Directions (1-5): 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.
Q1. 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
Q2. 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
Q3. 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
Q4. 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
Q5. 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
Directions (6-10): Given below is the line graph which shows the time taken by five pipes M, N, O, P and Q to fill a tank individually in minutes. Table shows the pipes which remain open to fill the same tank on different days of week
Q6. If on Monday pipe M works with a efficiency of 120 % and both pipe M and P on Monday remained open for 7 minutes but alternatively on each minute starting with M. Remaining part of the tank is filled on next day. What is the total time for which pipe P remained open on both days if next day all pipes filled the tank together?
(a) 12 min 15 sec
(b) 16 min 18 sec
(c) 18 min 15 sec
(d) 17 min 12 sec
(e) 20 min 10 sec
Q7. On Wednesday tank is filled by both pipes working simultaneously but on Thrusday all pipes work alternatively on each minute starting from pipe N then O and then P. Find the difference in time taken to fill the tank on Wednesday and the time taken be fill tank on Thursday.
(a) 5 min
(b) 18 min
(c) 15 min
(d) 20 min
(e) 25 min
Q8. If on Friday 36 litre of water per minute is filled by both the pipes then, amount of water filled by pipe P on Monday is what percent of amount of water filled by pipe Q on Friday.
(a) 80%
(b) 95%
(c) 90%
(d) 87.5%
(e) 75%
Q9. On Friday M worked with 120% of its efficiency and Q with 75% of its efficiency and they together can fill 162 litre of water in 12 min. On Monday if both the pipes (M and P) are working with a different efficiency then both pipes working together can fill 7/30 part of the tank in 8 min and if M is opened for 8 min and P is opened for 15 min then they can fill 157.5 litre of water. Find the ratio of time taken by M alone and time taken by P alone to fill tank according to new efficiency on Monday.
(a) 2 : 3
(b) 4 : 3
(c) 3 : 4
(d) 5 : 3
(e) 3 : 5
Q10. If rate of flow of pipe N is 18 litre/min, and cost incurred in filling 1 litre of water in the tank by pipe N, O and P is 12 Rs./L, 15 Rs./L and 10 Rs./L respectively, then find the total cost incurred in filling the tank on Tuesday if all the pipes filled the tank simultaneously.
(a) 10,665 Rs.
(b) 11,552 Rs.
(c) 12,666 Rs.
(d) 9,848 Rs.
(e) 8,440 Rs.
Solutions