CAT 2001 | Question: 1

Question

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

• A. $2$
• B. $3$
• C. $4$
• D. $5$

Answer 1

Let,one subject is of 100 marks so total there are 5 subjects => 100*5 = 500.

Candidate obtained 60% of the total marks = $\frac{500*60}{100} =300$ marks 

Total Ratio =6 + 7 + 8 + 9 + 10 = 40

1st Subject Marks = $\frac{6*300}{40} =45$

2nd Subject Marks= $\frac{7*300}{40} =52.5$

3rd Subject Marks= $\frac{8*300}{40} =60$

4th Subject Marks= $\frac{9*300}{40} =67.5$

5th Subject Marks= $\frac{10*300}{40} =75$

There are 4 subject where he secured more that 50 %

 

Hence,(3).4 is the Answer.