**Q1. A train X departs from station A at 11:00 am for station B, which is 180 km away. Another train Y departs from station B at 11:00 am for station A. train X travels at an average speed of 70 km/h and does not stop anywhere until it arrives at station B. Train Y travels at an average speed of 50 km/hr, but has to stop for 15 min at station C, which is 60 km away from station B enroute to station A. Ignoring the lengths of the trains, what is the distance (in km), from station A to the point where the trains cross each other? **

(a) 112

(b) 118

(c) 120

(d) 122

(e) 132

**Directions (2-3): Answer the questions based on the following information. **

**A thief, after committing the burglary, started fleeing at 12 noon, at a speed of 60 km/h. He was then chased by a policeman X. X started the chase, 15 min after the thief had started, at a speed of 65 km/h. **

**Q2. At what time did X catch the thief? **

(a) 3 : 30 pm

(b) 3 pm

(c) 3 : 15 pm

(d) 3 : 45 pm

(e) None of these

**Q3. If another policeman had started the same chase along with X, but at a speed of 60 km/h, then how far behind was he when X caught the thief? **

(a) 18.75 km

(b) 15 km

(c) 21 km

(d) 37.5 km

(e) None of these

**Q4. Boxes numbered 1, 2, 3, 4 and 5 are kept in a row and they are to be filled with either a red or a blue ball, such that no two adjacent boxes can be filled with blue balls. Then, how many different arrangements are possible, given that all balls of a given colour are exactly identical in all respects? **

(a) 8

(b) 10

(c) 15

(d) 22

(e) None of these

**Q5. Yashita starts working on a job and works on it for 12 days and completes 40% of the work. To help her complete the work, she employs Sahil and together they work for another 12 days and the work gets completed. How much more efficient is Yashita than sahil?**

(a) 50%

(b) 200%

(c) 60%

(d) 100%

(e) None of these

**Directions (6-7): Answer the questions based on the following information. **

**A company purchase components A and B from Germany and USA, respectively. A and B form 30% and 50% of the total production cost. Current gain is 20%. Due to change in the international scenario, cost of the German mark increased by 30% and that of USA dollar increased by 22%. Due to market conditions, the selling price cannot be increased beyond 10% **

**Q6. What is the maximum current gain possible? **

(a) 10%

(b) 12.5%

(c) 0%

(d) 7.5%

(e) None of these

**Q7. If the USA dollar becomes cheap by 12% over its original cost and the cost of German mark increased by 20%, what will be the gain? (The selling price in of altered) (**a) 10%

(b) 20%

(c) 15%

(d) 7.5%

(e) None of these

**Q8. From each of two given numbers, half the smaller number is subtracted. Of the resulting numbers the larger one is three times as large as the smaller. What is the ratio of the two numbers? **

(a) 2 : 1

(b) 3 : 1

(c) 3 : 2

(d) 2 : 3

(e) None of these

**Directions (9-11): Answer the questions based on the following information. **

**A certain race is made up of three stretches: A, B and C each 2 km long and to be covered by a certain mode of transport. The table given further gives these modes of transport for the stretches and the minimum and the maximum possible speeds (in km/h) over stretches. The speed over a particular stretch is assumed to be constant. The previous record for the race is 10 min. **

A | Car | 40 | 60 |

B | Motorcycle | 30 | 50 |

C | Bicycle | 10 | 20 |

**Q9. Anshuman travel at minimum speed by car over A and completes stretch B at the fastest speed. At what speed, should he cover stretch C in order to break the previous record? **

(a) Maximum speed for C

(b) Minimum speed for C

(c) Not possible to break the record

(d) Cannot be determined

(e) None of these

**Q10. Mr. Hare completes the first stretch at the minimum speed and takes the same time for stretch B. He takes 50% more time than the previous record to complete the race. What is Mr. Hare’s speed for the stretch C? **

(a) 10.9 km/h

(b) 13.3 km/h

(c) 17.1 km/h

(d) 12.3 km/h

(e) None of these

**Q11. Mr. Tortoise completes the race at an average speed of 20 km/h. His average speed for the first two stretches is 4 times that for the last stretch. Find the speed over stretch C. **

(a) 15 km/h

(b) 12 km/h

(c) 10 km/h

(d) Cannot be determined

(e) None of these

**Q12. Neeraj has agreed to mow the farm lawn, which is 20 m by 40 m rectangle. The mower mows a 1 m wide strip. If Neeraj starts at one corner and mows around the lawn towards the centre, about how many times would he go round before he has mowed half the lawn?**

(a) 2.5

(b) 1.5

(c) 3.8

(d) 4.0

(e) 4.3

**Directions (13-15): Answer the following questions based on the information given below. **

**For admission to various affiliated colleges, a university conducts a written test with four different sections, each with a maximum of 50 marks. The following tables given the aggregate as well as the sectional cut-off marks fixed by six different colleges affiliated to the university. A student will get admission only if he/she gets marks greater than or equal to the cut-off marks in each of the sections and his/her aggregate marks are at least equal to the aggregate cut-off as specified by the college. **

Sectional cut-off marks | Aggregate cut-off marks | ||||

Section A | Section B | Section C | Section D | ||

College 1 | 42 | 42 | 42 | 176 | |

College 2 | 45 | 45 | 175 | ||

College 3 | 46 | 171 | |||

College 4 | 43 | 45 | 178 | ||

College 5 | 45 | 43 | 180 | ||

College 6 | 41 | 44 | 176 |

**Q13. Bhawna got calls from all colleges. What could be the minimum aggregate marks obtained by her? **

(a) 180

(b) 181

(c) 196

(d)176

(e) 184

**Q14. Charlie got calls from two colleges. What could be the minimum marks obtained by him in a section? **

(a) 0

(b) 21

(c) 25

(d) 35

(e) 41

**Q15. Aditya did not get a call from even a single college. What could be the maximum aggregate marks obtained by him? **

(a) 181

(b) 176

(c) 184

(d) 196

(e) 190