Question
How many students appeared in at least two
exams? 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 at least two exams = 80 + 120 + 100 + 40 = 340
The maximum number of directors in a public company can be _______________ and it can be more than the said number if the company passes a______________...
Under what circumstances can any authority authorized by the Central Government detain an aircraft, as per the Aircraft Act?
Which of the following Amendment Act of the Constitution provides for the appointment of one person as Governor of two or more states?
Section 25 of The Limitation Act, 1963 deals with_______?
Under Negotiable Instrument Act 1881, a negotiable instrument may be negotiated
Which Article of the statute of ICJ provides for sources of International Law?
Which of the following is not true about the working of NGT?
Under which section of the Transfer of property Act "Transfer of Property" is defined?
Which type of share is issued by a company to its existing shareholders without receipt of any consideration from shareholders for issuance of such share?
Consumer Protection Act, 2019 is applicable to :
Relevant for Exams:
