531.
The age of a father will be double the age of his son ten years later. 10 years ago, the father’s age was six times the age of
the son. How many years from now, the ratio of their ages will be 3 : 2?
(A)
35
(B)
30
(C)
20
(D)
25
532.
A circle of diameter 26 cm has two equal chords of length 10 cm each, separated by a distance h cm. What is the value of h?
(A)
18
(B)
12
(C)
24
(D)
16
533.
Study the given graph and answer the question that follows.
Ratio of imports to exports from two companies over the years.
In how many of the given years were the imports more than the exports of Company N ?
(A)
2
(B)
1
(C)
3
(D)
4
534.
To finish a work in 12 days, 8 workers are engaged. After 2 days, due to some urgency, the work is to be finished in next 2
days. How many more workers are to be engaged now to finish it on time?
(A)
30
(B)
32
(C)
36
(D)
40
535.
The price of pulses has increased by 45%. By what percentage (rounded off to the nearest integer) the increased price of the
pulses should be reduced so that the price of the pulses remains unaltered?
(A)
45
(B)
31
(C)
41
(D)
35
536.
∆DEF and ∆GHI are two similar triangles. If DE = 64 cm, GH = 24 cm and the perimeter of ∆GHI is 72 cm, then what is the sum
of the lengths (in cm) of the sides EF and FD of the ∆DEF?
(A)
192
(B)
96
(C)
128
(D)
82
537.
The total surface area of a solid hemisphere of diameter 28 cm is:
(A)
1784 cm2
(B)
1488 cm2
(C)
1648 cm2
(D)
1848 cm2
538.
Find the third proportion to 36 and 48.
(A)
36
(B)
54
(C)
64
(D)
48
539.
Two circles with centres M and N have radii 5 cm and 8 cm, respectively. The circles touch each other externally at point T. A
line PR is drawn such that the points M, T and N lie on PR, P being closer to M. From P, a tangent PQ = 12 cm is drawn to the
circle with centre M touching at Q, and from R, another tangent RS = 15 cm is drawn to the circle with centre N touching at
S. What is the length (in cm) of PR?
(A)
37
(B)
43
(C)
53
(D)
26
540.
A car covers a certain distance in 85 minutes, if it runs at a speed of 36 km/hr. The speed at which the car must run to
reduce the time of journey to 51 minutes will be:
