471.
The length (in cm) of a direct common tangent to two circles of radii 14 cm and 5 cm whose centres are separated by a
distance of 40 cm is:
(A)
(B)
(C)
(D)
472.
When 12 is subtracted from a number, it reduces to its 40%. Two-fifth of that number is:
(A)
20
(B)
12
(C)
8
(D)
50
473.
A cube of edge 4 cm is cut into cubes each of edge of 2 cm. The ratio of the total surface area of one of the small cubes to
that of the large cube is equal to:
(A)
1 : 64
(B)
1 : 16
(C)
1 : 4
(D)
1 : 8
474.
A line from point A is drawn that is tangent to the circle at point B. A secant is also drawn from point A to the circle
intersecting it at points C and D. If AB = 42 cm and AC = 21 cm, then what is the ratio between AB and CD?
(A)
2 : 3
(B)
2 : 5
(C)
3 : 2
(D)
3 : 4
475.
In an isosceles triangle ABC, AB=AC. D is a point inside the triangle such that ∠BAD = 20° = ∠DCB, ∠CAD = 80°. The value
of ∠ABC is:
(A)
(B)
(C)
(D)
476.
A vendor buys 20 dozen bananas for ₹1,200 and sells 5 dozen for ₹350, then his gain percentage is:
(A)
(B)
(C)
(D)
477.
After an increase of 9% in salary, a person received ₹6,300. What was his salary before the increase (consider integral part
only)?
(A)
₹3,879
(B)
₹5,779
(C)
₹5,000
(D)
₹4,000
478.
The ratio of the outer and the inner circumference of a circular path is 7:6. If the path is 45 m wide, then what is the radius
(in m) of the inner circle?
(A)
240
(B)
120
(C)
150
(D)
270
479.
If x ∶ y = 5 ∶ 6,then 2x + 3y ∶ 3x + 5y is:
(A)
(B)
(C)
(D)
480.
A certain sum of money is lent out at simple interest. If that money becomes ₹24,000 in 2 years and ₹32,000 in 4 years, the
annual rate of interest is:
