Question
How many students appeared in two exams
only? 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 two exams only = 80 + 60 + 120 = 260
Two vehicles, named as 'X' and 'Y', travel along side-by-side paths but in opposite directions. The length of vehicle 'Y' surpasses that of 'X' by 12.5%...
A train is travelling at the rate of 45 km/hr. How many seconds it will take to cover a distance of 5/8 km?
Ravi decides to increase his cycling speed from 18 km/h to 24 km/h and ends up travelling 54 km more in the same amount of time. How far did he go at th...
A car running with a speed of 50 km/hr takes 8 hours to go from 'A' to 'B'. If on the way back from 'B' to 'A', the car takes 20% less time than it take...
The speed of a bike increases by 8 km/hr after every 1 hour. If the distance travelled by the bike in 1st hour is 12 km, the find the total distance tra...
Driving at 3/5 of my original speed I am 4 hours late for my office. What is my original time taken (km/h)?
The radius of a circular garden is 42 m. The distance (in m) covered by running 8 rounds around it, is: (Take )
A car travels at a speed of 60 km/h for 2 hours 30 minutes. What distance does it cover?
Anshul lives on 16th floor and Keshav lives on 49th floor. Anshul goes up at a rate of 28 floors per minute and Keshav comes down at a rate of 38 floo...
Excluding stoppage, the speed of the bus is 66 km/hr, and including stoppage, it is 55 km/hr. How many minutes does the bus stop per minute?
Relevant for Exams:
