Q1. A cube of maximum possible volume is cut from the sphere of diameter 3√3 cm. What is the ratio of volume of the sphere to that of cube?
(a) (4√3)/π
(b) 4/√3 π
(c) √3/2 π
(d) π/√6
Q2. A polygon has 12 sides, then find the total no. of diagonals of the polygon?
(a) 12
(b) 24
(c) 36
(d) 54
Q3. A, B and C complete a piece of work in 15, 30 and 40 days respectively. They started the work together and A left the job 2 days and B left the job 4 days before the completion of work. In how many days was the work completed?
(a) 72/9
(b) 72/15
(c) 102/15
(d) Can’t be determined
Q4. If sin θ + cos θ = 17/13, then sin θ – cos θ = ?
(a) 7/10
(b) 5/17
(c) 7/13
(d) 13/17
Q6. A monkey climbs 57 meter high greased pole in 1st minute he climbs 10 meter and in the second minutes he comes down by 2 meter in what time will he comes to the height of the pole
(a) 15 min., 54 sec
(b) 12min., 54 sec.
(c) 12 min.
(d) 15 min.
Q7. A, B and C can walk at the rates of 3, 4 and 5 km per hour respectively. They starts from Pune at 1, 2, 3 o’clock respectively. When B catches A, B sends him back with a message to C. When will C get the message?
(a) 4 : 15 o’clock
(b) 5 : 15 o’clock
(c) 6 : 25 o’clock
(d) 4 : 00 o’clock
Q8. A bullet is fired behind a train and the driver of train hears the sound 31/2 minutes later than guard. If the speed of the train and sound are 60 km/hr and 1100 m/m respectively. Then find the length of the train.
(a) 400 meters
(b) 350 meters
(c) 500 meters
(d) 300 meters
Q9. From two places, 60 km apart, A and B start towards each other at the same time and meet each other after 6 hours. Had A travelled with 2/3 of his speed and B travelled with double of his speed, they would have met after 5 hours. The speed of A is
(a) 4 km/hr
(b) 6 km/hr
(c) 10 km/hr
(d) 12 km/hr
Q10. A car driver leaves Bangalore at 8:30 a.m. and expects to reach a place 300 km from Bangalore at 12:30 p.m. At 10:30 he finds that he has covered only 40% of the distance. By how much he has to increase the speed of the car in order to keep up his schedule?
(a) 45 km/hr
(b) 40 km/hr
(c) 35 km/hr
(d) 30 km/hr
Q11. A man could see only 50 meters in fog. He was walking at an average speed of 4 km/hr and saw a train coming behind him. The train was 20 meters in length and disappeared after 30 seconds. Find the speed of the train?
(a) 182/5 km/hr
(b) 63/5 km/hr
(c) 81/5 km/hr
(d) 42/5 km/hr
Q12. A truck crossed a man who was going along road at an average speed of 6 km/hr. The man could see the truck upto 2 minutes and then it disappeared. At the time of disappearance the distance between man and truck was 1.2 km. Find speed of the truck.
(a) 30 km/hr
(b) 90 km/hr
(c) 42 km/hr
(d) 48 km/hr
Q13. Two men are running along a railway track at the speeds of 8 km/hr and 4 km/hr more in the same direction in which a train in running. The train overtakes first man in 61/4 seconds and it takes 21/2 seconds more to overtake the second man than the first man. Find speed of the train in km/hr.
(a) 22 km/hr
(b) 20 km/hr
(c) 10 km/hr
(d) 15 km/hr
Q14. A train, after 3 hours from starting, meets with an accident which detains it for 1 hours. After this the train proceeds at 75% of its former speed and arrives 4 hours late. Had the accident happened 150 km farther along the line, it would have arrived only 31/2 hours late. Find speed of the train?
(a) 100 km/hr
(b) 200 km/hr
(c) 110 km/hr
(d) 150 km/hr
You may also like to read:
