CAT4MBA

1) The ship Vikrant starts from point P toward apoint Q at noon at 1.00 PM ship Viraat starts from Q towards P.If ship Vikrant is expected to complete the voyage in 6 h and the ship Viraat is moving at a speed 2/3 rd of that of ship Vikraat at what time are the two ships expected to meet?
a) 4 PM  b)4:30 PM  c) 3 PM  d)2:30 PM

2)A ship 156 km away from the sea coast springs a leak, which admits 2(1/3) metric tons of water in 6(1/2) min, but the pumps throw out 15 metric tons of waterin 1 hr.70 metric tons would be sufficient to sinkthe ship.What should be the average speed (in km/h) of the ship so that it may just reach the shoreas he begins to sink?

3)Vinod and Kulkarni starts travelling in the same direction at 8km/hr and 13 km/hr respectively.After 4 hours,Vinod doubles his speed and kulkarni reduced his speed by 1km/hr andreached the destination together .How long did the entire journey starts?

4)A car after travelling a distance of 110 km develops a problem in the engine and proceeds at 3/4 the of its former speed and arrive at the destination 60 min. late .Had the problem developed 30 km further on,the car would have arrived 12 min. sooner.Find the original speed of the car.

5)A stone allowed to fall under gravity falls 5t2m in t sec.When a stone is dropped in the well the sound of the stone striking the water was heard 65/9 sec after it was dropped .Find the deoth of the well if sound travels 324 m in a sec.
a) 360 m   b)  180 min   c)  210 min   d) 240 min.

6)A watch which gains uniformely is 5 min slow  at 800 am on sunday and is 5 min 48 sec fast on the following sunday .When did it show the correct time?  
a) 7:00 PM, Thursday  b)7:20 PM Wed   c) 7:20 AM Thursday   d)7:20 AM ,Wed

7)Anil and Dheeraj  run a race on circular course 400 m long in the same direction.If their speed are in the ratio 3:2 ,how many times does Anil passes Dheeraj?

a) 2 times.  b) 3 times.    c) 4 times.   d)  5 times. 

8)At what time between 2 and 3 O'clock will the hands of a clock be in straight line facing away from each other?

a)2:42:9/11   b) 2:42:49/77   c) 2:43:9/11   d)2:43:49/77

9)Minute hand of a clock overtakes the hour hand at interval of 63 min. of the correct time.How much does the clock lose again in a day?

a) 56(24/77)min.  b) 55(8/77)min.   c) 56(8/77) min. d) None of these.

10) At what time between 8 & 9  O'clock will the hours and minute hand make angle of 72 degree with each other?