811.
In a triangle PQR, RS intersects PQ at point S. The sides of the triangle QR = 36 cm, SQ = 27 cm, RS = 18 cm and ∠QRS =
∠QPR. What is the ratio of the perimeter of ∆PRS to that of ∆QSR?
(A)
(B)
(C)
(D)
812.
The centres of two circles of radii 20 cm and 32 cm are 60 cm apart. What is the ratio of the length of the direct common
tangent to the length of the transverse common tangent to these circles?
(A)
(B)
(C)
(D)
813.
With a uniform speed, a car covers a distance in 16 hours. Had the speed been increased by 20 km/h, the same distance
would have been covered in 12 hours. The total distance covered by the car is:
(A)
720 km
(B)
1080 km
(C)
960 km
(D)
480 km
814.
Chords AB and CD of a circle, when produced, meet at a point P outside the circle. If AB = 6 cm, CD = 3 cm and PD = 5 cm,
then PB is equal to:
(A)
9 cm
(B)
8 cm
(C)
4 cm
(D)
6 cm
815.
An article is of size 9 cm × 6 cm × 3 cm. The number of such articles that can be packed in a box measuring 63 cm × 42 cm ×
21 cm is:
(A)
343
(B)
243
(C)
49
(D)
196
816.
A cuboid with dimensions 20cm, 12cm, and 10 cm is cut into 8 identical pieces by 3 cuts. What will be the total surface area
of all the pieces?
(A)
(B)
(C)
(D)
817.
Ratna buys 10 kg of rice for ₹88 per kg and another 20 kg of rice for ₹187 per kg. What is the per kg cost (in ₹) of the total
mixture of rice for her?
(A)
148
(B)
150
(C)
158
(D)
154
818.
In an election there were three candidates. The first candidate got 40% votes and second candidate got 35% votes. If the
total votes in the election are 50,000, find the number of votes got by the third candidate.
(A)
12000
(B)
1250
(C)
12500
(D)
13,500
819.
The curved surface area of a right circular cone is 20π cm2. If its radius is 4 cm, then find the volume of cone.
(A)
18 π cm3
(B)
21 π cm3
(C)
20 π cm3
(D)
16 π cm3
820.
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:
