1 A dog takes 4 leaps for every 5 leaps of a hare but 3 leaps of a dog are equal to 4 leaps of the hare. Compare their speeds. A) 16:13 B) 17:15 C) 18:14 D) 16:15 E) 16:17
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 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.
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 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.
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 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 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
12 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
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
