**Directions (1 – 5): A bridge ‘AB’ has a single railway track spanning its entire width. A dog is standing on the bridge 20 m away from the center of the bridge towards A. The dog sees a train coming at a constant speed of 72 km/hr. The distance of the train (assumed as a point object) from the nearer end (point A) of the bridge is twice the length of the bridge. If the dog runs towards the train at a constant speed, it will get off the bridge safely when the train is still 50 m away from the bridge. If it runs away from the train at the same constant speed, the train will hit it when it is still 12.5 m from the end of the bridge. A cow is also standing on the same bridge at a distance ‘d’ from point A. Length of bridge AB is an integral value.**

**Q1. What would be value of ‘d’ (in m) in which train hit the cow at A, if it starts running (with the same speed of dog) towards the train? **

(a) 20

(b) 30

(c) 40

(d) 50

(e) 60

**Q2. Length of ‘AB’?**

(a) 100 m

(b) 120 m

(c) 150 m

(d) 200 m

(e) None of these

**Q4. A box contains 8 red, 4 green & 5 pink gems. A table top is to be decorated with 10 gems. What is the probability that the decoration contains at least 5 red & 3 pink gems and also all three colored gems are there?**

(a) 560/2431

(b) 280/2431

(c) 140/2431

(d) 700/2431

(e) 420/2431

**Q5. A man can cover a distance of 20 km in ‘t’ hours. One day after covering half distance, he stuck in a traffic jam in which 10 minutes got wasted. Now to reach the place 20 minutes earlier than his usual time, by what percent should he increase his speed?**

(a) 33.33%

(b) 25%

(c) 20%

(d) Cannot be determined

(e) 37.5%

**Directions (6-10): Total 225 people are asked about what type of movies they like. 30 people said they liked only Action movies, 50 said they liked only Fictions movies and 1/3 of total number of people liked only Horror movies. People who like Fiction and Horror movies but not Action movies are 1/3 of the number of people who like only Horror. People who like Action and Fiction movies but not Horror movies are 1/4 of the sum of people who like only Action movies and people who like only Fiction movies. Number of people who like Action and Horror movies but not like Fiction movies are 1/15 of total number of people. Every person like at least one type of movie.**

**Q6. Find the probability that one person is chosen among them and he like action and fiction movies?**

(a) 3/5

(b) 2/15

(c) 2/45

(d) 4/45

(e) None of these

**Q7. Find the ratio between number of people who like Horror movies to total number of people surveyed?**

(a) 5 : 9

(b)1 : 3

(c)4 : 9

(d)2 : 9

(e) None of these

**Q8. Number of people who like Fiction movies are what percent of the number of people who like only Fiction movies?**

(a) 100%

(b)145%

(c) 210%

(d) 150%

(e) None of these

**Q9. What is the number of people who like all three types of movies? **

(a) 70

(b) 25

(c) 15

(d) 20

(e) None of these

**Q10. What is the number of people who like exactly two types of movies?**

(a) 60

(b) 70

(c) 155

(d) 75

(e) None of these

**Solutions**