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1. If the ratio of the diameters of two right circular cones of equal height be 3: 4, then the ratio of their volumes will be

27 : 64

3 : 4

9 : 16

16 : 9

2. A right pyramid stands on a square base of 10√2 diagonal cm. If the height of the pyramid is 12 cm, the area (in cm^{2}) of its slant surface is

260

520

420

360

3. P and Q are centres of two circles with radii 9 cm and 2cm respectively, where PQ = 17 cm. R is the centre of another circle of radius x cm, which touches each of the above two circles externally. If ∠PRQ = 90°, then the value of x is

8 cm

4 cm

6 cm

7 cm

4. The area of a rhombus is 216 cm^{2} and the length of its one diagonal is 24 cm. The perimeter (in cm) of the rhombus is

100

52

60

120

5. The minimum value of 4 tan^{2} + 9 cot^{2} is equal to

13

0

5

12