Major Competitive Exams

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Q. If the area of a circle is 154 cm², what is the radius of the circle? (Use π = 22/7)
  • A. 7 cm
  • B. 14 cm
  • C. 21 cm
  • D. 28 cm
Q. If the area of a circle is 36π, what is the radius?
  • A. 6
  • B. 12
  • C. 18
  • D. 9
Q. If the area of a circle is 50π, what is the radius?
  • A. 5
  • B. 10
  • C. 25
  • D. 20
Q. If the area of a circle is 78.5 cm², what is the radius? (2021)
  • A. 5 cm
  • B. 7 cm
  • C. 10 cm
  • D. 6 cm
Q. If the area of a coil is doubled while keeping the magnetic field constant, what happens to the magnetic flux through the coil? (2023)
  • A. It doubles
  • B. It halves
  • C. It remains the same
  • D. It quadruples
Q. If the area of a loop in a magnetic field is doubled while keeping the magnetic field strength constant, what happens to the magnetic flux through the loop?
  • A. It doubles
  • B. It halves
  • C. It remains the same
  • D. It quadruples
Q. If the area of a loop in a magnetic field is doubled while keeping the magnetic field strength constant, what happens to the magnetic flux?
  • A. It doubles
  • B. It halves
  • C. It remains the same
  • D. It quadruples
Q. If the area of a loop is doubled while keeping the magnetic field constant, how does the magnetic flux change?
  • A. It remains the same
  • B. It doubles
  • C. It triples
  • D. It halves
Q. If the area of a loop is doubled while the magnetic field remains constant, how does the induced EMF change?
  • A. Doubles
  • B. Halves
  • C. Remains the same
  • D. Quadruples
Q. If the area of a parallelogram is 120 square units and the base is 15 units, what is the height?
  • A. 8 units
  • B. 10 units
  • C. 12 units
  • D. 15 units
Q. If the area of a parallelogram is given by the formula base times height, what happens to the area if the height is halved?
  • A. The area remains the same
  • B. The area doubles
  • C. The area is halved
  • D. The area increases by 25%
Q. If the area of a quadrilateral is given by the formula A = 1/2 * d1 * d2 * sin(θ), where d1 and d2 are the lengths of the diagonals and θ is the angle between them, which type of quadrilateral does this formula apply to?
  • A. Rectangle
  • B. Parallelogram
  • C. Kite
  • D. Trapezium
Q. If the area of a quadrilateral is given by the formula A = 1/2 * d1 * d2 * sin(θ), what do d1 and d2 represent? (2023)
  • A. The lengths of the sides.
  • B. The lengths of the diagonals.
  • C. The lengths of the altitudes.
  • D. The lengths of the bases.
Q. If the area of a rectangle is 48 square meters and the length is 8 meters, what is the width?
  • A. 5
  • B. 6
  • C. 7
  • D. 8
Q. If the area of a rectangle is 48 square units and the length is 8 units, what is the width? (2022)
  • A. 4 units
  • B. 6 units
  • C. 8 units
  • D. 10 units
Q. If the area of a rectangle is calculated as 30 m² with an uncertainty of ±0.5 m², what is the relative error in the area measurement?
  • A. 0.0167
  • B. 0.017
  • C. 0.015
  • D. 0.02
Q. If the area of a rectangle is calculated as 50 m² with a length of 10 m and an uncertainty of ±0.1 m in length, what is the uncertainty in the area?
  • A. 1 m²
  • B. 0.5 m²
  • C. 0.2 m²
  • D. 0.1 m²
Q. If the area of a sector of a circle is 25π cm² and the radius is 10 cm, what is the angle of the sector in degrees?
  • A. 90 degrees
  • B. 60 degrees
  • C. 45 degrees
  • D. 30 degrees
Q. If the area of a sector of a circle is 25π square units and the radius is 5 units, what is the angle of the sector in degrees?
  • A. 90°
  • B. 60°
  • C. 45°
  • D. 30°
Q. If the area of a sector of a circle is 30 cm² and the radius is 5 cm, what is the angle of the sector in degrees?
  • A. 60°
  • B. 72°
  • C. 90°
  • D. 120°
Q. If the area of a square is 64 cm², what is the length of one side? (2022)
  • A. 6 cm
  • B. 7 cm
  • C. 8 cm
  • D. 9 cm
Q. If the area of a trapezium is 60 square units and the lengths of the parallel sides are 10 units and 20 units, what is the height?
  • A. 4 units
  • B. 6 units
  • C. 8 units
  • D. 10 units
Q. If the area of a trapezium is 60 square units and the lengths of the two parallel sides are 10 units and 20 units, what is the height?
  • A. 4 units
  • B. 6 units
  • C. 5 units
  • D. 8 units
Q. If the area of a triangle is 24 cm² and the base is 8 cm, what is the height?
  • A. 6 cm
  • B. 8 cm
  • C. 12 cm
  • D. 3 cm
Q. If the area of a triangle is 24 square cm and the base is 8 cm, what is the height?
  • A. 3 cm
  • B. 6 cm
  • C. 8 cm
  • D. 12 cm
Q. If the area of a triangle is 30 cm² and the base is 10 cm, what is the height? (2020)
  • A. 3 cm
  • B. 6 cm
  • C. 9 cm
  • D. 12 cm
Q. If the area of a triangle is 30 square units and the base is 10 units, what is the height?
  • A. 3
  • B. 5
  • C. 6
  • D. 10
Q. If the area of a triangle is 48 cm² and the base is 12 cm, what is the height? (2022)
  • A. 6 cm
  • B. 8 cm
  • C. 4 cm
  • D. 10 cm
Q. If the area of a triangle is 50 square units and its base is 10 units, what is the height of the triangle?
  • A. 5 units
  • B. 10 units
  • C. 15 units
  • D. 20 units
Q. If the area of a triangle is 60 square units and the base is 10 units, what is the height? (2019)
  • A. 12
  • B. 10
  • C. 8
  • D. 6
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