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  • 1.
    A man wishes to start a 100 square metre rectangular playground for his children. Since he has only 30 m barbed wire, he fences three sides of the garden letting his house compound wall act as the fourth side fencing. The dimension of the playground is :
    A. 15 m × 6.67 m B. 20 m × 5 m
    C. 30 m × 3.33 m D. 40 m × 2.5 m
    Ans
    B
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  • 2.
    If AB and CD are two diameters of a circle of radius r and they are mutually perpendicular, then what is the ratio of the area of the circle to the area of the ΔACD ?
    A.
    π
    2
    B. π
    C.
    π
    4
    D.
    Ans
    B
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  • 3.
    Consider an equiateral triangle of a side of unit length. A new equilateral triangle is formed by joining the mid-points of one, then a third equilateral triangle is formed by joining the mid-points of second. The process is continued. The perimeter of all triangles, thus formed is
    A. 2 units B. 3 units
    C. 6 units D. infinity
    Ans
    C
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  • 4.
    ABC is a triangle right angled at A. AB = 6 cm and AC = 8 cm. Semi-circles drawn (outside the triangle) on AB, AC and BC as diameters which enclose areas x, y and z square units, respectively. What is x + y – z equal to ?
    A. 48 cm2 B. 32 cm2
    C. 0 D. None of these
    Ans
    C
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  • 5.
    A square is inscribed in a circle of diameter 2a and another square is circumscribing circle. The difference between the areas of outer and inner squares is
    A. a2 B. 2a2
    C. 3a2 D. 4a2
    Ans
    B
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