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
Sara deposited Rs. 18,000 into an investment that offers a compound interest rate of 20% per annum, with semi-annual compounding. Calculate the interest...
Raj invests a certain amount, which grows to Rs. 7,200 at the end of 2 years and further increases to Rs. 8,640 at the end of 3 y...
A property dealer bought a rectangular plot in Noida five years ago at the rate of Rs. 1000 thousand per square meter, the cost of plot increases by 5% ...
Digvijay takes a loan of ₹25,000 at an annual compound interest rate of 10%. He repays ₹4,000 at the end of each year. How much should he pay at the...
The compound interest on a certain sum in 2.5 years at 10% p.a., interest compounded yearly, is 1,623. The sum is:
A sum of money invested at a certain rate of compound interest per annum amounts to ₹86,800 in 2 years and to ₹95,4800 in 3 years. Find the rate of ...
A man invests ₹50,000 in a scheme offering compound interest at 10% per annum, compounded annually. He withdraws ₹25,000 after 2 years. If he lets t...
A sum of money amounts to ₹12,960 in 2 years at compound interest. If the rate of interest is 10% per annum, what is the principal amount?
A sum of money is invested at a rate of 12% per annum compound interest for 2 years. If the total amount after 2 years is ₹11,520, what is the princip...
Raman invested Rs. 70,000 in a bank offering 10% compound interest per annum for 2 years. After 2 years, he used the total amount to start a business wi...
Relevant for Exams:
