1 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
2 Saji can cover a certain distance in 1 hr. 24 min. by covering two-third of the distance at 4 kmph and the rest at 5 kmph. Find the total distance. A) 6 km B) 8 km C) 9 km D) 7 km E) 10 km
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 An aeroplane flies along the four sides of a square field at the speeds of 200, 400, 600 and 800 km/hr. Find the average speed of the plane around the field. A) 383 km/hr. B) 382 km/hr. C) 381 km/hr. D) 380 km/hr. E) 384 km/hr.
5 Walking at $\frac{5}{6}$ of its usual speed, a train is 10 minutes too late. Find its usual time to cover the journey. A) 60 min. B) 50 min. C) 70 min. D) 90 min. E) 100 min.
6 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.
7 A walk a certain distance and ride back taking a total time of 37 minutes. A could walk both ways in 55 minutes. How long would it take me to ride both ways ? A) 19 min. B) 18 min. C) 17 min. D) 16 min. E) 15 min.
8 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
9 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
10 A walks at 4 kmph and 4 hours after his start, B cycles after him at 10 kmph. How far from the start does B catch up with A ? A) 26.7 km B) 36.7 km C) 46.7 km D) 25.7 km E) 27.7 km
11 In 1760 m Race, A can beat B by 44 m. While in a 1320 m, B can beat C by 30m. By What distance will A beat C in a 880 m Race ? A) 40 m B) 40.5 m C) 41 m D) 41.5 m E) 42 m
12 A man standing on a 170 m long platform watches that a train takes $7\frac{1}{2}$ seconds to pass him and 21 seconds to cross the platform. Find the length of the train and its speed. A) $94\frac{4}{9}$ , $12\frac{16}{27}$ B) $92\frac{4}{9}$ , $12\frac{16}{27}$ C) $94\frac{4}{3}$ , $14\frac{16}{9}$ D) $94\frac{4}{3}$ , $14\frac{15}{9}$ E) None of these
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
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. 14 A car and a bus start from the town X at the same time. How far is the town Y from the town X ? I. The car travelling at an average speed of 40 km/hr reaches town Y at 4:35 pm. II. Th bus reaches town Y at 6:15 pm, at an average speed of 60 km/hr. 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
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