26. If the base of triangle is increased by 10% and height is decreased by 20%, then what will be the percentage change in the area of a triangle?
27. A bus starts running with some initial speed and its speed increases every hour by 9 km/hr. If it takes 11 hours to cover a distance of 572 km, then what was the initial speed (in km/hr) of the bus?
28. A boat goes 15 km upstream and 22 km downstream is 5 hours. It goes 20 km upstream and $$\ \frac{55}{2}\ $$km downstream in $$\ \frac{13}{2}\ $$hours. What is the speed (in km/hr) of stream ?
29. If a certain sum becomes 4 times in 4 years at compound interest, then in how many years, it will become 64 times?
30. What is the simple interest on Rs 7200 in 7 years at the rate of 14% per annum?
31.
The table give below shows the marks obtained by six students in 5 different subjects.What are the total marks obtained by student D in all subjects?
32. What is the average of total marks obtained by all six students in subject R?
33. What is the aggregate percentage of marks obtained by student C in all the five subjects?
34. Marks obtained by student B is how much percent more than the marks obtained by A?
35. The perimeter of base of a right circular cone is 88 cm. If the height of the cone is 48 cm, then what is the total surface area (in cm$$^{2})\ $$of the cone?
36. What is the length of the longest rod that can be placed in a room which is 3 metres long, 4 metres broad and 5 metres high?
37. If the area of a square is 48, then what is the diagonal of the square?
38. A cylindrical well of height 20 metres and radius 14 metres is dug in a field 72 metres long and 44 metres wide. The earth taken out is spread evenly on the field. What is the increase (in metre) in the level of the field?
39. Radius of hemisphere is thrice than that of a sphere. What is the ratio of total surface area of hemisphere to that of sphere?
40. If $$x + y = 4$$, then what is the value of $$x^{3} +y^{3} +12xy$$?
41. If $$x^{4}+\frac{1}{x^{4}}= 198$$ and $$x>0$$, then what is the value of $$x^{2}-\frac{1}{x^{2}}$$?
42. If $$3x - \frac{1}{3x} = 9$$, then what is the value of $$x^{2} + \frac{x^2}{81}$$?
43. If $$x^{3} - y^{3} = 112$$ and $$x - y = 4$$, then what is the value of $$x^{2} + y^{2}$$?
44. If $$x = 5 - \frac{1}{x} $$, then what is the value of $$x^{5} + \frac{1}{x^{5}}$$?
45. In ΔABC, ∠A : ∠B : ∠C = 3 : 3 : 4. A line parallel to BC is drawn which touches AB and AC at P and Q respectively. What is the value of ∠AQP - ∠APQ?
46. In the given figure, O is the center of the circle, $$\angle$$CAO = 35$$^\circ$$. What is the value (in degrees) of $$\ \angle$$AOB?
47. In the given figure, $$\triangle$$PQR is drawn such that PQ is tangent to a circle whose radius is 10 cm and QR passes through centre of the circle. Point R lies on the circle. If QR = 36 cm, then what is the area (in cm$$^{2}\ $$of $$\ \triangle$$PQR?
48. The side QR of ΔPQR is produced to S. If ∠PRS = 105° and ∠Q = (1/2)∠P, then what is the value of ∠P?
49. The perimeter of an isosceles triangle is 64 cm and each of the equal sides is 5/6 times the base. What is the area (in cm2) of the triangle?
50. What is the simplified value of$$\ \sqrt{\frac{sec^{2} \theta+cosec^{2} \theta}{4}}$$?
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What are the total marks obtained by student D in all subjects?
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