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 cm2) 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 cm2 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 tan2  + 9 cot2  is equal to

13

0

5

12

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