41.
The secant CD intersects the circle at E and CF is tangent to the circle at F. If the length of the secant CD is equal to 20 cm and the length of tangent CF is 15 cm, find the length of the chord DE.
(A)
3.75 cm
(B)
11.25 cm
(C)
9.25 cm
(D)
8.75 cm
42.
18 students of a class took part in a quiz. If the number of girls is 8 more than the number of boys, find the product of the number of boys and girls.
(A)
56
(B)
36
(C)
63
(D)
65
43.
A drink is made by mixing water and juice in the ratio 9 : 7. If x litres of water and 2x litres of juice are mixed in 160 litres of drink, then the new ratio becomes 13 : 15. The quantity of drink (in litres) is:
(A)
240
(B)
280
(C)
300
(D)
260
44.
The distance between two stations A and B is 800 km. A train covers the journey from A to B at a speed of 90 km/h and returns to A with a uniform speed of 65 km/h. Find the average speed of train during the whole journey (in km/h)?
(A)
82.36
(B)
80.50
(C)
70.45
(D)
75.48
45.
Taking any three of the line segments out of segments of length 2 cm, 5 cm, 7 cm and 8 cm, the number of triangles that can be formed is:
(A)
2
(B)
4
(C)
1
(D)
3
46.
The height of a cylinder is 8 cm, and its area of the base is 20 cm2 . Find its volume?
(A)
180 cm3
(B)
80 cm3
(C)
160 cm3
(D)
100 cm3
47.
The breadth of a rectangular lawn is decreased by 8% and its length is increased by 15%. Find the percentage change in the lawn area.
(A)
8.5% increase
(B)
8.5% decrease
(C)
5.8%decrease
(D)
5.8% increase
48.
Sapna is double efficient as compared to Rakesh. If they both work together on a project and complete it in 48 days, then the number of days in which Sapna alone can complete the project is:
(A)
72
(B)
69 ½
(C)
68
(D)
52
49.
Find the surface area (in m2) of a cuboid that is 11 m long, 7 m broad and 4 m high.
(A)
298
(B)
320
(C)
249
(D)
289
50.
A trader gives a 40% discount on his goods. Further, he gives 20% discount on the goods. Find the single discount equivalent to these two successive discounts.
