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Mathematics

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Q. If cos(θ) = 0.5, what is the value of θ in degrees?
  • A. 30°
  • B. 45°
  • C. 60°
  • D. 90°
Q. If f(x) = 2x + 3 and g(x) = x^2, what is g(f(2))?
  • A. 25
  • B. 28
  • C. 30
  • D. 32
Q. If f(x) = 3x - 5 and g(x) = x + 4, what is (f ∘ g)(1)?
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. If f(x) = 5x + 1, what is the value of f(0)?
  • A. 0
  • B. 1
  • C. 5
  • D. 10
Q. If set A has 12 elements, set B has 15 elements, and the intersection of A and B has 5 elements, what is the number of elements in the union of A and B?
  • A. 22
  • B. 25
  • C. 30
  • D. 35
Q. If set A has 8 elements, set B has 10 elements, and they have 4 elements in common, what is the number of elements in the union of A and B?
  • A. 14
  • B. 16
  • C. 18
  • D. 20
Q. If sin(θ) = 0.8, what is cos(θ) using the Pythagorean identity?
  • A. 0.6
  • B. 0.8
  • C. 0.4
  • D. 0.2
Q. If sin(θ) = 1/√2, what is the value of θ in degrees?
  • A. 30°
  • B. 45°
  • C. 60°
  • D. 90°
Q. If tan(θ) = 1, what is the value of θ in degrees?
  • A. 0°
  • B. 30°
  • C. 45°
  • D. 60°
Q. If the first term of a geometric series is 4 and the common ratio is 3, what is the 4th term?
  • A. 36
  • B. 108
  • C. 324
  • D. 972
Q. If the first term of an arithmetic series is 7 and the common difference is 2, what is the 12th term?
  • A. 25
  • B. 27
  • C. 29
  • D. 31
Q. If the function f(x) = x^2 - 4, what is f(-2)?
  • A. 0
  • B. 2
  • C. 4
  • D. 8
Q. If the line 3x + 4y = 12 is rewritten in slope-intercept form, what is the slope?
  • A. -3/4
  • B. 3/4
  • C. 4/3
  • D. -4/3
Q. If the relation R = {(1,2), (2,3), (3,4)} is a function, what is R(2)?
  • A. 1
  • B. 2
  • C. 3
  • D. 4
Q. If the roots of the equation x^2 + px + q = 0 are 3 and 4, what is the value of p?
  • A. 7
  • B. 12
  • C. 1
  • D. 0
Q. If z = 2 - 3i, what is the conjugate of z?
  • A. 2 + 3i
  • B. 2 - 3i
  • C. -2 + 3i
  • D. -2 - 3i
Q. If z1 = 1 + i and z2 = 2 - i, what is z1 * z2?
  • A. 3 + i
  • B. 2 + 3i
  • C. 4 + i
  • D. 1 - 2i
Q. In a class of 30 students, 18 like Mathematics, 15 like Science, and 10 like both subjects. How many students like only Mathematics?
  • A. 8
  • B. 10
  • C. 15
  • D. 18
Q. In a group of 50 people, 20 like football, 25 like basketball, and 10 like both. How many people like neither sport?
  • A. 5
  • B. 10
  • C. 15
  • D. 20
Q. In a group of 60 people, 30 like apples, 25 like bananas, and 10 like both. How many like only bananas?
  • A. 15
  • B. 20
  • C. 25
  • D. 30
Q. In a survey of 200 people, 120 like chocolate, 80 like vanilla, and 50 like both. How many like only chocolate?
  • A. 70
  • B. 80
  • C. 90
  • D. 100
Q. In a survey, 60% of respondents own a car, 50% own a bike, and 20% own both. If 100 people were surveyed, how many own only a car?
  • A. 30
  • B. 40
  • C. 50
  • D. 60
Q. In how many different ways can the letters of the word 'MATH' be arranged?
  • A. 12
  • B. 24
  • C. 16
  • D. 20
Q. In how many ways can 3 students be selected from a group of 10?
  • A. 120
  • B. 90
  • C. 100
  • D. 80
Q. In how many ways can 4 different colored balls be arranged in a row?
  • A. 24
  • B. 12
  • C. 16
  • D. 20
Q. In how many ways can 5 different prizes be distributed among 3 students?
  • A. 60
  • B. 150
  • C. 100
  • D. 200
Q. In the expansion of (2x + 3y)^4, what is the coefficient of x^2y^2?
  • A. 108
  • B. 144
  • C. 216
  • D. 288
Q. In the expansion of (x - 2y)^6, what is the coefficient of x^4y^2?
  • A. 180
  • B. 240
  • C. 300
  • D. 360
Q. In the series 1, 4, 9, 16, ..., what is the 7th term?
  • A. 36
  • B. 49
  • C. 64
  • D. 81
Q. Set X has 10 elements, set Y has 15 elements, and the intersection of X and Y has 3 elements. What is the number of elements in set X only?
  • A. 7
  • B. 8
  • C. 9
  • D. 10
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