Created By Zohaib Farooq

Most Repeated 100 MCQs of Maths for University Admission Test

All Mcqs are Done Correctly 100 % approved And Tested

**1. If a dice is rolled twice then what is the probability that the sum of the number of dots shown is 8?**

**A. 5/36 (Correct)**

B. 4/36

C. 1/12

D. 1/2

**2. What is the sine inverse of sin(pi/2)?**

A. 1

B. pi/2 radians

C. 90 degrees

**D. Both B and C (Correct)**

3. What is the derivative of the inverse cosecant function?

**A. (-1)/[|x|*sqrt(x^2-1)] (Correct)**

B. (-1)/[|x|*sqrt(x^2+1)]

C. 1/[|x|*sqrt(x^2-1)]

D. 1/sqrt(x^2-1)

**4. What is the domain of the inverse cosecant function?**

A. [-1,1]

B. R

**C. R-(-1,1) (Correct)**

D. (-1,1)

**5. Evaluate: [sin^-1][3/4]+[sin^-1][sqrt(7)/4]**

A. [cos^-1](0)

B. [sin^-1](1)

C. [tan^-1](infinity)

**D. All of these (Correct)**

**6. How many hours are there in 360 degrees?**

A. 21600

**B. 360 (Correct)**

C. 60

D. 3.14

**7. How many terms are there in the expansion of (1+x)^n; considering that ‘n’ is positive?**

**A. n+1 (Correct)**

B. n

C. Infinite

D. n-1

**8. What is the derivative of 2t^3 with respect to 3t^2?**

A. 2t^3

**B. t (Correct)**

C. t^2

D. 1/t

**9. 1, 1/3, 1/5, 1/7… is a/an ________ sequence.**

A. Fibonnaci

B. Harmonic (Correct)

C. Geometric

D. Arithmetic

**10. What is the difference between the arithmetic mean and the geometric mean of 5 and 7?**

A. 0.8

**B. 0.08 (Correct)**

C. 0.008

D. 0.0008

**11. What is the real component of the complex number (4-i)^2?**

A. -8

B. 17

**C. 15 (Correct)**

D. Missing information

**12. Which one of the following properties of sets is said to be the commutative property?**

**A. AUB=BUA (Correct)**

B. A=B

C. AU(BUC)=(AUB)UC

D. A’=U-A

**13. If x^4-3x^2+4=0 then its roots are:**

**A. 2, -2, i and –i (Correct)**

B. 1, -1, i and -i

C. iota only

D. Impossible to determine

**14. What are the cube roots of unity?**

A. 1, -1, i and -i

B. 1, -1 and i

C. There doesn’t exist such entities in mathematics

**D. 1, [-1+sqrt(3)*i]/2 and [-1-sqrt(3)*i]/2 (Correct)**

**15. If 4x/(x-1)(x+1)=A/(x-1)+B/(x+1) then the values of ‘A’ and ‘B’ are:**

**A. 2 and 2 (Correct)**

B. 2 and -2

C. 1 and -1

D. Impossible to determine

**16. What is the nth term of the sequence: 1, 3, 5, 7…?**

**A. 2n-1 (Correct)**

B. 2n+3

C. 2n

D. It is impossible to find the nth term for such a sequence

**17. What are the two numbers whose sum is 20 but their product is minimum?**

A. 10, 10

B. 15, 5

**C. 0, 20 (Correct)**

D. 1, 19

**18. The set of points P(x,y) in which x and y both are less than zero, lie in which quadrant?**

A. I

B. II

**C. III (Correct)**

D. IV

**19. What is the same as sin(-a)?**

A. –sin(a)

B. sin(a)

C. –tan(a)/sec(a)

**D. Both A and C (Correct)**

**20. What is the domain of the function f(x)=1/sqrt(x^2+3x+2)?**

**A. (-1,+infinity)U(-2, +infinity) (Correct)**

B. (-1,-2)

C. Set of real numbers

D. (-infinity, +infinity)

**21. If f(x)=x^3, then what is its inverse?**

A. x^(1/3)

B. 3^x

C. [x^(2/3)]^0.5

**D. Both A and C (Correct)**

**22. If in a triangle, a=200, b=120 and γ=150 degrees, then what is the area of the triangle?**

A. 10932

B. Impossible to determine

C. 7050

**D. 6000 (Correct)**

**23. Use analytical geometry to determine to classify the quadrilateral ABCD with vertices A(-1,0), B(3,3), C(6,-1), and D(2,-4).**

A. Parallelogram

**B. Square (Correct)**

C. Rhombus

D. Trapezium

**24. Tell the relationship between x and y.**

x 0 1 2 3 4 5 6 7 8

y Undefined 0 0.693 1.099 1.386 1.609 1.792 1.946 2.079

**A. y=ln x (Correct)**

B. y=log x

C. y=1/x

D. y=e^x

**25. The feasible solution which maximizes or minimizes the objective function is called:**

**A. Optimal solution (Correct)**

B. Feasible solution

C. Linear solution

D. Quintic solution

**26. Evaluate: (sin(θ)-1)^2+(sin(θ)+1)^2**

**A. 2[1+[sin^2](θ)] (Correct)**

B. 1+[sin^2](θ)

C. 1

D. 2+(sin^2)(θ)

**27. If one of the lengths of the sides of an equilateral triangle is 10, then what is the area of the triangle?**

A. 25*sqrt(3)

B. 43.30

C. Both A and B (Correct)

D. Missing information

**28. Iota expressed in the form of coordinates is:**

**A. (0,1) (Correct)**

B. (1,0)

C. (0,0)

D. It is impossible to express a complex number in the form of coordinates

**29. What is the sum of angles in a quadrilateral?**

A. 120

B. 180

C. 270

**D. 360 (Correct)**

**30. What is the power of fourth power of ‘x’ in the sixth power of (2-x)?**

**A. 24 (Correct)**

B. 10

C. 6/4

D. 2

**31. What is the sum of the first 50 real numbers?**

A. 500

**B. 1275 (Correct)**

C. 1200

D. 8900

**32. Orders of some matrices are given in the following. Which one of them cannot be multiplied?**

A. mxn, nxp where m, n and p are all positive integers

B. axb, bxc where a, b and c are all positive integers

C. 1×2, 2×6

**D. 3×5, 4×1 (Correct)**

**33. sin (pi/3) is equal to?**

**A. 0.866 (Correct)**

B. 0.500

C. 0.707

D. 0.966

**34. What is the formula for tan θ?**

A. sin θ/cos θ

B. 1/cot θ

C. tan(180+ θ)

**D. All of these (Correct)**

**35. What is the formula for cos 2θ?**

A. [1-[tan^2](θ)]/[1+[tan^2](θ)]

B. 1-2sin^2(θ)

**C. Both A and B (Correct)**

D. None of these

**36. Evaluate: cos θ+tan θ*sin θ**

A. sec θ

B. 1/cos θ

C. sqrt[1-sin^2(θ)]

**D. All of these (Correct)**

**37. Solve: (22/7)*sqrt(3)**

**A. 5.44 (Correct)**

B. 5.20

C. 5.85

D. 5.69

**38. What is the cosine inverse of cos(0.5)?**

A. 1/6

**B. 1/2 (Correct)**

C. 1/3

D. 1/4

**39. Probability of any event cannot have the value of:**

A. 1/5

B. 1/8

C. 1/2

**D. 3/2 (Correct)**

**40. If A={1,2,3}, B={0,4,5} and U={0,3,6}, then find n(AUB).**

**A. 64 (Correct)**

B. 8

C. 16

D. 32

**41. When both nappes of a double-napped cone are intersected by a plane (not passing through the vertex), the cross section produces a/an:**

**A. Hyperbola (Correct)**

B. Circle

C. Ellipse

D. Parabola

**42. Find the value of cos[(tan^-1)(-1)].**

A. 0.766

**B. 0.707 (Correct)**

C. 0.500

D. 0.087

**43. Evaluate: tan (θ/2)**

A. sqrt[(1-cos θ)/(1+cos θ)]

B. 1/cot (θ/2)

C. tan(180+θ/2)

**D. All of these (Correct)**

**44. Evaluate: [tan^-1][1/sqrt(3)]**

A. pi/6 radians

B. pi/3 radians

C. 13pi/6 radians

**D. Both A and C (Correct)**

**45. Find the distance AB between the two points: A(3,1) and B(-2,-4).**

**A. sqrt(50) (Correct)**

B. sqrt(26)

C. sqrt(34)

D. sqrt(10)

**46. What are three AMs between -18 and 4?**

A. 12.5, 7 and 1.5

B. AM can’t be found between a negative and a positive number

**C. -12.5, -7 and -1.5 (Correct)**

D. 1, 2 and 3

**47. Find the sum: 1+3+5…+(2n+1)**

**A. n^2 (Correct)**

B. ln e^2

C. 2^n

D. n^e

**48. What is the domain of tan x?**

A. R – (2n+1)(pi/2) where ‘n’ cannot be zero

**B. R – (2n+1)(pi/2) where ‘n’ can be zero (Correct)**

C. R – n(pi) where ‘n’ cannot be zero

D. R

**49. Which one of the following pairs has the same period?**

**A. Tangent function and cotangent function (Correct)**

B. Sine function and tangent function

C. Cosine function and cotangent function

D. Cosecant function and tangent function

**50. 30 degrees, 45 minutes and 47 seconds are equal to _____ degrees:**

A. 30.56

B. 30.66

C. 30.67

**D. 30.86 (Correct)**

**51. Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?**

A. 1/2

B. 2/5

C. 8/15

**D. 9/20 (Correct)**

**52. If α and β are the roots of the equation x^2-x+1=0, then find 2α and 2β.**

**A. 1+sqrt(3)*i, 1-sqrt(3)*i (Correct)**

B. only i

C. Impossible to determine

D. i and -i

**53. If A={a,b,c} then the number of possible subsets is:**

A. 3

**B. 8 (Correct)**

C. 6

D. None of these

**54. How many 6-digit numbers can be formed without repeating any digit from the digits 0, 1, 2, 3, 4 and 5?**

A. 120

**B. 720 (Correct)**

C. 96

D. 4920

**55. If a parabola has an equation of y^2=4x, then find its focus.**

**A. (1,0) (Correct)**

B. (0,1)

C. (4,0)

D. (0,4)

**56. Any line parallel to x-axis has a slope of:**

**A. 0 (Correct)**

B. infinity

C. 1

D. -1

**57. The product of all the three cube roots of unity is:**

A. 1 (Correct)

B. -1

C. -1+sqrt(3)*i

D. 0

**58. 2/3 is a/an ________ number.**

A. Irrational

B. Rational

C. Positive

**D. Both B and C (Correct)**

**59. How many radians are there in a degree?**

**A. 0.07145 (Correct)**

B. 0.06250

C. 0.06145

D. 0.07135

**60. Which one of the following things a hyperbola has?**

A. One focus and two directrices

**B. Two foci and two directrices (Correct)**

C. Two foci and one directrix

D. None of these

**61. A line segment that touches two points on the outside of the circle but doesn’t pass through the center is called:**

**A. Chord (Correct)**

B. Diameter

C. Radius

D. None of these

**62. In a right-angled triangle, if a median drawn from the right angle to the hypotenuse has a length of 6 meters, then what is the length of the hypotenuse?**

**A. 12 meters (Correct)**

B. 6 meters

C. 3 meters

D. 36 meters

**63. If we have a function f(x,y)=c, then we differentiate it using the method of:**

A. Chain Rule

**B. Implicit differentiation (Correct)**

C. Product Rule

D. Newton’s method

**64. The sum of coefficients in the expansion of (x+y)^5 is:**

A. 128

B. 64

**C. 32 (Correct)**

D. 16

**65. If the sum of two consecutive integers is ‘x’, then what is the product of them?**

**A. (x^2-1)/4 (Correct)**

B. (x^2-1)/2

C. x^2-1

D. None of these

**66. What fraction is the result of the sum of the series: 0.2+0.02+0.002…**

A. 1/3

B. 1/6

**C. 2/9 (Correct)**

D. 1/7

**67. Differentiate ‘sin 2x’ with respect to x.**

A. 2cos 2x

B. 2sin 2x

C. 2[1-2[sin^2](x)]

**D. Both A and C (Correct)**

**68. Men and women are in a ratio of P:Q. What is the percentage of men?**

**A. P/P+Q (Correct)**

B. Q/P+Q

C. 100/P+Q

D. 50/50

**69. Which of the following is the biggest number?**

A. 1

B. 2*sqrt(2)

C. 3*sqrt(3)

**D. 4*sqrt(4) (Correct)**

**70. What is the geometric mean of 32 and 64?**

A. 32*sqrt(2)

B. sqrt(32*64)

C. Geometric mean of positive numbers isn’t possible to determine

**D. Both A and B (Correct)**

**71. Differentiate ln (e) with respect to ‘x’.**

A. 1/e

**B. 0 (Correct)**

C. 1/x

D. e

**72. Evaluate: cos x * sin x * tan x * cot x * csc x**

A. cos x

B. 1/sec x

**C. Both A and B (Correct)**

D. sin x

**73. Evaluate: w^-23+w^-28**

**A. -1 (Correct)**

B. 1

C. w

D. w^2

**74. The derivate of f(x) with respect to ‘x’ is defined as:**

**A. The rate of change in f(x) with respect to ‘x’ (Correct)**

B. The increase in the relevance rate of f(x) with respect to ‘x’

C. The decrease in the relevance rate of f(x) with respect to ‘x’

D. None of these

**75. Which one of the following is the additive inverse for 2+sqrt(3)?**

A. sqrt(3)

B. -2+sqrt(3)

**C. -2-sqrt(3) (Correct)**

D. 2+sqrt(3)

**76. What are the angles of an equilateral triangle?**

A. 45 degrees, 45 degrees and 90 degrees

B. 45 degrees, 90 degrees and 45 degrees

C. 120 degrees, 30 degrees and 30 degrees

**D. 60 degrees, 60 degrees and 60 degrees (Correct)**

**77) If a square has a side of 2 units, then what is the length of its diagonal?**

**A. 2*sqrt(2) (Correct)**

B. 8

C. 4

D. 16

**78. In an ellipse, what is the name for the line through the focus and perpendicular to the major axis ending at the ellipse?**

A. Focal chord

B. Minor axis

**C. Latus rectum (Correct)**

D. Vertical asymptote

**79. The length of all the sides of a square and an equilateral triangle is 5 units. What is the ratio of the area of the square to the area of the triangle?**

A. 8/sqrt(3)

B. [8*sqrt(3)]/5

**C. 4/sqrt(3) (Correct)**

D. sqrt(3)/8

**80. Two figures having the same shape but different sizes are called:**

A. Congruent figures

**B. Similar figures (Correct)**

C. Equal figures

D. All of these

**81. Evaluate: cos(-θ)*cos(-θ)*[-cos(θ)]*cos(θ)*[-cos(-θ)]**

**A. [cos^5](θ) (Correct)**

B. -[cos^5](θ)

C. [cos^3](θ)

D. cos (θ)

**82. Evaluate: [sin^-1][3/5]**

A. [cos^-1][4/5]

B. [sec^-1][5/4]

C. [csc^-1][5/3]

D. All of these (Correct)

**83. What is the period of sin 3x?**

A. (2*pi)/3 (Correct)

B. 2*pi

C. 3*pi

D. (3*pi)/2

**84. What is the formula of cos 3α?**

A. cos 2α*cos α

B. 4[cos^3](α)-3cos α (Correct)

C. (1+cos α)/sin α

D. Both A and C

**85. Differentiate 3^2x with respect to ‘x’.**

A. 2*ln 2*(3^2x) (Correct)

B. ln 2*(3^2x)

C. 3^2x

D. 2x/3

**86. Find the integral with respect to x: e^x/(e^x+1)**

A. ln |e^x+1|+c (Correct)

B. ln |e^x|+c

C. Impossible to determine

D. e^x+c

**87. If two coordinates of a rectangle are present in the first quadrant, then which one of the following coordinates is NOT to be of that rectangle?**

A. (2, 8)

B. (2, -8)

C. (8, -2)

**D. (-2, -8) (Correct)**

**88. Calculate the exact value of the decimal 0.4545…**

**A. 5/11 (Correct)**

B. 50/11

C. 500/11

D. 5000/11

**89. What is the cosine inverse of cos(-1/2)?**

**A. -1/2 (Correct)**

B. 1/2

C. 1/4

D. (2*pi)/3 radians

**90. An equation of a parabola is (x-2)^2=4(y+2), then its vertex is:**

**A. (2, -2) (Correct)**

B. (-2, 2)

C. (0, 0)

D. Missing information

**91. If ‘x’ is real, then which one of the following is an odd function?**

**A. –sin (x) (Correct)**

B. –cos (x)

C. |x|

D. (e^x-1)/(e^x-1)

**92. If cos θ = 1, then what is the possible value of θ?**

A. 0 degrees

B. 360 degrees

C. 720 degrees

D. All of these are possible (Correct)

**93. If an equation of hyperbola is: x^2/4-y^2/9=1, then find its eccentricity.**

**A. sqrt(13)/4 (Correct)**

B. 9/4

C. sqrt(5)/4

D. sqrt(9)*sqrt(5)

**94. Every homogenous second degree equation ax^2+2hxy+by^2 represents a pair of lines through the origin. When are these lines coincident?**

A. (a*b) < h^2

B. h^2 = 0

C. h^2 < (a*b)

**D. h^2 = a*b (Correct)**

**95. Which one of the following is the real part of the complex number: 6(2-3i)?**

A. 2

B. 12 (Correct)

C. -3

D. 6

**96. Simplify: (1+tan x)/(1-tan x)**

**A. tan(45+x) (Correct)**

B. Can’t be further simplified

C. tan(45-x)

D. tan(x+1)

**97. If in a triangle, α=49 degrees, b=5 inches and c=7 inches, then what is the length of ‘a’?**

**A. 5.29 (Correct)**

B. 7.31

C. 12.07

D. 9.65

**98. The equation which doesn’t change by replacing ‘x’ with ‘1/x’ is called:**

A. Linear

B. Quadratic

C. Proportional

**D. None of these (Correct)**

**99) Differentiate tan[sqrt(x)] with respect to ‘x’.**

A. [sec^2][x]/[2sqrt(x)]

B. [sec^2][sqrt(x)]/[2sqrt(x)]

**C. [sec^2][sqrt(x)]/[2sqrt(x)] (Correct)**

D. None of these

**100. Which one of the following is the same as sin (75)?**

**A. [sqrt(3)+1]/sqrt(8) (Correct)**

B. It is impossible to determine

C. [sqrt(3)-1]/sqrt(8)

D. [sqrt(3)+1]/8