Mathematics

Q. If 2x = 10, what is the value of x? (2015)
  • A. 5
  • B. 10
  • C. 2
  • D. 20
Q. If 3x = 12, what is the value of x? (2019)
  • A. 3
  • B. 4
  • C. 5
  • D. 2
Q. If a = 2 and b = 3, what is the value of a^3 + b^3? (2021)
  • A. 35
  • B. 27
  • C. 10
  • D. 8
Q. If A = 2i + 3j and B = 3i + 4j, what is the angle between A and B? (2021)
  • A. 0 degrees
  • B. 45 degrees
  • C. 90 degrees
  • D. 180 degrees
Q. If A = 3i + 4j and B = 2i - j, what is A + B? (2021)
  • A. 5i + 3j
  • B. 5i + 5j
  • C. 1i + 5j
  • D. 1i + 3j
Q. If A = 4i + 2j and B = -i + 3j, what is the scalar triple product A · (B × A)? (2023)
  • A. 0
  • B. 8
  • C. 12
  • D. 16
Q. If A = 5i + 12j, what is the unit vector in the direction of A? (2021)
  • A. (5/13)i + (12/13)j
  • B. (12/13)i + (5/13)j
  • C. (5/12)i + (12/5)j
  • D. (12/5)i + (5/12)j
Q. If A = i + 2j + 3k and B = 4i + 5j + 6k, what is A - B? (2023)
  • A. -3i - 3j - 3k
  • B. -3i - 3j + 3k
  • C. 3i + 3j + 3k
  • D. 3i + 3j - 3k
Q. If A = {2, 4, 6} and B = {1, 2, 3}, what is A ∩ B?
  • A. {2}
  • B. {4, 6}
  • C. {1, 2, 3}
  • D. {}
Q. If A = {x | x is a prime number less than 10}, what is A?
  • A. {2, 3, 5, 7}
  • B. {1, 2, 3, 4}
  • C. {2, 4, 6, 8}
  • D. {3, 5, 7, 9}
Q. If A = {x | x is an even number} and B = {x | x is a multiple of 3}, what is A ∪ B?
  • A. {0, 2, 4, 6, ...}
  • B. {0, 3, 6, 9, ...}
  • C. {0, 2, 3, 4, 6, 9, ...}
  • D. {0, 1, 2, 3, ...}
Q. If a bag contains 4 green and 6 yellow marbles, what is the probability of picking a yellow marble?
  • A. 2/5
  • B. 3/5
  • C. 4/5
  • D. 1/5
Q. If a bag contains 4 green and 6 yellow marbles, what is the probability of picking a green marble?
  • A. 2/5
  • B. 4/10
  • C. 4/6
  • D. 1/3
Q. If a circle has a circumference of 31.4 cm, what is its radius? (2022)
  • A. 5 cm
  • B. 10 cm
  • C. 15 cm
  • D. 20 cm
Q. If a circle has a radius of 3 cm, what is its circumference? (Use π = 3.14) (2023)
  • A. 6.28 cm
  • B. 9.42 cm
  • C. 12.56 cm
  • D. 15.70 cm
Q. If a circle has a radius of 4 cm, what is its circumference? (Use π = 3.14) (2023)
  • A. 12.56 cm
  • B. 25.12 cm
  • C. 50.24 cm
  • D. 6.28 cm
Q. If a circle has a radius of 4 cm, what is its diameter? (2022)
  • A. 4 cm
  • B. 8 cm
  • C. 12 cm
  • D. 16 cm
Q. If a circle's radius is tripled, by what factor does the area increase? (2019)
  • A. 2
  • B. 3
  • C. 6
  • D. 9
Q. If a circle's radius is tripled, how does its area change? (2021)
  • A. Increases by 3 times
  • B. Increases by 6 times
  • C. Increases by 9 times
  • D. Remains the same
Q. If a circle's radius is tripled, how does its area change? (2023) 2023
  • A. Increases by 3 times
  • B. Increases by 6 times
  • C. Increases by 9 times
  • D. Remains the same
Q. If a coin is tossed twice, what is the probability of getting at least one head?
  • A. 1/4
  • B. 1/2
  • C. 3/4
  • D. 1
Q. If a die is rolled, what is the probability of getting an even number? (2022)
  • A. 1/2
  • B. 1/3
  • C. 1/6
  • D. 2/3
Q. If a rectangle has a length of 12 cm and a width of 4 cm, what is its perimeter? (2019)
  • A. 32 cm
  • B. 28 cm
  • C. 24 cm
  • D. 30 cm
Q. If a student guesses on a multiple-choice test with 4 options per question, what is the probability of guessing correctly?
  • A. 1/4
  • B. 1/2
  • C. 1/3
  • D. 1/5
Q. If a student guesses on a multiple-choice test with 4 options, what is the probability of guessing correctly? (2022)
  • A. 1/4
  • B. 1/2
  • C. 1/3
  • D. 1/5
Q. If a student is selected at random from a group of 20 students, 12 of whom are girls, what is the probability that the student is a girl?
  • A. 3/5
  • B. 2/5
  • C. 1/2
  • D. 1/3
Q. If C = [[0, 1], [1, 0]], what is det(C)? (2022)
  • A. 0
  • B. 1
  • C. -1
  • D. 2
Q. If cos(θ) = 0, what is the value of θ? (2017)
  • A.
  • B. 90°
  • C. 180°
  • D. 270°
Q. If cos(θ) = 0.5, what is the value of θ in degrees? (2017)
  • A. 30°
  • B. 45°
  • C. 60°
  • D. 90°
Q. If cos(θ) = 0.5, what is the value of θ? (2020)
  • A.
  • B. 30°
  • C. 60°
  • D. 90°
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