MCQs _ Basic Mathematics (MTH-111): 1. The additive inverse of -7 is: a) -7 b) 0 c) 7 d) 1 Answer: c) 7 2. Simplify: (3 + 2i)(4 − i) a) 10 + 5i b) 14 + 5i c) 14 − 5i d) 12 + 2i Answer: b) 14 + 5i 3. Convert 0.7272… to a fraction: a) 8/11 b) 72/99 c) 7/9 d) 5/8 Answer: b) 72/99 4. Solve: 2x² − 3x − 2 = 0 a) x = 2, -0.5 b) x = 1, 2 c) x = -2, 0.5 d) x = -1, 2 Answer: a) x = 2, -0.5 5. Factor: x² − 5x + 6 a) (x − 3)(x − 2) b) (x + 3)(x − 2) c) (x + 2)(x − 3) d) (x − 6)(x + 1) Answer: a) (x − 3)(x − 2) 6. Rational numbers are: a) Fractions only b) Terminating or repeating decimals c) Irrational numbers d) Whole numbers only Answer: b) Terminating or repeating decimals 7. The identity (a + b)² equals: a) a² + b² b) a² + 2ab + b² c) a² − 2ab + b² d) a² − b² Answer: b) a² + 2ab + b² 8. Which is an irrational number? a) √2 b) 0.5 c) 3 d) 4.75 Answer: a) √2 9. If x = 2 and y = 3, then x² + y² = a) 9 b) 13 c) 11 d) 14 Answer: d) 13 10. The square of -4 is: a) -16 b) 16 c) -8 d) 8 Answer: b) 16 11. |2x − 3| < 5 means: a) x < 1 b) -1 < x < 4 c) x > 2 d) x < -1 Answer: b) -1 < x < 4 12. If A = {1,2,3}, then n(A) = a) 1 b) 2 c) 3 d) 4 Answer: c) 3 13. The universal set contains: a) Only even numbers b) All elements under consideration c) Prime numbers d) Empty set Answer: b) All elements under consideration 14. A ∪ B means: a) A intersect B b) A minus B c) A or B or both d) None Answer: c) A or B or both 15. The complement of set A is: a) A ∪ B b) A ∩ B c) All elements not in A d) A − B Answer: c) All elements not in A 16. De Morgan’s Law: (A ∪ B)' = a) A ∩ B b) A' ∪ B' c) A' ∩ B' d) A − B Answer: c) A' ∩ B' 17. The domain of f(x) = √(x + 4) is: a) x ≥ -4 b) x ≤ -4 c) x > 0 d) x < 0 Answer: a) x ≥ -4 18. A function has one output for: a) Many inputs b) One input c) No inputs d) Infinite outputs Answer: b) One input 19. f(x) = x² − 4x + 3 is a: a) Linear function b) Exponential function c) Quadratic function d) Rational function Answer: c) Quadratic function 20. The graph of y = x² is a: a) Line b) Parabola c) Circle d) Hyperbola Answer: b) Parabola 21. Slope of a horizontal line is: a) 0 b) 1 c) undefined d) ∞ Answer: a) 0 22. Midpoint between (2, 3) and (6, 7): a) (3, 4) b) (4, 5) c) (5, 6) d) (2, 2) Answer: b) (4, 5) 23. Distance between (0, 0) and (3, 4): a) 3 b) 4 c) 5 d) √13 Answer: c) 5 24. Matrix with same number of rows and columns is: a) Rectangular b) Square c) Diagonal d) Identity Answer: b) Square 25. The identity matrix has: a) All zeros b) Diagonal of 1s c) Diagonal of 0s d) All ones Answer: b) Diagonal of 1s 26. Inverse of a matrix A exists if: a) Determinant is 0 b) Matrix is not square c) Determinant ≠ 0 d) None Answer: c) Determinant ≠ 0 27. Matrix multiplication is: a) Always commutative b) Never possible c) Not always commutative d) Always associative Answer: c) Not always commutative 28. If A = [2, 3], B = [4, 5], then A + B = a) [6, 8] b) [2, 8] c) [4, 5] d) [1, 2] Answer: a) [6, 8] 29. Determinant of a) 10 b) -2 c) 2 d) -5 Answer: b) -2 30. If interest is compounded annually, formula is: a) A = P(1 + rt) b) A = P(1 + r/n)^nt c) A = P + I d) A = P(1 − rt) Answer: b) A = P(1 + r/n)^nt 31. Sum of first 10 natural numbers: a) 45 b) 50 c) 55 d) 60 Answer: c) 55 32. 10th term of an arithmetic series: a = 2, d = 3 a) 30 b) 29 c) 28 d) 31 Answer: b) 29 33. Sum of infinite geometric series: 5 + 2.5 + 1.25 + … a) 10 b) 20 c) 15 d) 8.5 Answer: a) 10 34. Which one is a geometric series? a) 2, 4, 6, 8… b) 1, 2, 4, 8… c) 1, 3, 5, 7… d) 1, 2, 3, 5… Answer: b) 1, 2, 4, 8… 35. nth term formula for arithmetic series: a) a + (n − 1)d b) a × rⁿ c) a + nd d) a/n Answer: a) a + (n − 1)d 36. Compound interest is based on: a) Simple increase b) Flat rate c) Principal and interest d) Only initial deposit Answer: c) Principal and interest 37. Future value after 1 year, P = 1000, r = 10% a) 1100 b) 1000 c) 1200 d) 1050 Answer: a) 1100 38. The slope of the line y = 3x + 2 is: a) 2 b) 3 c) 5 d) -3 Answer: b) 3 39. A line parallel to x-axis has slope: a) 0 b) ∞ c) 1 d) Undefined Answer: a) 0 40. Coordinates of origin are: a) (1, 1) b) (0, 1) c) (1, 0) d) (0, 0) Answer: d) (0, 0) 41. A × 0 = a) A b) 0 c) 1 d) Undefined Answer: b) 0 42. 5⁰ = a) 0 b) 1 c) 5 d) Undefined Answer: b) 1 43. If log₁₀(100) = x, then x = a) 1 b) 2 c) 3 d) 0 Answer: b) 2 44. Square root of 49: a) 7 b) 14 c) 24.5 d) 6 Answer: a) 7 45. Greatest common divisor of 18 and 24: a) 6 b) 12 c) 3 d) 9 Answer: a) 6 46. Least common multiple of 4 and 6: a) 24 b) 12 c) 6 d) 10 Answer: b) 12 47. Number of degrees in a triangle: a) 90 b) 360 c) 270 d) 180 Answer: d) 180 48. Area of rectangle = a) length × breadth b) length + breadth c) 2(length + breadth) d) None Answer: a) length × breadth 49. Volume of cube = a) a² b) a³ c) 3a d) 6a Answer: b) a³ 50. Log 1 = a) 0 b) 1 c) Undefined d) 10 Answer: a) 0 51. If A = πr², then A is: a) Area of square b) Area of circle c) Area of triangle d) Volume of cylinder Answer: b) Area of circle 52. 1 kilometer = a) 100 m b) 10,000 cm c) 1000 m d) 100 cm Answer: c) 1000 m 53. Which is a prime number? a) 4 b) 6 c) 9 d) 7 Answer: d) 7 54. 1/0 = a) 0 b) 1 c) Undefined d) ∞ Answer: c) Undefined 55. √(81) = a) 7 b) 8 c) 9 d) 6 Answer: c) 9 56. Which of these is not a real number? a) 3 b) -1 c) √-1 d) 0 Answer: c) √-1 57. What is the result of: (a − b)² a) a² − 2ab + b² b) a² + 2ab + b² c) a² − b² d) a² + b² Answer: a) a² − 2ab + b² 58. Value of π (pi) is approximately: a) 2.14 b) 3.14 c) 4.13 d) 2.72 Answer: b) 3.14 59. √(16 + 9) = a) 4 b) 5 c) 6 d) √25 Answer: d) √25