Bissoy.com
Doctors Medicines MCQs Q&A

A student took 5 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 total marks. Find the number of papers in which he got more than 50 marks.

A student took 5 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 total marks. Find the number of papers in which he got more than 50 marks. Correct Answer 4

Given:

A student took 5 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 total marks. 

Concept used:

Percentage

Calculation:

Let us assume full marks of each paper be 100

Total marks = 5 × 100 = 500

As per the question, 

⇒ (60/100) × 500 = 300 (obtained marks)

Marks in these papers were in the proportion

⇒ 6x + 7x + 8x + 9x + 10x = 300

⇒ 40x = 300

⇒ x = 7.5

Papers in which he gets more than 50 marks

⇒ 6x = 6 × 7.5 = 45

⇒ 7x = 7 × 7.5 = 52.5

⇒ 8x = 8 × 7.5 = 60

⇒ 9x = 9 × 7.5 = 67.5

→ 10x = 10 × 7.5 = 75

We can see that in 4 papers he scored more than 50 marks.

Related Questions

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
There are six persons Saurav, Harshita, Jay, Ashwini, Jagannath and Sakshi, who got different marks in the examination. Ashwini got more marks than all of them. Jay got more marks than two of them. Jagannath got less marks than only Ashwini. Saurav got less marks than 5 persons. Harshita got more marks than Jay while Sakshi got less marks than Jay. How many persons scored more marks than Sakshi?
Seven students – P, Q, R, S, T, U, and V got the highest marks in Mathematics test among all students. Their marks out of 50 are 40, 42, 45, 46, 48, 50 (not necessarily in the same order). Two students have got the same marks as 46. P has neither got the lowest marks nor 46. Q has got the highest marks. U has got higher marks than P. R has got lower marks than T whereas T got lower than P. S has got lower marks than U. Who among the following has got the same marks as 46?
The following qualifications are required for appointment to a certain post in a reputed multi-national company: A. Candidate must be MBA with 65% marks. B. Candidate must have passed the selection test with minimum 50% marks. C. The candidate must have secured a minimum of 65% marks in the interview. D. Candidate age should not be less than 23 years and more than 30 years as on 1 September 2018. In the case of the candidate, who fulfills all other criteria except: I. In case of (A) above, but he is an engineer with 50% marks, then the matter may be referred to Director for Recruitment. II. In case of (B) above, but he has a minimum of 2 years experience of working as an executive officer, the matter may be referred to the Chairman, Recruitment Committee. Below is the information regarding a candidate. Analyze it in the context of the above criteria and conditions and then decide the appropriate action. Do not assume anything other than the information given to you. Sohail Singh is an MBA with 76% marks. He has been working as an executive officer at his uncle's firm since December 2016. He has secured 72% marks in the selection test and 70% marks in the interview. His date of birth is 14 August 1993.
In an election for the Legislative Assembly constituency of Nagpur, three candidates are contesting – candidate A, candidate B and candidate C. The total number of registered voters in the constituency is 10000. Out of the total registered voters, 20% did not cast their vote, and a total of 10% of the total votes casted were declared as invalid. If the candidate A got 60% of the total valid votes polled and candidate B got 20% of the total valid votes polled, find out the percentage of the total number of registered voters who voted for the candidate C.
Four students A, B, C and D distributed 30 marbles among themselves. No two students got equal number of marbles. No student got more than 10 marbles. No student got less than 5 marbles. A and C got odd number of marbles. B and D got even number of marbles. A got more marbles than B, C got more marbles than D, B got more marbles than D.  What is the number of marbles with A? 
The conditions regarding selection from a list of suitable candidates to be called for interview after a written examination for appointment of management-level persons to a multi-national company providing accounting services and sales are mentioned below. Candidates: a) Must have a Bachelor's degree in Basic Science with 65% or more marks or BE with 55% or more marks. b) Must have passed the examination with 70% or more marks. c) Age must be between 25 to 30 years as of 1/4/18. d) Must have 3 years of experience in an Accounting Institution and must have a Diploma in Accounting with 60% or more marks. e) Must be currently getting CTC of Rs. 6 lakh or more per annum. If the candidate: 1) If he fulfills all the other conditions other than A above, he will be designated as Junior Accountant. 2) If he fulfills all the other conditions other than (d) and (e) above, he can be designated as Trainee-Accountant. If he fulfills all the above conditions including 5 years of experience, he can be designated as a Senior Accountant. He can be designated as Manager (Accounts) if he fulfills all the above criteria including educational qualifications of CA/ ICWA/ MBA (Finance). Study all the above information and answer the following question. Varun has passed the CA exam and has a bachelor's degree in basic science and a diploma in accountancy, having scored 75% or more in the written examination during his entire career and also in the written examination. His age is 27 years and with 4 years of experience in Accountancy, he has a CTC salary of 18 lakhs per annum. To which of the following positions can he be referred? Select from the given options.
The following qualifications are required for appointment to a certain post in a reputed multinational company: A. Candidate must be MBA with 65% marks. B. Candidate must have passed the selection test with the minimum of 50% marks. C. The candidate must have secured a minimum of 65% marks in the interview. D. Candidate age should not be less than 23 years and more than 30 years as of 1 September 2018. In the case of the candidate, who fulfills all other criteria except: I. In case of (A) above, but he is an engineer with 50% marks, then the matter may be referred to Director for Recruitment. II. In the case of (B) above, but he has a minimum of 2 years experience of working as an executive officer, the matter may be referred to the Chairman, Recruitment Committee. Below is the information regarding a candidate. Analyze it in the context of the above criteria and conditions and then decide the appropriate action. Do not assume anything other than the information given to you. Shweta Sharma did her MBA through Open School after completing Mechanical Engineering. She secured 55% marks in MBA and 75% marks in the Engineering course. She scored 65% in the selection test and 70% in the interview. Her date of birth is 25 December 1992.
Raj gives the senior secondary examination from C.B.S.E. Board. He took five papers in an examination having the same maximum marks for each. His marks were in the proportion 4 ∶ 5 ∶ 9 ∶ 10 ∶ 12. In all subject together he obtained 40% of the total marks .Then, the number of subjects in which he got: a) Less than 50% are 3. b) Less than 70% are 2. c) More than 60% are 3. Choose the correct option(s): 
In an examination, there were three subjects Hindi, Maths, and Science. Marks scored by Karan in Hindi is 60. Marks scored by Karan and Lokesh in Maths is equal. Marks scored in 3 subjects by Lokesh is 200. Marks scored by Lokesh in science is 25 % of total marks obtained. Marks scored by Mohit in Hindi is equal to marks scored by Lokesh in Maths. Marks scored in Maths by Mohit is 5 more than the marks scored in Hindi. Marks scored in Maths by Lokesh is 20 more than marks scored in Science. Marks obtained by Karan, Lokesh, and Mohit in Hindi are what percent of marks obtained by Karan, Lokesh, and Mohit in Maths?