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MCQ Practice

Mathematics MCQs

The perimeter of a rhombus is 68 cm, and one diagonal is 16 cm. Find its area.

  • A. 260 cm²
  • B. 240 cm²
  • C. 280 cm²
  • D. 220 cm²
Explanation:
Using the diagonal relation and the area formula (A = ½ d₁d₂) yields 240 cm².

The perimeter of a rectangle is 60 m. If its length is twice its breadth, its area is ____.

  • A. 160 m²
  • B. 180 m²
  • C. 200 m²
  • D. 220 m²
Explanation:
Let breadth = x, then length = 2x; solving gives area = 200 m².

The perimeter of a rectangle and a square is each 160 m. If the rectangle’s area is 100 m² less than the square's, what is the rectangle’s breadth?

  • A. 30 m
  • B. 40 m
  • C. 50 m
  • D. 60 m
Explanation:
Solving for equal perimeters and an area difference yields breadth = 50 m.

The perimeter of the floor of a room is 18 m. What is the area of its four walls?

  • A. 21 m²
  • B. 42 m²
  • C. 54 m²
  • D. 108 m²
Explanation:
Area of four walls = perimeter × height (given/implied), yielding 54 m².

The perimeter of a square is equal to the perimeter of a rectangle of length 16 cm. What is the side of the square?

  • A. 23.57 cm
  • B. 47.14 cm
  • C. 84.92 cm
  • D. 94.94 cm
Explanation:
Equating the perimeters and solving for the side gives the side ≈ 23.57 cm.

The perimeter of a square is double the perimeter of a rectangle. The area of the square ____.

  • A. 200 sq cm
  • B. 72 sq cm
  • C. 162 sq cm
  • D. Cannot be determined
Explanation:
Without the dimensions of the rectangle, the square’s area cannot be uniquely determined.

If roots of Equation are 2 and 3, Equation is ____.

  • A. x² − 5x + 6 = 0
  • B. x² + 5x + 6 = 0
  • C. x² − 6x + 5 = 0
  • D. x² + 6x + 5 = 0
Explanation:
Sum = 5, product = 6.

If Equation is x² − 5x + 6 = 0, product of roots is ____.

  • A. 5
  • B. 6
  • C. −5
  • D. −6
Explanation:
Product = c/a = 6.

If Equation is x² − 5x + 6 = 0, sum of roots is ____.

  • A. 5
  • B. −5
  • C. 6
  • D. −6
Explanation:
Sum = −b/a = 5.

If roots are α and β, then product αβ equals ____.

  • A. b/a
  • B. −b/a
  • C. c/a
  • D. −c/a
Explanation:
Product = c/a.