1. The diameter of a circle is increased by 3 cm, then the ratio of new radius to the new circumference will be
(a) 2π∶1
(b) π∶2
(c) 2∶π
(d) 1∶2π
2. The area of the trapezium is 312 cm^2, then the distance between the parallel sides whose lengths are 21 cm and 27 cm respectively, is
(a) 13 cm
(b) 14 cm
(c) 15 cm
(d) 16 cm
3. The largest sphere is curved out from a cube of side 21 cm. The volume of remaining part is
(a) 4770 cm^3
(b) 4410 cm^3
(c) 4370 cm^3
(d) None of these
4. Find the length of longest rod which can be placed in a cube of total surface area of 1176 cm^2.
(a) 7
(b) 14
(c) 7√3
(d) 14√3
5. Volumes of two cubes are in the ratio 8 : 27. Ratio of their surface area is
(a) 2 : 3
(b) 3 : 2
(c) 4 : 9
(d) 9 : 4
6. The radii of two circles are 5 cm and 3 cm, the distance between their centres in 24 cm. Then, the length of the transverse common tangent is
(a) 16 cm
(b) 15√2 cm
(c) 16√2 cm
(d) 15 cm
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