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  • Question
  • The ratio between the area of a square and that of a circle, when the length of a side of the square is equal to that of the diameter of the circle, is (take ?=22/7)


  • Options
  • A. 14 : 11
  • B. 28 : 11
  • C. 7 : 22
  • D. 22 : 7

  • Correct Answer
  • 14 : 11 


  • Area problems


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    • 1. The four walls and ceiling of a room of length 25 m, breadth 12 m and height 10 m are to be painted. Painter A can paint 200 m2 in 5 days, Painter B can paint 250 m2 in 2 days. If A and B work together, they will finish the job in

    • Options
    • A. 6 days
    • B. 6 10/33 days
    • C. 7 10/33 days
    • D. 8 days
    • Discuss
    • 2. The sides of a triangle are in the ratio 1/2 : 1/3 : 1/4 and its perimeter is 104 cm. The length of the longest side (in cm) is

    • Options
    • A. 52
    • B. 48
    • C. 32
    • D. 26
    • Discuss
    • 3. The height of an equilateral triangle is 18 cm. Its area is

    • Options
    • A. 36√3 sq. m.
    • B. 108√3 sq. cm.
    • C. 108 sq. cm.
    • D. 96√3 sq. m.
    • Discuss
    • 4. D and E are points on side AB and AC of ?ABC. DE is parallel to BC. If AD:DB = 2:3, what is the ratio of area of ?ADE and area of quadrilateral BDEC?

    • Options
    • A. 4 : 21
    • B. 4 : 25
    • C. 4 : 29
    • D. 4 : 9
    • Discuss
    • 5. Area of 4 walls of a cuboid is 57 sq m, if its length is 5.5 m and height is 3 m. What is its breadth (in m)?

    • Options
    • A. 4.5
    • B. 4
    • C. 3
    • D. 3.5
    • Discuss
    • 6. A piece of wire 132 cm long is bent successively in the shape of an equilateral triangle, a square and a circle. Then area will be longest in shape of

    • Options
    • A. Circle
    • B. Equilateral triangle
    • C. Square
    • D. Equal in all the shapes
    • Discuss
    • 7. In an isosceles triangle, the length of each equal side is twice the length of the third side. The ratio of areas of the isosceles triangle and an equilateral triangle with same perimeter is

    • Options
    • A. 30√5 : 100
    • B. 32√5 : 100
    • C. 36√5 : 100
    • D. 42√5 : 100
    • Discuss
    • 8. In an equilateral triangle ABC, G is the centroid. Each side of the triangle is 6 cm. The length of AG is

    • Options
    • A. 2?2 cm
    • B. 3?2 cm
    • C. 2?3 cm
    • D. 3?3 cm
    • Discuss
    • 9. In a circle, a diameter AB and a chord PQ (which is not a diameter) intersect each other at X perpendicularly. If AX : BX = 3 : 2 and the radius of the circle is 5 cm, then the length of chord PQ is

    • Options
    • A. 2?13 cm
    • B. 5?3 cm
    • C. 4?6 cm
    • D. 6?5 cm
    • Discuss
    • 10. x, y be two acute angles, x + y < 90° and sin(2x - 20°) = cos(2y + 20°), the value of tan(x + y) is

    • Options
    • A. ?3
    • B. 1/?3
    • C. 1
    • D. 2+?2
    • Discuss


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