1811.
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
1812.
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)
1813.
A vendor buys 20 dozen bananas for ₹1,200 and sells 5 dozen for ₹350, then his gain percentage is:
(A)
(B)
(C)
(D)
1814.
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
1815.
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
1816.
If x ∶ y = 5 ∶ 6,then 2x + 3y ∶ 3x + 5y is:
(A)
(B)
(C)
(D)
1817.
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:
(A)
30%
(B)
16%
(C)
25%
(D)
20%
1818.
A policeman was asked to chase a thief. Before the policeman started the chase, he realised that the thief was 200 metres
ahead of him and was running at a speed of 16 km/h. The policeman started the chase at a speed of 20 km/h. How far will the
thief run before he is overtaken by the policeman?
(A)
1000 m
(B)
700 m
(C)
800 m
(D)
600 m
1819.
R wishes to use a stick of length 6 units as common internal tangent to two circles of radius two units and three units. What
can be the maximum distance (in units) between the centres of the circle?
(A)
(B)
(C)
(D)
1820.
Ram spends 30% of his salary on food, 10% on house rent, 7% on entertainment, and 6% on conveyance. If at the end of a
month his savings are ₹1,880, then his monthly salary is:
