Correct Answer - Option 2 : 1560
Calculation:
In 2019:
Let the students who appeared in exam P and Students who appeared in exam Q be 7z and 9z.
Students who appeared in exam R = 125% of 9z
⇒ 11.25z
∴ 7z + 9z + 11.25z = 4360
⇒ 27.25z = 4360
⇒ z = 160
∴ students who appeared in exam P = 1120
∴ students who appeared in exam Q = 1440
∴ students who appeared in exam R = 1800
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
∴ Number of students cleared exam = 10% of 1120 + 20% of 1440 + 20% of 1800 + 20% of 960 + 10% of 1280 + 40% of 1200
⇒ 112 + 288 + 360 + 192 + 128 + 480
⇒ 1560
The students that cleared all three exams in these two years are 1560.