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
“Nalanada - Until we meet again”, a book written by which of the following authors?
When is ISRO’s PSLV-C61 / EOS-09 satellite launch scheduled?
The United Kingdom has marked the ____ anniversary of Queen Elizabeth II’s rule, the queen looked to the future of the monarchy.
In FY24, what was the value of GST evasion detected in the online gaming sector?
In December 2021, Prime Minister Narendra Modi has been conferred with the highest civilian award of __________, Ngadag Pel gi Khorlo, on the occasion o...
What is the purpose of the successful maiden test trial of ‘ADC-150’ conducted by DRDO and Indian Navy from IL 38SD aircraft off the coast of Goa on...
What is the purpose of the new Rangeen Machhli app launched by the Indian government?
Which of the following is correct about RBI's Unified Lending Interface (ULI)?
Prime Minister Narendra Modi inaugurated the Saryu Nahar National Project in Balrampur, ___________.
Which northeastern capital became the fourth to get a railway connection in 2025?
Relevant for Exams:
