/2
C. (b/p + q/a)/2
D. (-b/p + q/a)/2
Q. 10 If the matrix A is shown in figure. What is A equal to ?
A. a
B. b
C. c
D. d
Q. 11 Consider the following statements
1) The determinant is the square matrix
2) The determinant is the number associated with a square matrix
Which of the above statements is correct
A. 1 only
B. 2 only
C. both 1 and 2
D. neither 1 nor 2
Q. 12 If A is an invertible matrix .then what is det (A⁻¹) eqaul to ?
A. det A
B. 1/det A
C. 1
D. none of the above
Q. 13 From the matrix equation AB=BC, where A,B,C are are the square matrices of same order, we can conclude B=C Provided .
A. A is nonsingular
B. A is singular
C. A is symmetric
D. A is skew symmetric
Q. 14 If the given value is symmetric ,then what is X eqaul to ?
A. 2
B. 3
C. -1
D. 5
Q. 15 If the given value is , then which one of the following statements is correct ?
A. a/b is one of he cube roots of unity
B. a/b is one of he cube roots of -1
C. a is one of he cube roots of unity
D. b is one of he cube roots of unity
Q. 16 If function f:N –> N , N being the set of natural numbers defined by f(x)=2x+3 is :
A. Injective and surjective
B. Injective but not surjective
C. not Injective but surjective
D. neither Injective nor surjective
Q. 17 What is the value of the given equation , where n is the natural number and i =√-1 ?
A. 2
B. 2i
C. -2i
D. i
Q. 18 What is the number of ways in which one can post 5 letters in 7 letter boxes?
A. 7⁵
B. 3⁵
C. 5⁷
D. 2520
Q. 19 What is the number of ways that a cricket team of 11 players can be made out of 15 players?
A. 364
B. 1001
C. 1365
D. 32760
Q. 20 A and B are two sets having 3 elements in common. If n(A) = 5, n(B) = 4, then what is n( A x B) equal to ?
A. 0
B. 9
C. 15
D. 20
Q. 21 If f(x)=ax+b and g(x)= cx+d such that f(g(x)) and g(f(x)), then which of the following is correct ?
A. f(c)=g(a)
B. f(a)=g(c)
C. f(c)=g(d)
D. f(d)=g(b)
Q. 22 If A and B are square matrices of second order such that ∣A∣ = – 1 and ∣B∣ = 3, then what is ∣3AB∣ equal to?
A. 3
B. -9
C. -27
D. none of the above
Questions: 23 – 25
Consider the function
Q. 23 What is f(x) + 1/f(x) -1 = x equal to ?
A. 0
B. 1
C. 2x
D. 4x
Q. 24 What is f(2x) equal to ?
A. f(x) + 1/f(x) + 3
B. f(x) + 1/3 f(x) + 1
C. 3 f(x) + 1/ f(x) + 3
D. f(x) + 3/3 f(x) +1
Q. 25 What is f(f(x)) equal to ?
A. x
B. -x
C. -1/x
D. None of the above
Questions: 26 – 30
For the next 5 questions that follow
Consider the expansion (x²+1/x)¹⁵
Q. 26 what is the independent term in the given equation ?
A. 2103
B. 3003
C. 4503
D. none of the above
Q. 27 What is the coefficient of x¹⁵ to the term independent of x in the given expansion ?
A. 1
B. 1/2
C. 2/3
D. 3/4
Q. 28 Consider the following statements :
1 .There are 15 terms in the given expansion
2. the coefficinet x¹²of is equal to that of x³
Which of the above statements is correct
A. 1 only
B. 2 only
C. both 1 and 2
D. neither 1 nor 2
Q. 29 Consider the following statements :
1. The term containing x² does not exist in the given expansion
2.The sum of the coefficients of all the given terms in the given expansion 2¹⁵
which of the above sentences is correct ?
A. 1 only
B. 2 only
C. both 1 and 2
D. neither 1 nor 2
Q. 30 What is the sum of coeffcieents of the middle terms in the given expansion ?
A. C ( 15 , 9 )
B. C ( 16 , 9 )
C. C ( 16 , 8 )
D. None of the above
Q. 31 What is √1+sin2θ equal to ?
A. Cos θ – Sin θ
B. Cos θ + Sin θ
C. 2 Cos θ + Sin θ
D. Cos θ + 2 Sin θ
Q. 32 A lamp post stands on a horizontal plane .From a point situated at a distance 150 m from its foot , the angle of elevation at the top is 30 deg .what is the height of the lamp post ?
A. 50 m
B. 50√3 m
C. 50/√3 m
D. 100 m
Q. 33 IF cot A =2 and cot B= 3, then what is the value of A+B?
A. π/6
B. π
C. π/2
D. π/4
Q. 34 what is the value of Sin² 133/2° – Sin² 47/2° ?
A. Sin 47°
B. Co[s 47°
C. 2 Sin 47°
D. 2 Cos 47°
Q. 35 What is the value of Sin⁻¹ 3/5 + sin⁻¹ 4/5 ?
A. π/2
B. π/3
C. π/4
D. π/6
Q. 36 What is the value of (cos 7x – cos3x) / (sin 7x – 2 sin5x + sin 3x)?
A. tan x
B. cot x
C. tan 2x
D. cot 2x
Q. 37 In a triangle ABC, c= 2, A = 45° , a = 2√2 , then what is c equal to ?
A. 30°
B. 15°
C. 45°
D. None of the above
Q. 38 In a triangle sinA – cos B = cos C then what is B equal to?
A. π
B. π/3
C. π/2
D. π/4
Q. 39 what is the value of tanx/tany if given ?
A. b/a
B. a/b
C. ab
D. 1
Q. 40 If sin A sin(60 – A) sin (60 + A) = K sin 3A, then what is k equal to ?
A. 1/4
B. 1/2
C. 1
D. 4
Q. 41 The line y =√3 meets the graph y =tan x where x ε(0,π/2), in k points , what is k equal to ?
A. 1
B. 2
C. 3
D. infinity
Q. 42 Which one of the following is one of the solutions of the equations tan 2θ.tanθ=1?
A. π/12
B. π/6
C. π/4
D. π/3
Q. 43 Given that 16sin⁵x = p sin5x+qsin3x+rsinx
What is the value of p?
A. 1
B. 2
C. -1
D. -2
Q. 44 Given that 16sin⁵x = p sin5x+qsin3x+rsinx
What is the value of q?
A. 3
B. 5
C. 10
D. -5
Q. 45 Given that 16sin⁵x = p sin5x+qsin3x+rsinx
What is the value of r?
A. 5
B. 8
C. 10
D. -10
Questions: 46 – 48
Let Sn denote the sum of first n terms of an AP and 3Sn=S₂n
Q. 46 What is S₃n:Sn is equal to ?
A. 4:1
B. 6:1
C. 8:1
D. 10:1
Q. 47 What is S₃n:S₂n is equal to ?
A. 2:1
B. 3:1
C. 4:1
D. 5:1
Q. 48 What is the length of the lactus rectum of the eclipse 25x²+16y²=400
A. 25/2
B. 25/4
C. 16/5
D. 32/5
Questions: 49 – 50
Consider the circlels x²+y²+2ax +c =0 and x²+y²+2by +c=0
Q. 49 What is the differnece between the centre of the 2 circles ?
A. √(a²+b²)
B. a²+b²
C. a+b
D. 2(a+b)
Q. 50 Two circles touch each other
A. c= √(a²+b²)
B. 1/c = 1/a² + 1/b²
C. c = 1/a² + 1/b²
D. c = 1/a²+b²
Q. 51 A(3,4) and B(5,-2) are 2 points and P is a point such that PA=PB.If the area of triangle PABis 10 square unit.What are the co -ordinates of P?
A. (1,0 )only
B. (7,2 ) only
C. (1,0 ) and (7,2 )
D. neither (1,0) nor (7,2)
Q. 52 What is the product of the perpendiculars drawn from the points (±√(a² – b²), 0) upon the line bx cos α + ay sin α = ab?
A. a²
B. b²
C. a² + b²
D. a + b
Q. 53 Which of the following sentences is right in respect of the equations (x-1)/2 = (y-2)/3 and 2x+3y=5?
A. They reresent 2 lines which are parallel
B. They reresent 2 lines which are Perpendicular
C. They reresent 2 lines which are neither parallel nor perpendicular
D. The first equation does not represnt line
Questions: 54 – 56
For the following next 3 questions Consider a sphere passing through the origin and the points (2,1,-1) (1,5,-4) and (-2,4 ,-6)
Q. 54 What is the radius of the sphere ?
A. √12
B. √14
C. 12
D. 14
Q. 55 What is the centre of the sphere ?
A. (-1,2,-3)
B. (1,-2,3)
C. (1,2,-3)
D. (-1,-2,-3)
Q. 56 Consider the following statements
1 ) The sphere passes through the point (0,4,0)
2)The point (1,1,1) is at a distance of 1 unit from the centre of the plane .
Which one of the above statements is correct ?
A. 1 only
B. 2 only
C. Both 1 and 2
D. Neither 1 nor 2
Questions: 57 – 58
The line joining the points (2,1,3) and (4,-2,5) cuts the plane at 2x + y – z = 3
Q. 57 Where does the line cut the plane ?
A. (0,-4,-1)
B. (0,-4,1)
C. (1,4,0)
D. (0,4,1)
Q. 58 What is the ratio in which plane divides the line ?
A. 1:1
B. 2:3
C. 3:4
D. none of the above
Questions: 59 – 60
Compare the plane passing through the points
A(2,2,1), B(3,4,2) and C(7,0,6)
Q. 59 Which of the following points lies in the plane ?
A. (1,0,0)
B. (1,0,1)
C. (0,0,1)
D. None of the above
Q. 60 What are the direction ratios of the normal to the plane?
A. < 1, 0, 1 >
B. < 0, 1, 0 >
C. < 1, 0, -1 >
D. None of the above
Questions: 61 – 63
consider the function f(x) = { x²-5, x ≤3 √(x+13), x>3
Q. 61 what is the value of the limit (x-> 3) f(x) ?
A. 2
B. 4
C. 5
D. 13
Q. 62 Consider the following statements :
1. The function is continuous for x = 3
2. The function is not differentiable at x=0
Which of the above statements is/are correct ?
A. 1 only
B. 2 only
C. both 1 and 2
D. neither 1 nor 2
Q. 63 What is the differential coefficient of f(x) at x = 12?
A. 5/2
B. 5
C. 1/5
D. 1/10
Questions: 64 – 66
For the next three items that follow.
The line 2y = 3x + 12 cuts the parabola by 4y = 3x²
Q. 64 where does the line cut the parabola?
A. At (-2,3) only
B. At (4,12) only
C. At both (-2,3) and (4,12)
D. neither (-2,3) nor (4,12)
Q. 65 What is the area enclosed by the parabola and the line?
A. 27 square unit
B. 36 square unit
C. 48 square unit
D. 54 square unit
Q. 66 What is the area enclosed by the parabola, the line and the y-axis in the first quardrant ?
A. 7 square unit
B. 14 square unit
C. 20 square unit
D. 21 square unit
Q. 67 Consider the function is given in the figure. What is the non-zero value of k for which the function is continuous at x = 0?
A. 1/4
B. 1/2
C. 1
D. 2
Q. 68 consider the following statements:
1. The function f(x) = [x], where [.] is the greatest integer function defined as R is continuous at all points except at x =0.
2. The function f(x) = sin IxI is continuous at all x ∈ R
which of the above statements is/are correct?
A. 1 only
B. 2 only
C. both 1 and 2
D. neither 1 nor 2
Questions: 69 – 70
for the next two items that follow:
consider the curve x = a (cos θ + θ sin θ) and y = a(sin θ – θ cos θ).
Q. 69 what is dy/dx equal to?
A. tan θ
B. cot θ
C. sin 2θ
D. cos 2θ
Q. 70 What is d²y/dx² equal to?
A. sec² θ
B. -cosec² θ
C. sec³ θ/aθ
D. none of the above
Q. 71 What is the area of the parabola y² = 4bx bounded by its latus rectum?
A. 2b²/3 square unit
B. 4b²/3 square unit
C. b² square unit
D. 8b²/3 square unit
Q. 72 If y= n ln n + neⁿ, then what is the value of dy/dn at n = 1?
A. 1+e
B. 1-e
C. 1+2e
D. none of the above
Q. 73 What is the value of the limit (x->0) log₅(1+x)/x equal to ?
A. 1
B. logₑ5
C. log₅e
D. 5
Q. 74 What is it equal to ?
A. logₑ5
B. log₅e
C. 5
D. 1
Q. 75 what is the value of ?
A. 5
B. 2
C. 1
D. 0
Q. 76 Consider K = ⁱ ₀∫ xdx/(1 + sinx)
i = π
What is K equal to ?
A. -π
B. 0
C. π
D. 2π
Q. 77 Consider K = ⁱ ₀∫ xdx/(1 + sinx)
i = π
The value of the ⁱ ₀∫ (π-x)dx/(1 + sinx) is?
A. π
B. π/2
C. 0
D. 2π
Q. 78 Consider K = ⁱ ₀∫ xdx/(1 + sinx)
i = π
what is the value of the ⁱ ₀∫ dx/(1 + sinx)?
A. 1
B. 2
C. 4
D. -2
Questions: 79 – 80
If ∫x tan⁻¹ x dx = A(x²+1)tan⁻¹ x+Bx+C, where C is the constant of integration.
Q. 79 What is the value of A?
A. 1
B. 1/2
C. -1/2
D. 1/4
Q. 80 what is the value of B?
A. 1
B. 1/2
C. -1/2
D. 1/4
Q. 81 Consider the integral K = ₀²ⁱ ∫ ln(sinx) dx
i = π
what is the value of the integral ₀ⁱ∫ ln(sinx) dx ?
A. 4K
B. 2K
C. K
D. K/2
Q. 82 Consider the integral K = ₀²ⁱ ∫ ln(sinx) dx
i = π
what is the value of integral ₀ⁱ∫ ln(Cos x) dx?
A. K/2
B. K
C. 2K
D. 4K
Questions: 83 – 84
A rectangular box is to be made from a sheet of 24-inch length and 9-inch width cutting out identical squares of side length x from the four corners and turning up the sides.
Q. 83 what is the value of x for which the volume id maximum?
A. 1 inch
B. 1.5 inch
C. 2 inch
D. 2.5 inch
Q. 84 what is the maximum volume of the box?
A. 200 cubic inch
B. 400 cubic inch
C. 100 cubic inch
D. none of the above
Q. 85 What is the degree of the differential equation (d³y/dx³)^(3/2) = (d²y/dx²)² ?
A. 1
B. 2
C. 3
D. 4
Q. 86 what is the solution of the equation ln (dy/dn) + n = 0?
A. y + eⁿ = c
B. y – e⁻ⁿ = c
C. y + e⁻ⁿ = c
D. y – eⁿ = c
Q. 87 Eliminating the arbitrary constants B and C in the expression y = 2/3C(Cx-1)^3/2 + B , we get
A. x[1+(dy/dx)²] = d²y/dx²
B. 2x(dy/dx)d²y/dx² = 1+ (dy/dx)²
C. (dy/dx)d²y/dx² = 1
D. (dy/dx)² + 1 = d²y/dx²
Questions: 88 – 90
Let f(x) = ax²+bx+c such that f(1) = f(-1) and a,b,c are in arithmetic progression?
Q. 88 what is the value of b?
A. -1
B. 0
C. 1
D. cannot be determined due to insufficient data
Q. 89 f'(a),f'(b),f'(c) are in
A. A.P
B. G.P
C. H.P
D. arithmetico-geometric progression
Q. 90 f”(a),f”(b),f”(c) are
A. in A.P only
B. in G.P only
C. in both A.P and G.P
D. neither in A.P nor in G.P
Q. 91 if |a̅| = 2, |b̅| = 5 and |a̅ x b̅| = 8, then what is a̅ . b̅ equal to ?
a̅ = a is vector
b̅ = b is vector
A. 6
B. 7
C. 8
D. 9
Q. 92 If | a̅ + b̅ | = | a̅ – b̅ |, then which one of the following is correct ?
a̅ = a is vector
b̅ = b is vector
A. | a̅ | = | b̅ |
B. a̅ is parallel to b̅
C. a̅ is perpendicular to b̅
D. a̅ is a unit vector
Q. 93 what is the area of the triangle OAB where O̅A̅ = 3î – ĵ + k̂ and O̅B̅ = 2î + ĵ – 3k̂ ?
O̅A̅ is a vector
O̅B̅ is a vector
A. 5√6
B. 5√6/2
C. √6
D. √30
Q. 94 Which of the following is the unit vector perpendicular to both a̅ = î + ĵ + k̂ and b̅ = î – ĵ + k̂
A. (î + ĵ) / √2
B. k̂
C. (î + ĵ)/ √2
D. (î – ĵ)/ √2
Q. 95 what is the interior acute angle of the parallelogram whose sides are represented by the vectors 1/√2 1̂ + 1/√2 ĵ + k̂ ?
A. 60°
B. 45°
C. 30°
D. 15°
Q. 96 For what value of λ are the vectors λ î + (1 + λ) ĵ + (1 + 2λ) k̂ and (1 – λ) 1̂ + λ ĵ + 2 k̂ perpendicular ?
A. -1//3
B. 1/3
C. 2/3
D. 1
Questions: 97 – 100
a̅ + b̅ + c̅ = 0̅ such that |a̅| = 3, |b̅| = 5 and |c̅| = 7
a̅ is a vector
b̅ is a vector
c̅ is a vector
Q. 97 What is the angle between a̅ and b̅ ?
A. π/6
B. π/4
C. π/3
D. π/2
Q. 98 what is a̅ . b̅ + b̅ . c̅ + c̅ . a̅ equal to ?
A. -83
B. -83/2
C. 75
D. -75/2
Q. 99 What is the cosine of angle between b̅ and c̅ ?
A. 11/12
B. 13/14
C. -11/12
D. -13/14
Q. 100 What is | a̅ + b̅ | equal to ?
A. 7
B. 8
C. 10
D. 11
Q. 101 what is the value of the integral?
A. 2ab
B. 2πab
C. π/2ab
D. π/ab
Q. 102 A cylindrical is inscribed in a sphere of radius r.
what is the height of the cylinder of maximum volume?
A. 2r/√3
B. r/√3
C. 2r
D. √3 r
Q. 103 A cylindrical is inscribed in a sphere of radius r.
what is the radius of the cylinder of maximum volume?
A. 2r/√3
B. √2r/√3
C. r
D. √3 r
Questions: 104 – 105
for the next two items that follow
consider the function f”(x) = sec⁴ x + 4 with f(0) = 0 and f'(0) = 0
Q. 104 what is f'(x) equal to?
A. tan x-(tan³ x/4)+4x
B. tan x +(tan³ x/4) +4x
C. tan x +(sec³ x/3)+4x
D. -tan x-(tan³ x/3)+4x
Q. 105 what is f(x) equal to?
A. (2 ln sec x/3) +(tan² x/6)+2x²
B. (3 ln sec x/2)+(cot² x/6)+2x²
C. (4 ln sec x/3)+(sec² x/6)+2x²
D. ln sec x+(tan⁴ x/12)+2x²
Q. 106 suppose A and B are two events. Events B has occurred and it is known that P(B)<1.What is P(A I Bⁱ ) equal to?
i = compliment
A. [P(A)-P(B)]/(1-P(B))
B. [P(A)-P(B)]/(1-P(B))
C. [P(A)+P(B)]/(1-P(Bⁱ ))
D. none of the above
Questions: 107 – 110
consider events A,B,C,D,E of the sample space S = {n : n is an integer such that 10≤ n ≤20}given by :
A is the set of all even number.
B is the set of all prime numbers C={15}
D is the set of all integers ≤ 16
E is the set of all double digit numbers expressible as a power of 2.
Q. 107 A,B and D are
A. mutually exclusive events but not exhaustive events.
B. exhaustive events but not mutually exclusive events
C. mutually exclusive and exhaustive events
D. elementary events
Q. 108 A,B and C are
A. mutually exclusive events but not exhaustive events
B. exhaustive events but not mutually exclusive events
C. mutually exclusive and exhaustive events
D. elementary events
Q. 109 B and C are
A. mutually exclusive events but not exhaustive events
B. compound events
C. mutually exclusive and exhaustive events
D. elementary events
Q. 110 C and E are
A. mutually exclusive events but not elementary events
B. exhaustive events but not mutually exclusive events
C. mutually exclusive and exhaustive evnts
D. elementary and mutually exclusive events
Q. 111 consider the following statements in respect of histogram:
1. The histogram is a suitable representation of a frequency distribution of a continuous variable.
2. The area included under the whole histogram is the total frequency.
which of the above statements is/are correct?
A. 1 only
B. 2 only
C. both 1 and 2
D. neither 1 nor 2
Q. 112 The regression lines will be perpendicular to each other if the coefficient of correlation r is equal to
A. 1 only
B. 1 or -1
C. -1 only
D. 0
Q. 113 For any two events A and B, which one of the following holds?
A. P(A⋂B) ≤ P(A) ≤ P(A⋃B) ≤ P(A)+P(B)
B. P(A⋃B) ≤ P(A) ≤ P(A⋂B) ≤ P(A)+P(B)
C. P(A⋃B) ≤ P(B) ≤ P(A⋂B) ≤ P(A)+P(B)
D. P(A⋂B) ≤ P(B) ≤ P(A) ≤ P(B) ≤ P(A⋃B)
Q. 114 The probability that in a random arrangement of the letters of the word ‘UNIVERSITY’, the two I’s do not come together is
A. 4/5
B. 1/5
C. 1/10
D. 9/10
Q. 115 There are 4 white and 3 black balls in a box. In another box, there are three white and four black balls. An unbiased dices is rolled. If it shows a number less than or equal to 3, then a ball is drawn from the second box, otherwise from the first box. If the ball drawn is black, then the probability that the ball was drawn from the first box is
A. 1/2
B. 6/7
C. 4/7
D. 3/7
Q. 116 If x̅ and y̅ are the means of two distributions such that x̅ < y̅ and z̅ is the mean of the combines distribution, then which one of the following statements is correct?
A. x̅ < y̅ < z̅
B. x̅ > y̅ > z̅
C. z̅ = (x̅ + y̅)/2
D. x̅ < z̅ < y̅
Q. 117 What is the mean deviation about the mean for the data 4,7,8,9,10,12,13,17?
A. 2.5
B. 3
C. 3.5
D. 4
Q. 118 The variance of 20 observations is 5. If each observation is multiplied by 2, then what is the new variance of the resulting observations?
A. 5
B. 10
C. 20
D. 40
Q. 119 Two students X and Y appeared in an examination. The probability that X will qualify the examination is 0.05 and Y will be qualify the examination is 0.10. The probability that both will qualify the examination is 0.02. What is the probability that only one of them will qualify the examination?
A. 0.15
B. 0.14
C. 0.12
D. 0.11
Q. 120 A fair coin is tossed four times. What is the probability that at most three tails occur?
A. 7/8
B. 15/16
C. 13/16
D. 3/4
| Answer Sheet | ||||||||||
| Question | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| Answer | B | C | D | D | A | A | C | C | A | A |
| Question | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
| Answer | C | B | A | D | B | A | A | A | C | D |
| Question | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 |
| Answer | D | C | A | C | B | A | B | C | C | C |
| Question | 31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 | 39 | 40 |
| Answer | B | B | D | B | A | B | A | C | B | A |
| Question | 41 | 42 | 43 | 44 | 45 | 46 | 47 | 48 | 49 | 50 |
| Answer | A | B | B | B | C | B | A | D | A | C |
| Question | 51 | 52 | 53 | 54 | 55 | 56 | 57 | 58 | 59 | 60 |
| Answer | D | A | B | B | A | A | D | D | A | B |
| Question | 61 | 62 | 63 | 64 | 65 | 66 | 67 | 68 | 69 | 70 |
| Answer | B | B | D | C | B | B | B | B | A | C |
| Question | 71 | 72 | 73 | 74 | 75 | 76 | 77 | 78 | 79 | 80 |
| Answer | D | C | B | A | D | C | A | B | B | C |
| Question | 81 | 82 | 83 | 84 | 85 | 86 | 87 | 88 | 89 | 90 |
| Answer | C | A | C | A | C | C | B | B | A | C |
| Question | 91 | 92 | 93 | 94 | 95 | 96 | 97 | 98 | 99 | 100 |
| Answer | A | C | B | A | B | A | C | B | D | B |
| Question | 101 | 102 | 103 | 104 | 105 | 106 | 107 | 108 | 109 | 110 |
| Answer | C | A | C | B | A | B | C | C | A | D |
| Question | 111 | 112 | 113 | 114 | 115 | 116 | 117 | 118 | 119 | 120 |
| Answer | C | B | D | A | C | D | B | C | D | B |