200 questions asked across 4 exam years, newest first
The radius of a circle is 5 cm. Calculate the length of a tangent drawn to this circle from a point at a distance of 10 cm from its centre.

Answer: D
A thief stole jewellery from a shop at 8:15 p.m. and left on a bike at a speed of 60 km/h. The police were informed at 8:30 p.m. If the police want to arrest the thief at 9:00 p.m., what should be the minimum speed of the police jeep?
Answer: D
A man rows to a place 48 km distant and comes back in 14 hours. He finds that he can row 4 km with the stream in the same time as 3 km against the stream. The speed of the stream is:
Answer: D
A civil contractor planned to build an over bridge of 3 km distance in 600 days. For this purpose, he employed 90 workers. After 200 days of work, it was observed that only 0.5 km of the bridge was completed. What is the number of extra workers required to complete the work in time?
Answer: D
A starts from a point at a speed of 34 m/s. After 5 seconds, B starts chasing A from the same point at a speed of 44 m/s. What will be the distance travelled by B before A is caught by B?
Answer: A
Two trains are moving in the same direction at the speed of 36 km/hr and 48 km / hr. The time taken by faster train to cross a man sitting in the slower train is 33 seconds. What will be the length of the faster train?
Answer: C
A boat racer can row km/h in still water. If the speed of river is 12.5 km/hr, it takes him 40 minutes to row to a place and back, how far off is the place (consider up to two decimals)?
Answer: A
A chord of length 40 cm is drawn in a circle having diameter 50 cm. What is the minimum distance of other parallel chord of length 30 cm in the same circle from 40 cm long chord?
Answer: C
A dog saw a cat at a distance of 280 m. The cat started running at the speed of 10 km/h and the dog also ran to catch it with the speed of 24 km/h. How much time will the dog take to catch the cat?
Answer: C
In a linear race of 1000 m, A beats B by 50 m or 5 seconds. What is the difference between the speeds (in m/s) of A and B?

Answer: B
The speed of a boat in still water is km/h. It is found that the boat takes thrice as much time to row up than it does to row down the same distance in the river stream. Find the speed of the river stream.
Answer: C
Two tourist buses start from the same point and move along two roads at right angles at speeds of 48 km/h and 36 km/h, respectively. The distance between the buses after 15 seconds is ________.
Answer: C
A car starts from point A towards point B, travelling at the speed of 20 km/h. hours later, another car starts from point A and travelling at the speed of 30 km/h and reaches hours before the first car. Find the distance between A and B.
Answer: B
A thief steals a bike at 12:30 p.m. and drives it at 48 km/h. But the theft is discovered after half an hour. The bike owner starts to chase him on another bike at 58 km/h. The thief will be caught at ________.
Answer: D
A policeman sees a chain snatcher at a distance of 500 m. He starts chasing the chain snatcher who is running with a speed of 5 m/s while the policeman is chasing him with a speed of 15 m/s. What is the distance covered by the chain snatcher when he is caught by the policeman?
Answer: D
In a 1200 m race, bike A beats bike B by 100 m. Bike B beats bike C by 100 m in a 600 m race. If bike A beats bike C by 30 sec in a 720 m race, then what is the speed of bike C?

Answer: A
A thief is noticed by a policeman from a distance of 97 m. The thief starts running and the policeman chases him. The thief and the policeman run at a speed of 21 m/sec and 23 m/sec respectively. What is the time taken by the policeman to catch the thief?
Answer: D
A circular clock has the hour hand of length 6 inch. Find the length of the distance it covers by it's tip from 9 p.m. to 3 a.m.
Answer: C
The distance covered by a train in (5y - 1) hours is (125y 3 - 1) km. The speed of the train is :
Answer: D
In a 400-metre race, A runs at a speed of 16 m/sec. If A gives B a start of 15 metres and still beats him by 10 sec, then what is the speed of B?
Answer: A
In a 100-m race, A beats B by 20 m and B beats C by 20 m. By how much distance does A beat C.
Answer: D
Two trains P and Q start from stations S and T towards each other. Train P takes 4 hours 48 minutes and train Q takes 3 hours 20 minutes to reach T and S, respectively, after they meet. If the speed of train P is 45 km/h, what is the speed of train Q?
Answer: C
In a 1500 m race, Anil beats Bakul by 150 m and in the same race Bakul beats Charles by 75 m. By what distance does Anil beat Charles?
Answer: A
A man rows a boat a certain distance downstream in 9 hours, while it takes 18 hours to row the same distance upstream. How many hours will it take him to row three-fifth of the same distance in still water?
Answer: B
A swimmer swims from a point P against the current for 6 min and then swims back along the current for next 6 min and reaches at a point Q. If the distance between P and Q is 120 m then the speed of the current (in km/h) is:
Answer: D