1 How many minutes does Aditya take to cover a distance of 400 m, if he runs at a speed of 20 km/hr ? A) $1\frac{1}{5}$ min B) $1\frac{1}{20}$ min C) $3\frac{1}{5}$ min D) $3\frac{1}{15}$ min E) $3\frac{1}{25}$ min
2 A cyclist covers a distance of 750 m in 2 min 30 sec. What is the speed in km/hr of the cyclist ? A) 18 km/hr B) 20 km/hr C) 22 km/hr D) 24 km/hr E) 23 km/hr
3 A man travelled from the village to the post-office at the rate of 25 kmph and walked back at the rate of 4 kmph. If the whole journey took 5 hours 48 minutes, find the distance of the post-office from the village. A) 21 km. B) 22 km. C) 23 km. D) 20 km. E) 24 km.
4 If a man walks at the rate of 5 kmph, he misses a train by 7 minutes. However, If he walks at the rate of 6 kmph, he reaches the station 5 minutes before the arrival the train. Find the distance covered by him to reach the station. A) 6 km. B) 7 km. C) 68 km. D) 9 km. E) 10 km.
5 A goods train leaves a station at a certain time and at a fixed speed. After 6 hours, an express train leaves the same station and moves in the same direction at a uniform speed of 90 kmph. This train catches up the goods train in 4 hours. Find the speed of the goods train ? A) 37 kmph. B) 36 kmph. C) 38 kmph. D) 39 kmph. E) 40 kmph.
6 Which of the following trains is the fastest ? A) 25 m/sec B) 1500 m/min C) 90 km/hr D) All the three speeds are equal
7 A man in a train notices that he can count 21 telephone posts in one minute. If they are known to be 50 metres apart, then at what speed is the train travelling ? A) 60 km/hr B) 70 km/hr C) 50 km/hr D) 40 km/hr E) 90 km/hr
8 A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot @ 4 km/hr and partly on bicycle @ 9 km/hr. The distance travelled on foot is : A) 14 km B) 18 km C) 16 km D) 20 km E) 12 km
9 Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour ? A) 15 min B) 20 min C) 10 min D) 25 min E) 18 min
10 Three persons are walking from a place A to another place B. Their speeds are in the ratio of 4 : 3 : 5. The time ratio to reach B by these persons will be : A) 15 : 20 : 14 B) 15 : 20 : 15 C) 15 : 20 : 12 D) 15 : 20 : 16 E) 15 : 16 : 18
11 A walks around a circular field at the rate of one round per hour while B runs around it at the rate of six rounds per hour. They start in the same direction from the same point at 7.30 a.m. They shall first cross each other at : A) 10 min B) 12 min C) 15 min D) 30 min E) 35 min
12 A train travelling at the speed of 45 km/hr crosses a platform in 15 seconds. What is the length of the train ? A) 130 m B) 140 m C) 112 m D) 115 m E) Cannot be determined
13 Two trains 132 m and 108 m in length are running towards each other on parallel lines at the rate of 32 km/hand another at 40 km/h. In what time they be closer to each other from the moment they meet ? A) 18 sec B) 15 sec C) 12 sec D) 9 sec E) 10 sec
14 Two persons ride towards each other from 2 places 55 km apart, one riding at 12 km/hr and the other 10 km/h. When will they be first 11 km apart .If they continue riding, after how much time will they be again 11 km apart? A) 2 h,1 h B) 3 h, 2h C) 1 h, 2 h D) 4 h, 2 h E) None of these
Each of the questions given below consists of two statements numbered I and II given below it. Please read the questions carefully and decide whether the data provided in the statement(s) is / are sufficient to answer the given question. 15 The cities X, Y and Z are on a straight line. City Z is between X and Y. The distance from X to Y is $100$ km. How far is X from Z ? I. The distance from X to Y is $25\%$ more than the distance from Z to Y. II. The distance from X to Z is $\frac{1}{4}$ of the distance Z to Y A) I alone sufficient while II alone not sufficient to answer B) II alone sufficient while I alone not sufficient to answer C) Either I or II alone sufficient to answer D) Both I and II are not sufficient to answer E) Both I and II are necessary to answer