Mathematics

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Q. If the roots of the equation x² + px + 12 = 0 are 3 and 4, what is the value of p? (2020)
  • A. -7
  • B. -5
  • C. 7
  • D. 5
Q. If the roots of the equation x² + px + q = 0 are 3 and -2, what is the value of p? (2019)
  • A. -1
  • B. 1
  • C. 5
  • D. -5
Q. If two coins are tossed, what is the probability of getting at least one tail? (2023)
  • A. 1/4
  • B. 1/2
  • C. 3/4
  • D. 1/3
Q. If two dice are rolled, what is the probability that the sum is 7?
  • A. 1/6
  • B. 1/12
  • C. 1/36
  • D. 5/36
Q. If U = {1, 2, 3, 4, 5} and A = {1, 2}, what is A'?
  • A. {3, 4, 5}
  • B. {1, 2}
  • C. {1, 2, 3}
  • D. {}
Q. If x = 5, what is the value of 2x + 3? (2022)
  • A. 10
  • B. 13
  • C. 8
  • D. 15
Q. If z = -2 + 2i, what is the value of |z|? (2019)
  • A. 2√2
  • B. 4
  • C. 2
  • D. √2
Q. If z = 1 + i, what is the value of z^2? (2022)
  • A. 2i
  • B. 1 + 2i
  • C. 2
  • D. 0
Q. If z = 1 + i, what is the value of z²? (2022)
  • A. 0
  • B. 2i
  • C. 2
  • D. 1 + 2i
Q. If z = 2 + 2i, what is |z|^2? (2021)
  • A. 8
  • B. 4
  • C. 2
  • D. 0
Q. If z = 2 - 3i, what is the conjugate of z? (2020)
  • A. 2 + 3i
  • B. 2 - 3i
  • C. -2 + 3i
  • D. -2 - 3i
Q. If z = 3 + 4i, what is the imaginary part of z? (2022) 2022
  • A. 3
  • B. 4
  • C. 7
  • D. 1
Q. If z = 3 + 4i, what is the value of z + z* (where z* is the conjugate of z)? (2017)
  • A. 6
  • B. 8
  • C. 12
  • D. 0
Q. If z = 3 + 4i, what is the value of z + z̅? (2022)
  • A. 6
  • B. 8
  • C. 7
  • D. 5
Q. If z = 3 + 4i, what is the value of |z|^2? (2019)
  • A. 25
  • B. 7
  • C. 12
  • D. 16
Q. If z = 4 + 3i, what is the real part of z? (2023)
  • A. 4
  • B. 3
  • C. 7
  • D. 1
Q. If z = 5 + 12i, what is the argument of z? (2022)
  • A. arctan(12/5)
  • B. arctan(5/12)
  • C. π/2
  • D. 0
Q. If z = 5 + 12i, what is the imaginary part of z? (2022)
  • A. 5
  • B. 12
  • C. 17
  • D. 0
Q. If \( B = \begin{pmatrix} 2 & 3 \\ 1 & 4 \end{pmatrix} \), what is \( |B| \)? (2022)
  • A. 5
  • B. 10
  • C. 1
  • D. 8
Q. If \( E = \begin{pmatrix} 0 & 1 \\ 1 & 0 \end{pmatrix} \), what is \( |E| \)? (2023)
  • A. 0
  • B. 1
  • C. -1
  • D. 2
Q. If \( E = \begin{pmatrix} 1 & 1 \\ 1 & 1 \end{pmatrix} \), what is \( |E| \)? (2022)
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. In a class of 30 students, 18 are girls. What is the probability of randomly selecting a boy? (2021)
  • A. 3/5
  • B. 2/5
  • C. 1/2
  • D. 1/3
Q. In a game, the probability of winning is 0.2. What is the probability of losing? (2019)
  • A. 0.2
  • B. 0.5
  • C. 0.8
  • D. 0.3
Q. In a group of 50 people, 20 are smokers. What is the probability of selecting a non-smoker? (2022)
  • A. 2/5
  • B. 3/5
  • C. 1/2
  • D. 1/4
Q. In a group of 50 people, 20 are smokers. What is the probability that a randomly selected person is a non-smoker? (2021)
  • A. 1/2
  • B. 3/5
  • C. 2/5
  • D. 1/5
Q. In a lottery, there are 10 tickets, and 2 are winning tickets. What is the probability of picking a winning ticket?
  • A. 1/5
  • B. 1/10
  • C. 1/2
  • D. 2/10
Q. In a lottery, there are 10 tickets, and 3 are winning tickets. What is the probability of picking a winning ticket? (2022)
  • A. 1/3
  • B. 1/4
  • C. 1/5
  • D. 1/2
Q. In a lottery, there are 100 tickets and 10 winning tickets. What is the probability of picking a winning ticket? (2023)
  • A. 1/10
  • B. 1/5
  • C. 1/20
  • D. 1/50
Q. In a sequence where the nth term is given by n^2 + 2n, what is the 6th term?
  • A. 48
  • B. 50
  • C. 52
  • D. 54
Q. In how many ways can 3 different colored balls be arranged in a row? (2015)
  • A. 6
  • B. 3
  • C. 9
  • D. 12
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