1. If sin 7x = cos 11x, then the value of tan 9x + cot 9x is

4

1

2

3

2. If each interior angle of a regular polygon is 150°, the number of sides of the polygon is

15

10

8

None of these

3. If the altitude of a right prism is 10 cm and its base is an equilateral triangle of side 12 cm, then its total surface area (in cm2) is

72 (5+√3)

(5+3√3)

36√3

360

4. The value of tan 10° tan 15° tan 75° tan 80° is

2

0

1

-1

5. Two pipe X and Y can fill a cistern in 24 minutes and 32 minutes respectively. If both the pipes are opened together, then after how much time (in minutes) should Y be closed so that the tank is full in 18 minutes?

5

10

8

6

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