1. Two horses start trotting towards each other, one from A to B and another from B to A. They cross each other after one hour and the first horse reaches B, 5 /6 hour before the second horse reaches A. If the distance between A and B is 50 km. What is the speed of the slower horse?
2. Pankaj walked at 5 km/h for certain part of the journey and then he took an auto for the remaining part of the journey travelling at 25 km/h. If he took 10 hours for the entire journey, what part of journey did he travelled by auto if the average speed of the entire journey be 17 km/h :
3. Two trains A and B start simultaneously in the opposite direction from two points P and Q and arrive at their destinations 16 and 9 hours respectively after their meeting each other. At what speed does second train B travel if the first train travels at 120 km/h per hour:
4. Abhinav started for the station half a km from his home walking at 1 km/h to catch the train in time. After 3 minutes he realised that he had forgotten a document at home and returned with increased, but constant speed to get it succeded in catching the train. Find his latter speed in km/h:
5. Train X starts from point A for point B at the same time that train Y starts from B to A. Point A and B are 300 km apart. The trains are moving at a constant speed at least at 25 km/h. The trains meet each other 3 hours after they start. If the faster trains takes at least 2 more hours to reach the destination. By which time will the slower train have definitely reached its destination? (Ignoring the length of trains in crossing)
Directions (Q.6-10): Study the following information carefully and answer the given question.
A, B, C, D, E, F, G and H are sitting around a square table in such a way that four of them sit at four corners of the square while four sit in the middle of each of the four sides. The one who sit at the four corners face the centre of the table while those sit in the middle of the sides face outside. Each one of them likes a different subject viz. Mathematics, Hindi, English, Biology, Chemistry, Physics, History and Geography. (None of the information given is necessary in the same order).
C sits third to left of the one who likes Geography. The one who likes Geography faces outside. Only two people sit between C and H. The one who likes Mathematics sits to immediate right of H. The one who likes Chemistry sits second to the right of G. G is neither an immediate neighbour of H nor C. G does not like Geography, only one person sits between A and the one who likes Chemistry. D sits to immediate left of the one who likes Physics. G does not likes Physics. E likes History. E is not an immediate neighbour of A. The one who likes Hindi is an immediate neighbour of E. The one who likes Biology is an immediate neighbour of F.
6. Who amongst the following sits diagonally opposite the one who likes Mathematics?
7. Who amongst the following represents the immediate neighbour of the one who likes Chemistry?
8. Who amongst the following sits exactly between H and B?
9. Which of the following is true regarding B?
10. What is the position of the one who likes Physics with respected to G?
Directions (11-15): Read each sentence to find out whether there is any grammatical error or idiomatic error in it. The error, if any, will he in one part of the sentence. The number of that part is the answer. If there is 'No error', the answer is 'e'.
11. The chief idea of (a)/ very common type of traveller (b)/ is to see as many objects of (c)/ interest as he possibly could.(d)/ No error (e)
12. The demand of the workers’s union (a)/ that the dismissed employees (b)/ to be reinstated, has been (c)/ accepted by the management. (d)/ No error (e)
13. When he went out (a)/ he left the radio on (b)/ so that his parents shall think (c)/ that he was still in the house. (d)/ No error (e).
14. The foremost criterion of selection we adopted (a)/ were the number of years of training (b)/ a dancer had received (c)/ under a particular guru. (d)/ No error (e).
15. I can’t understand why (a)/ he did not told me (b)/ the reason (c)/ for his absence. (d)/ No error (e).