Question

Comprehension

The information given below is regarding the number of students who appeared in three different exams P, Q, and R in four different years 2017, 2018, 2019, and 2020.

In 2017:

Students who appeared in exam P was twice the students who appeared in exam Q. Total students who appeared in three exams together was 3280. Students who appeared in exam Q was 80 more than students who appeared in exam R.

In 2018:

Students who appeared in exam Q were 40% more than students who appeared in exam P while students who appeared in exam R were 20% more than students who appeared in exam Q. Total students who appeared in all three exams together was 4896.

In 2019:

The ratio of students who appeared in exam P to exam Q was 7 : 9. Students who appeared in exam R was 25% more than students who appeared in exam Q. Total students who appeared in all three exams together was 4360.

In 2020:

The average of students who appeared in exams P and Q was 1120. Students who appeared in exam R was 1200. The ratio of students who appeared in exam P to exam R was 4 : 5.

1. 15,856
2. ​15,906
3. 15,976
4. 15,914
5. 15,954

Answer 1

Correct Answer - Option 3 : 15,976

Calculation:

Total number of students in 2017 = 3280

Total number of students in 2018 = 4896

Total number of students in 2019 = 4360

In 2020:

Students who appeared in exam P = 1200/5 × 4

⇒ 960

Students who appeared in exam Q = 1120 × 2 - 960 

⇒ 1280

Students who appeared in exam R = 1200

∴ Total students who appeared = 960 + 1280 + 1200

⇒ 3440

∴ Total Students who appeared in all the years = 3280 + 4896 + 4360 + 3440

⇒ 15,976

The total number of students who who appeared in all three exams in all four years together is 15,976.