Q4. The diagonals of a rhombus are 12 cm and 16 cm respectively. The length of one side is -
(a) 8 cm
(b) 6 cm
(c) 10 cm
(d) 12 cm
Q5. Area of the trapezium formed by x-axis; y-axis and the lines 3x + 4y = 12 and 6x + 8y = 60 is:
(a) 37.5 sq. unit
(b) 31.5 sq. unit
(c) 48 sq. unit
(d) 36.5 sq. unit
Q6. The length of the side of a square is 14 cm. Find out the ratio of radii of the inscribed and circumscribed circle of the square.
(a) √2:1
(b) 1∶√2
(c) √2 ∶3
(d) 2: 1
Q7. The perimeter of a rhombus is 146 cm and one of its diagonals is 55 cm. the other diagonal is -
(a) 92 cm
(b) 73 cm
(c) 48 cm
(d) 72 cm
Q8. If a circle with radius of 10 cm has two parallel chords 16 cm and 12 cm and they are on the same side of the centre of the circle, then the distance between the two parallel chords is -
(a) 2 cm
(b) 3 cm
(c) 5 cm
(d) 8 cm
Q9. The radio of radii of two right circular cylinders is 2 : 3 and there heights are in the ratio 5 : 4. The ratio of their curved surface area is
(a) 5 : 6
(b) 3 : 4
(c) 4 : 5
(d) 2 : 3
Q10. Base of a right prism is an equilateral triangle of side 6 cm. If the volume of the prism is 108√3 cm^3, its height is -
(a) 9 cm
(b) 10 cm
(c) 11 cm
(d) 12 cm
Q11. The length of the diagonal of a cube is 6 cm. The volume of the cube (in cm3) is
(a) 18√3
(b) 24√3
(c) 28√3
(d) 30√3
Q12. A right circular cylinder is circumscribing a hemisphere such that their bases are common. The ratio of their volumes is
(a) 1 : 3
(b) 1 : 2
(c) 2 : 3
(d) 3 : 4
Q13. The total number of spherical bullets, each of diameter 5 decimeter, that can be made by utilizing the maximum of a rectangular block of lead with 11 metre length, 10 metre breadth and 5 width (assume that 𝜋 > 3)
(a) equal to 8800
(b) less than 8800
(c) equal to 8400
(d) greater than 9000
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