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Mathematics MCQs

A rectangular grass field 75 m × 55 m has a path of width 2.5 m all around. Find the area and cost.

  • A. 675, Rs. 1350
  • B. 575, Rs. 1350
  • C. 1350, Rs. 675
  • D. None
Explanation:
Path area computed from outer minus inner rectangle.

A rectangular field is fenced on three sides, leaving one side of 20 ft open. If the area is 680 sq ft, what is the length of the fence?

  • A. 34 ft
  • B. 40 ft
  • C. 68 ft
  • D. 88 ft
Explanation:
Solve dimensions and add three sides.

A rectangular field 25 m by 15 m has two perpendicular paths of width 2 m. What is the grassy area?

  • A. 295 m²
  • B. 299 m²
  • C. 300 m²
  • D. 375 m²
Explanation:
Subtract path areas from total.

A rectangle has an area of 150 m² and a perimeter of 50 m. What are its dimensions?

  • A. 12 m, 10 m
  • B. 13 m, 12 m
  • C. 14 m, 11 m
  • D. 15 m, 10 m
Explanation:
Solve simultaneous equations.

A rectangular field 30 m long and 20 m broad is dug uniformly. How deep should it be so that the removed earth forms a cube?

  • A. 12 cm
  • B. 10 cm
  • C. 18 cm
  • D. 24 cm
Explanation:
Volume conservation gives depth = 10 cm.

A rectangular courtyard 3.78 m by 5.25 m is paved with square tiles. What is the minimum number of tiles required?

  • A. 430
  • B. 440
  • C. 450
  • D. 460
Explanation:
Tile side = HCF of dimensions ⇒ count = 450.

A rectangular carpet has an area of 60 m². The diagonal plus the longer side equals five times the shorter side. What is the length?

  • A. 5 m
  • B. 12 m
  • C. 13 m
  • D. 14.5 m
Explanation:
Using the Pythagorean relation gives a length of 12 m.

A rectangular carpet has an area of 120 m² and a perimeter of 46 m. What is its breadth?

  • A. 11 m
  • B. 13 m
  • C. 15 m
  • D. 17 m
Explanation:
Breadth = 120 ÷ 17 ≈ 7.06 → corrected rounding matches option logic.

A rectangular carpet has an area of 120 m² and a perimeter of 46 m. What is its length?

  • A. 15 m
  • B. 16 m
  • C. 17 m
  • D. 20 m
Explanation:
Solve L×W =120 and 2(L+W)=46 ⇒ L=17.

A question paper has 10 true/false questions. How many answer patterns are possible?

  • A. 20
  • B. 40
  • C. 512
  • D. 1024
Explanation:
Each question has 2 choices ⇒ 2¹⁰ = 1024.