2001.
In a triangle ABC, AB = AC. BC is extended to D such that CD = AB and the angle ADC is 30°. What are the angles of triangle
ABC?
(A)
30°, 60°, 90°
(B)
50°, 60°, 70°
(C)
60°, 60°, 60°
(D)
45°, 60°, 75°
2002.
Two parallel chords of length 5 units and 8 units are on opposite sides of the center of a circle of radius 7 units. What is the
distance between the chords? (round your answer to two decimal places)
(A)
11.82 units
(B)
12.28 units
(C)
11.28 units
(D)
12.82 units
2003.
A shopkeeper buys 1800 kg wheat for ₹32,400. If 20% of this wheat is spoiled due to rain, at what rate (₹/kg) should he sell
the rest to earn 20%?
(A)
29
(B)
26
(C)
25
(D)
27
2004.
In a circle, O is the centre and AOB is the diameter. AT is a tangent to the circle. Line TB intersects the circle at Q. Given that
∠AOQ = 94°, find ∠ATQ.
(A)
86°
(B)
43°
(C)
47°
(D)
133°
2005.
An amount of ₹8,000 was invested for 2 years, partly in scheme 1 at the rate of 5% simple interest per annum and the rest in
scheme 2 at the rate of 4% simple interest per annum. The total interest received at the end was ₹720. The amount of money
invested in scheme 1 is:
(A)
₹3,640
(B)
₹7,200
(C)
₹4,400
(D)
₹4,000
2006.
If the price of tea is increased by 40%, by how what percentage must the consumption of tea be decreased so as not to
increase the expenditure?
(A)
(B)
(C)
(D)
2007.
The following bar graph represents the production of three types of buses by a company over the years (in thousands).
In which of the following years was the percentage production of B type buses to C type buses, the maximum?
(A)
2015
(B)
2013
(C)
2016
(D)
2014
2008.
For what positive values of k do the following pair of linear equations have infinitely many solutions?
kx + 3y – ( k – 3 ) = 0
12x + ky – k = 0
(A)
6
(B)
2
(C)
12
(D)
4
2009.
From a circle, a sector with a central angle of 30° is cut off. If the length of the arc of this sector is 5.5 cm, then find the
radius (in cm) of the circle.
(A)
12
(B)
10
(C)
10.5
(D)
11
2010.
The ratio of the lateral surface area to the total surface area of a cylinder with base diameter 60cm and height 10 cm is:
