CAT 2001 — QA Question 1
A student took five papers in an examination, where the full marks were the same for each paper. His marks in these papers were in the proportion of 6 : 7 : 8 : 9 : 10. In all papers together, the candidate obtained 60% of the total marks. Then the number of papers in which he got more than 50% marks is
Answer & solution
- A
2
- B
3
4
- D
5
Let the maximum marks for each of the paper = 100
∴ Total maximum marks = 5 × 100 = 500
Let the marks obtained by the student be 6x, 7x, 8x, 9x and 10x in each of the paper.
∴ 6x + 7x + 8x + 9x + 10x = 60% of 500
40x = 300
∴ x = 7.5
∴ The marks obtained in each of the paper will be 45, 52.5, 60, 67.5 and 75.
∴ In 4 papers he got more than 50% marks.
Hence, option (c).
Alternatively
Average of 6, 7, 8, 9 and 10 =
âµ 60% of marks = 8
∴ 50% of marks =
= 6.67
∴ The score in 4 of the subjects is more than 6.67.
Hence, option (c).