Q4. Side of Rhombus is 5 metre and its one diagonal is 6 m then what is the length of other diagonal?
(a) 9metre
(b) 8 metre
(c) 12 metre
(d) 4 metre
Q5. If a parallelogram and a triangle are drawn on the same base and between same parallel lines, what is ratio of the area of parallelogram to the area of a triangle?
(a) 4:1
(b) 3:2
(c) 5:3
(d) 2:1
Q6. What is the perimeter of a segment of a circle? If the radius of the circle is 7 cm and make a angle 120° on centre
(a) 86/3 cm.
(b) 44cm.
(c) 76/3 cm.
(d) 68cm.
Q7. Two identical circles intersect so that their centers, and the points at which they intersect, form a square of side 1 cm. The area (in cm^2) of the portion that is common to the two circles is
(a) π/4
(b) π/2-1
(c) 4π/3
(d) 5
Q10. The ratio of the sides of ∆ABC is 1:2:4. What is the ratio of the altitudes drawn onto these sides?
(a) 4:2:1
(b) 1:2:4
(c) 1:4:16
(d) None of these
Q11. A rectangular enclosure 40 m × 36 m has a horse tethered to a corner with a rope of 14 m in length. What is the ratio of the respective areas it can graze, if it is outside the enclosure and if it is inside the enclosure?
(a) 2:1
(b) 2:3
(c) 1:4
(d) 3:1
Q12. If each interior angle of a regular polygon is 135°, find the number of diagonals.
(a) 54
(b) 48
(c) 20
(d) 56
Q13. If the perimeter of an isosceles right triangle is (6 + 3√2) then the area of the triangle is
(a) 4.5 m^2
(b) 5.4 m^2
(c) 9 m^2
(d) 81 m^2
Q14. A pond 100 m in diameter is surrounded by a circular grass walk 2m wide. How many square metres of grass is there on the walk?
(a) 98π
(b) 100 π
(c) 204 π
(d) 202 π
Q15. A floor of 35 metres length and 21 metres width is to be paved with square shaped marbles. What is the least number of marbles required to cover the floor?
(a) 8
(b) 10
(c) 12
(d) 15
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