The following table shows the percentage of marks obtained by five students in four subjects in an examination.
Student/Subject Maths Physics Chemistry Computer Science
A 90% 65% 76% 64%
B 67% 93% 55% 56%
C 85% 61% 70% 80%
D 59% 75% 84% 91%
E 94% 48% 99% 99%
How many students scored more than 60% of marks in all the four subjects?
- A4
- B2
- C5
- D3
Solution & Step-by-step Explanation
Let's check each student to ensure all marks are >60%:
Student A: 90%, 65%, 76%, 64% → All subjects >60% (Yes)
Student B: 67%, 93%, 55%, 56% → Chemistry (55%) and Computer Science (56%) are ≤60% (No)
Student C: 85%, 61%, 70%, 80% → All subjects >60% (Yes)
Student D: 59%, 75%, 84%, 91% → Maths (59%) is ≤60% (No)
Student E: 94%, 48%, 99%, 99% → Physics (48%) is ≤60% (No)
Thus, exactly 2 students (A and C) scored more than 60% in all four subjects.
Student A: 90%, 65%, 76%, 64% → All subjects >60% (Yes)
Student B: 67%, 93%, 55%, 56% → Chemistry (55%) and Computer Science (56%) are ≤60% (No)
Student C: 85%, 61%, 70%, 80% → All subjects >60% (Yes)
Student D: 59%, 75%, 84%, 91% → Maths (59%) is ≤60% (No)
Student E: 94%, 48%, 99%, 99% → Physics (48%) is ≤60% (No)
Thus, exactly 2 students (A and C) scored more than 60% in all four subjects.