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1. What will be the minimum value of

16 sec^{2} ø + 81 cosec^{2} ø ?

173

162

159

169

2. A 630 meter long train crosses a platform of equal length in 30 second. What is the speed of the train (in m/s)?

52 m/s

42 m/s

43 m/s

47 m/s

3. A man row 60 km upstream and 88 km down stream in 20 hrs. He can also row 80 km upstream and 110 km down stream in 26 hrs. Find the rate of current and the speed of the man in still water.

4 km/hr, 10 km/hr

3 km/hr, 8 km/hr

6 km/hr, 3 km/hr

1 km/hr, 6 km/hr

4. A bus travelling at 5/14 of its usual speed covers 84 km in 1hr 40 min 48 second. What is the usual speed of the bus?

141 km/hr

135 km/hr

140 km/hr

152 km/hr

5. 12 men and 16 boys can do a piece of work in 20 days. 52 men and 96 boys can do the same work in 4 days. In how many days will 30 men and 40 boys complete that work?

9 days

8 days

3 days

7 days