Mathematics

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Q. What is the sum of the coefficients in the expansion of (2x - 3)^4?
  • A. -81
  • B. 81
  • C. 0
  • D. 64
Q. What is the sum of the coefficients in the expansion of (x + 1)^4?
  • A. 4
  • B. 8
  • C. 16
  • D. 32
Q. What is the sum of the coefficients in the expansion of (x + 1)^8?
  • A. 256
  • B. 512
  • C. 128
  • D. 64
Q. What is the sum of the complex numbers z1 = 2 + 2i and z2 = 3 - 4i?
  • A. 5 - 2i
  • B. 5 + 2i
  • C. 1 - 2i
  • D. 1 + 2i
Q. What is the sum of the complex numbers z1 = 2 + 3i and z2 = 4 - 2i?
  • A. 6 + i
  • B. 6 + i
  • C. 2 + 5i
  • D. 8 + i
Q. What is the sum of the interior angles of a hexagon? (2022)
  • A. 720 degrees
  • B. 540 degrees
  • C. 360 degrees
  • D. 180 degrees
Q. What is the sum of the interior angles of a triangle formed by three intersecting lines?
  • A. 180 degrees
  • B. 360 degrees
  • C. 90 degrees
  • D. 270 degrees
Q. What is the sum of the interior angles of a triangle? (2019)
  • A. 90 degrees
  • B. 180 degrees
  • C. 270 degrees
  • D. 360 degrees
Q. What is the sum of the roots of the equation 2x^2 - 8x + 6 = 0? (2022)
  • A. 4
  • B. 6
  • C. 8
  • D. 10
Q. What is the sum of the roots of the equation x² - 5x + 6 = 0? (2022)
  • A. 5
  • B. 6
  • C. 7
  • D. 8
Q. What is the sum of the squares of the roots of the equation x^2 - 5x + 6 = 0?
  • A. 25
  • B. 19
  • C. 23
  • D. 21
Q. What is the trace of a 2x2 matrix A = [[3, 2], [1, 4]]? (2022)
  • A. 5
  • B. 6
  • C. 7
  • D. 8
Q. What is the trace of a 2x2 matrix A = [[a, b], [c, d]]? (2022)
  • A. a + b + c + d
  • B. a + d
  • C. b + c
  • D. a * d
Q. What is the trace of a 2x2 matrix [[a, b], [c, d]]? (2019)
  • A. a + b
  • B. b + c
  • C. a + d
  • D. c + d
Q. What is the trace of a matrix?
  • A. Sum of all elements
  • B. Sum of diagonal elements
  • C. Product of diagonal elements
  • D. None of the above
Q. What is the trace of a square matrix? (2022)
  • A. Sum of all elements
  • B. Product of diagonal elements
  • C. Sum of diagonal elements
  • D. Difference of diagonal elements
Q. What is the trace of the matrix H = [[2, 0, 1], [0, 3, 0], [1, 0, 4]]? (2019)
  • A. 5
  • B. 6
  • C. 7
  • D. 8
Q. What is the trace of the matrix H = [[2, 1], [1, 3]]?
  • A. 3
  • B. 4
  • C. 5
  • D. 6
Q. What is the trace of the matrix I = [[3, 2], [1, 4]]? (2023)
  • A. 5
  • B. 6
  • C. 7
  • D. 8
Q. What is the trace of the matrix I = [[5, 2], [3, 4]]? (2022)
  • A. 5
  • B. 7
  • C. 9
  • D. 11
Q. What is the unit vector in the direction of vector A = 4i + 3j?
  • A. (4/5)i + (3/5)j
  • B. (3/4)i + (4/3)j
  • C. (4/3)i + (3/4)j
  • D. (3/5)i + (4/5)j
Q. What is the value of (1 + 2)^5 using the binomial theorem?
  • A. 32
  • B. 64
  • C. 128
  • D. 256
Q. What is the value of (1 + i)²?
  • A. 2i
  • B. 2
  • C. 0
  • D. 1 + 2i
Q. What is the value of (2 + 3i) + (4 - 2i)?
  • A. 6 + i
  • B. 6 + i
  • C. 2 + 5i
  • D. 8 + i
Q. What is the value of (2x + 3)(2x - 3)?
  • A. 4x² - 9
  • B. 4x² + 9
  • C. 4x² - 6x + 9
  • D. 4x² + 6x - 9
Q. What is the value of (2x + 3)²?
  • A. 4x² + 9
  • B. 4x² + 12x + 9
  • C. 4x² + 6x + 9
  • D. 2x² + 6x + 9
Q. What is the value of (3/4) + (1/2)?
  • A. 1
  • B. 5/4
  • C. 3/2
  • D. 7/4
Q. What is the value of (3x + 4)(3x - 4)?
  • A. 9x² - 16
  • B. 9x² + 16
  • C. 12x² - 16
  • D. 12x² + 16
Q. What is the value of (a + b)² - (a² + b²)?
  • A. 2ab
  • B. a² + b²
  • C. 0
  • D. a + b
Q. What is the value of (a + b)²?
  • A. a² + b²
  • B. a² + 2ab + b²
  • C. 2ab
  • D. a² - b²
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