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 While covering a distance of 24 km, a man noticed that after walking for 1 hour and 40 minutes, the distance covered by him was $\frac{5}{7}$ of the remaining distance. What was his speed in metres per second ? A) $1\frac{2}{4}$ m/sec B) $1\frac{2}{5}$ m/sec C) $1\frac{2}{3}$ m/sec D) $1\frac{2}{6}$ m/sec E) $1\frac{2}{5}$ m/sec
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 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 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
7 In covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay's speed is : A) 5 km/hr B) 7 km/hr C) 8 km/hr D) 4 km/hr E) 6 km/hr
8 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
9 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
10 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
11 A monkey climbing up greased pole ascends 5m and slips down 2 m in alternate minutes. If the pole is 35 m high, then the monkey will reach the top in A) 22 min B) 22 min 24 sec C) 11 min 36 sec D) 11 min 20 sec E) 11 min
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 X walked 35 m towards south, then turned left and walked 25 m and again turned left and walked for 35 m. He then turned to his right and walked 20 m. At what distance and direction from the starting point is X now standing? A) 20 m west B) 45 m east C) 20 m east D) 45 m north E) 35 m north
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
