471.
The diameter of a roller is 35 cm and its length is 100 cm. It takes 200 complete revolutions to level a playground. Find the
area of the playground in m2
(A)
1,10,000
(B)
110
(C)
2,20,00,000
(D)
220
472.
Let ABC be a right-angled triangle such that ∠C = 90°. Let D be a point on AB such that CD is perpendicular to AB. If AC = 5
cm and BC = 12 cm, find the length of CD (in cm).
(A)
(B)
(C)
(D)
473.
A person divides his total route of journey into three equal parts and decides to travel the three parts at the speeds of 80
km/h, 60 km/h and 30 km/h, respectively. What is the average speed during the journey?
(A)
45 km/h
(B)
40 km/h
(C)
49 km/h
(D)
48 km/h
474.
How many factors of 14,400 are divisible by 18 but not by 36?
(A)
5
(B)
2
(C)
4
(D)
3
475.
Let ABC be a triangle such that ∠ABC = 70° and ∠ACB = 50°. Let O be the incentre of the triangle. Find ∠BOC.
(A)
120°
(B)
100°
(C)
60°
(D)
130°
476.
If the graph of the equation 20x + 21y = 420 cuts the coordinate axes at P and Q, then what is the measure of the length (in
units) of PQ?
(A)
25
(B)
29
(C)
40
(D)
35
477.
Find the amount to be paid at the end if ₹4,500 is invested for a period of 4 years at the rate of 8% simple interest per annum.
(A)
₹5,490
(B)
₹6,080
(C)
₹5,940
(D)
₹6,300
478.
Two similar triangles have area 490 sq. cm. and 640 sq. cm. If the length of the one side of the first triangle is 21 cm, then
what is the length of the corresponding side of the second triangle?
(A)
24 cm
(B)
21 cm
(C)
16 cm
(D)
14 cm
479.
If three spheres of radius 75 cm, 60 cm and 45 cm are melted into one big sphere, then the radius of the big sphere is:
(A)
90 cm
(B)
85 cm
(C)
95 cm
(D)
80 cm
480.
Two parallel chords are drawn in a circle of radius 25 cm. The distance between the two chords is 27 cm. If the length of one
chord is 48 cm, then length of the other chord is equal to:
