Question
How many students appeared in exam X or in exam
Z? Study the following information carefully and answer the given questions: There are 1000 students in a college. Out of 1000 students some appeared in exams ‘X’, ‘Y’ and ‘Z’ while some not. Number of student not appeared in any exam is equal to number of students appeared in exam ‘Z’ only. Number of students appeared in exam ‘Y’ is 360. Ratio of number of students appeared in exam ‘X’ and ‘Y’ only to number of students appeared in exam ‘Y’ and ‘Z’ only is 2:3. Number of student appeared in exam ‘X’ and ‘Z’ both is half of number of students appeared in only exam ‘Z’. Number of students appeared in exam ‘X’ only is 50% more than number of students appeared in ‘Y’ only. Number of students appeared in all the three exam is 4% of the total number of students in the college. Number of students appeared in ‘Y’ exam only is same as number of students appeared in ‘Y’ and ‘Z’ only.Solution
Total students = 1000 Let, students appear in exam Z only = a Total students appeared in exam Y = 360 Ratio of number of students appeared in exam X and Y only to students appeared in exam Y and Z only = 2:3 Students appeared in exam X and Z both = a/2 Number of students appeared in all three exams = (4/100) × 1000 = 40 Number of students appeared in Y exam only = No. of students appeared in Y and Z only = 3x Number of students appeared in exam X and Y only = (2/3) × 3x = 2x Now, 2x + 3x + 3x + 40 = 360 ⇒ x = 40 And, 12.5x + a + a/2 + a = 1000 => 5a/2 = 500 ⇒ a = 200 
Students appeared in exam X or in exam Z = 180 + 60 + 40 + 80 + 200 + 120 = 680
A train crosses a pilar in 20 seconds and a platform of length 300 metres in 25 seconds,then what will the 120% of the length of the train.
Two trains of same length are running in parallel tracks in the same direction with speed 90 km/hr and 120 km/hr respectively. The latter completely cro...
Two trains, Train X and Train Y, are traveling towards each other on parallel tracks between Stations A and B. How long will it take for Train X to meet...
A train 500 m long running at 108 km/hr takes 40 seconds to cross a bridge. The length of the bridge is
Time is taken by two trains running in opposite directions to cross a man standing on the platform in 24 seconds and 14 seconds respectively. It took 20...
Train ‘A’ running with a speed of 90 km/h crosses a pole in 7 seconds. If the time taken by train ‘A’ to cross train ‘B’ running with a spee...
Two trains of equal lengths take 20 seconds and 30 seconds respectively to cross a telegraph post. If the length of each train be 240 metres, in what ti...
1600 metres long train crosses a man who is moving in the same direction with a certain speed in 25 seconds. If the same train can cross a pole in 20 se...
A train 150 m long running at 36 km/hr takes 50 seconds to cross a bridge. The length of the bridge is
A train 450 metre long takes 45 sec to cross a man running at a speed of 4 km/hr in the direction same to that of train. What is the speed of the train?
Relevant for Exams:
