2081.
Two circles touch each other externally at M. PQ is a direct common tangent to the two circles, P and Q are points of contact
and ∠MPQ = 38°. ∠MQP is:
(A)
38°
(B)
52°
(C)
42°
(D)
48°
2082.
A circle of diameter 26 cm has two equal parallel chords of length 10 cm each, then the distance between the two chords is:
(A)
23 cm
(B)
26 cm
(C)
21 cm
(D)
24 cm
2083.
What is the area of the region created by the two linear equations 2x + y = 6 and 2x – y = –2 bounded by these lines and the
x-axis?
(A)
5 sq. units
(B)
8 sq. units
(C)
3 sq. units
(D)
6 sq. units
2084.
A sells a bike to B at 45% profit. Then B sells it to C at 30% profit. If C pays ₹43,355, then what is the cost price of the bike
for A?
(A)
₹23,000
(B)
₹27,000
(C)
₹29,000
(D)
₹21,000
2085.
A man invested a sum of ₹5,000 on simple interest for 5 years such that the rate of interest for the first 2 years is 10% per
annum, for the next 3 years it is 12% per annum How much interest (in ₹), will he earn at the end of 5 years?
(A)
3180
(B)
2800
(C)
3000
(D)
2450
2086.
The length of the portion of the straight line 5x + 12y = 60 intercepted between the axes is:
(A)
5
(B)
13
(C)
17
(D)
12
2087.
(cot θ + tan θ)(cosec θ − sin θ)(cos θ − sec θ) = ________.
(A)
0
(B)
1
(C)
2
(D)
−1
2088.
What is the present worth of ₹2,400 due in 4 years at a rate of 5% simple interest per annum?
(A)
₹2,240
(B)
₹2,000
(C)
₹2,456
(D)
₹2,200
2089.
The heights of two cones are in the ratio of 5 : 3 and their radii are in the ratio 6 : 5. Find the ratio of their volumes.
(A)
11 : 5
(B)
10 : 5
(C)
12 : 5
(D)
13 : 5
2090.
Study the given chart based on the population using different types of transport in the given cities. Assuming that no
person uses more than one type of transport, answer the question that follows.
What is the percentage of people using all types of transportation in Pune to the total number of people using all types of
transportation in all cities?
