321.
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
322.
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)
323.
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
324.
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
325.
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
326.
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:
(A)
(B)
(C)
(D)
327.
When 12 is subtracted from a number, it reduces to its 40%. Two-fifth of that number is:
(A)
20
(B)
12
(C)
8
(D)
50
328.
A cube of edge 4 cm is cut into cubes each of edge of 2 cm. The ratio of the total surface area of one of the small cubes to
that of the large cube is equal to:
(A)
1 : 64
(B)
1 : 16
(C)
1 : 4
(D)
1 : 8
329.
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
330.
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: