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
Which institution provided loan assistance to the Ministry of Skill Development for the SANKALP program, aimed at improving skill training and market co...
With his victory at the World IBSF Billiards Championship 2023 in Doha, Qatar, how many world titles has Pankaj Advani now secured?
The number of nominated members in the Lok Sabha by the President.
What unit is primarily used to measure distances between celestial bodies?
Ajit Ninan recently died due to cardiac arrest, best known for the 'Centrestage' series, contributed to which magazine where he gained recognition for ...
Which of the following banks is the TV broadcast sponsor for Indian Team In Asian Games?
Nobel Prize for economics 2022 was awared for the research in which of the following field?
K and L are brothers. M and N are sisters. K’s son is N’s brother. How is L related to M?
Who is revered as ‘Karnataka Sangeeta Pitamaha’?
THE GROSS non-performing assets (GNPA) of the country's scheduled commercial banks, which declined to a 10-year low of 3.9 per cent in March 2023, is e...