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  • Question

  • A line cuts two concentric circles. The lengths of chords formed by that line on the two circles are 4 cm and 16 cm. What is the difference (in cm2) in squares of radii of two circles?


  • Options
  • A. 240
  • B. 120
  • C. 60
  • D. 90

  • Correct Answer
  • 60 

    • Area problems

    Search Results

    • 1. In a triangle PQR, PX, QY and RZ be altitudes intersecting at O. If PO = 6 cm, PX = 8 cm and QO = 4 cm, then what is the value (in cm) of QY?

    • Options
    • A. 6.3
    • B. 5.8
    • C. 6
    • D. 7
      • Discuss
    • 2. In the given figure, if QR/XY = 14/9 and PY = 18 cm, then what is the value (in cm) of PQ?

    • Options
    • A. 28
    • B. 18
    • C. 21
    • D. 24
      • Discuss
    • 3. In a triangle PQR, ?PQR = 90 deg, PQ = 10 cm and PR = 26 cm, then what is the value (in cm) of inradius of incircle?

    • Options
    • A. 9
    • B. 4
    • C. 8
    • D. 6
      • Discuss
    • 4. In the given figure, OX, OY and OZ are perpendicular bisectors of the three sides of the triangle. If QPR = 65 deg and PQR = 60 deg, then what is the value (in deg) of QOR + POR?

    • Options
    • A. 250
    • B. 180
    • C. 210
    • D. 125
      • Discuss
    • 5. The crosssection of a canal is in the shape of an isosceles trapezium which is 3 m wide at the bottom and 5 m wide at the top. If the depth of the canal is 2 m and it is 110 m long, what is the maximum capacity of this canal? (Take ? = 22/7)

    • Options
    • A. 1760 cubic metres
    • B. 1650 cubic metres
    • C. 1056 cubic metres
    • D. 880 cubic metres
      • Discuss
    • 6. In the given figure, PQ is a diameter of the semicircle PABQ and O is its center. AOB = 64 deg. BP cuts AQ at X. What is the value (in deg) of AXP?

    • Options
    • A. 36
    • B. 32
    • C. 58
    • D. 54
      • Discuss
    • 7. In the given figure, in a right angle triangle ABC, AB = 12 cm and AC = 15 cm. A square is inscribed in the triangle. One of the vertices of square coincides with the vertex of triangle. What is the maximum possible area (in cm.sq) of the square?

    • Options
    • A. 1296/49
    • B. 25
    • C. 1225/36
    • D. 1225/64
      • Discuss
    • 8. In the given figure, PQRS is a square of side 8 cm. PQO = 60 deg. What is the area (in sq.cm) of the triangle POQ?

    • Options
    • A. 32√3
    • B. 24[(√)-1]
    • C. 48[(√3)-1]
    • D. 16[3-(√3)]
      • Discuss
    • 9. In the given figure, two squares of sides 8 cm and 20 cm are given. What is the area (in sq.cm) of the shaded part?

    • Options
    • A. 120/7
    • B. 160/7
    • C. 180/7
    • D. 240/13
      • Discuss
    • 10. The area of a regular hexagon is equal to the area of the square. What is the ratio of the perimeter of the regular hexagon to the perimeter of square?

    • Options
    • A. 63 : 36
    • B. 23 : 62
    • C. 63 : 2
    • D. 63 : 23
      • Discuss

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