Mathematics

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Q. If z1 = 2 + 2i and z2 = 1 - i, find z1 + z2.
  • A. 3 + i
  • B. 1 + i
  • C. 3 - i
  • D. 1 - i
Q. If z1 = 2 + 2i and z2 = 2 - 2i, what is the value of z1 * z2? (2019)
  • A. 8
  • B. 0
  • C. 4
  • D. 4 + 0i
Q. If z1 = 2 + 2i and z2 = 3 - i, find z1 + z2. (2023)
  • A. 5 + i
  • B. 5 + 3i
  • C. 1 + i
  • D. 1 - i
Q. If \( C = \begin{pmatrix} 1 & 0 & 2 \\ 0 & 1 & 3 \\ 0 & 0 & 1 \end{pmatrix} \), what is the determinant of C? (2022)
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. If \( G = \begin{pmatrix} 0 & 2 & 1 \\ 1 & 0 & 3 \\ 4 & 1 & 0 \end{pmatrix} \), what is the determinant of G? (2020)
  • A. -10
  • B. 10
  • C. 0
  • D. 5
Q. In a class of 15 students, their ages are: 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 14, 15, 16, 17, 18. What is the median age? (2023)
  • A. 15
  • B. 16
  • C. 17
  • D. 18
Q. In a class of 30 students, 18 are boys and 12 are girls. If one student is selected at random, what is the probability that the student is a girl?
  • A. 2/5
  • B. 1/3
  • C. 1/2
  • D. 3/5
Q. In a class of 30 students, 18 are boys. What is the probability that a randomly selected student is a girl?
  • A. 1/3
  • B. 2/5
  • C. 1/2
  • D. 3/5
Q. In a class of 30 students, the average height is 160 cm. If the height of one student is 170 cm, what is the new average height after removing that student?
  • A. 159 cm
  • B. 160 cm
  • C. 161 cm
  • D. 162 cm
Q. In a class of 30 students, the marks obtained are as follows: 45, 50, 50, 55, 60, 60, 60, 70, 75. What is the mode of the marks? (2019)
  • A. 50
  • B. 60
  • C. 70
  • D. 75
Q. In a class of 5 students, their ages are 14, 16, 15, 18, and 17. What is the median age?
  • A. 15
  • B. 16
  • C. 17
  • D. 18
Q. In a class of 5 students, their ages are 16, 18, 17, 19, and 20. What is the median age? (2022)
  • A. 17
  • B. 18
  • C. 19
  • D. 20
Q. In a class, the ages of students are: 10, 12, 10, 11, 12, 10, 13. What is the mode of the ages?
  • A. 10
  • B. 11
  • C. 12
  • D. 13
Q. In a class, the marks obtained by students are: 45, 50, 50, 55, 60, 60, 60. What is the mode?
  • A. 45
  • B. 50
  • C. 55
  • D. 60
Q. In a class, the marks obtained by students are: 45, 55, 45, 60, 55, 45, 70. What is the mode of the marks?
  • A. 45
  • B. 55
  • C. 60
  • D. 70
Q. In a class, the marks obtained by students are: 45, 55, 45, 60, 70, 55, 55. What is the mode of the marks?
  • A. 45
  • B. 55
  • C. 60
  • D. 70
Q. In a class, the number of languages spoken by students are: 1, 2, 2, 3, 3, 4, 4, 4. What is the mode?
  • A. 1
  • B. 2
  • C. 3
  • D. 4
Q. In a class, the number of pets owned by students is recorded as follows: 0, 1, 2, 1, 3, 1, 2. What is the mode?
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. In a class, the number of students who scored the following grades: A, A, B, B, B, C, C, D. What is the mode?
  • A. A
  • B. B
  • C. C
  • D. D
Q. In a data set of 10 numbers, if the numbers are arranged in ascending order, what is the median? (2020)
  • A. Average of 5th and 6th
  • B. 5th number
  • C. 6th number
  • D. Average of 1st and 10th
Q. In a data set of 10 numbers, the mode is 5. If the number 5 is replaced by 7, what will be the new mode? (2021)
  • A. 5
  • B. 7
  • C. No mode
  • D. Cannot be determined
Q. In a data set of 10 numbers, the numbers are: 2, 3, 4, 4, 5, 5, 5, 6, 7, 8. What is the mode of this data set?
  • A. 2
  • B. 4
  • C. 5
  • D. 6
Q. In a data set of 12 values: 1, 1, 2, 2, 3, 3, 4, 5, 5, 5, 6, 7, what is the mode? (2023)
  • A. 1
  • B. 2
  • C. 5
  • D. No mode
Q. In a data set of 7 values: 5, 3, 8, 6, 2, 4, 7, what is the median? (2021)
  • A. 4
  • B. 5
  • C. 6
  • D. 7
Q. In a data set of the numbers 3, 7, 3, 9, 5, 3, 8, what is the mode?
  • A. 3
  • B. 5
  • C. 7
  • D. 9
Q. In a data set, the numbers 3, 7, 7, 2, 5, 7, 8, 9, 2, 3 are given. What is the mode of this data set?
  • A. 2
  • B. 3
  • C. 7
  • D. 9
Q. In a data set, the numbers are 3, 7, 7, 2, 5, 7, 4. What is the mode of this data set?
  • A. 2
  • B. 3
  • C. 5
  • D. 7
Q. In a data set, the numbers are 3, 7, 7, 2, 5, 7, 8, 5. What is the mode of the data set?
  • A. 2
  • B. 5
  • C. 7
  • D. 8
Q. In a data set, the numbers are 3, 7, 7, 2, 5, 7, 8, 9. What is the mode of the data set?
  • A. 2
  • B. 5
  • C. 7
  • D. 9
Q. In a data set, the numbers are 3, 7, 7, 2, 5, 7, 8, 9. What is the mode of this data set?
  • A. 2
  • B. 5
  • C. 7
  • D. 9
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