In the entrance examination of IIMs, there were 200 questions, each of which carries the same marks. A correct answer gets 2 marks and there is 100% negative marking. A total of 70 candidates took the exam and it was later found that the average marks obtained by these 70 candidates was 240. The candidates were not required to attempt all the questions. None of the candidates got more number of incorrect answers than correct answers.
When the scores of the top four students are deleted, the average score of the remaining 66 students falls by 6 marks. Assume that it is possible for two or more students to have the same net score. What is the minimum score possible for the fourth raking student if no student got a net score of more then 352?

280

No worries! We‘ve got your back. Try BYJU‘S free classes today!

300

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

308

No worries! We‘ve got your back. Try BYJU‘S free classes today!

320

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B 300
The sum of scores of top four students = 1356
Maximum possible score possible for top three students = 352 $\times$ 3 = 1056
Hence, the minimum possible score for the $4^{t h}$ student = 300

Suggest Corrections

Similar questions

In a Mock CAT, 123 students appeared and the average score obtained was 120. But later it was found that the top three students were repeaters, so their score has been eliminated and then the new average score was found to be decreased by 1.5. Also, it is known that all the students obtained the marks in integers and the scores of the toppers were distinct. If the second highest topper has scored more than 185 marks, then the highest possible score of the third highest topper is :

Q. In an examination, the maximum marks a student can score is 20 and the minimum is 12. The students score an average of 16 marks. 3 students score 18 or more. If the sum of the scores of all the students is 240, what is the maximum number of students who can score exactly 16 marks?

Q. There are

180

multiple choice questions in a test. A candidate gets

4

marks for every correct answer, and for every un-attempted or wrongly answered questions one mark is deducted from the total score of correct answers. If a candidate scored

450

marks in the test how many questions did he answer correctly?

Q. A candidate scores 35% and fails by 40 marks, while another candidate who scores 60% marks, gets 35 marks more than the minimum required marks to pass the examination. Find the maximum marks for the examination.

Q. The adjoining pie chart gives the marks scored in an examination by a student in Hindi, English, Mathematics, Social Science and Science. If the total marks obtained by the students were 540, answer the following questions:

(i) In which subject did the student score 105 marks?
(ii) How many more marks were obtained by the students in Mathematics than in Hindi?
(iii) Examine whether the sum of the marks obtained in Social Science and Mathematics is more than that in Science and Hindi.

Join BYJU'S Learning Program

The correct option is B 300The sum of scores of top four students = 1356 Maximum possible score possible for top three students = 352 × 3 = 1056 Hence, the minimum possible score for the 4th student = 300

The correct option is B 300
The sum of scores of top four students = 1356
Maximum possible score possible for top three students = 352 $\times$ 3 = 1056
Hence, the minimum possible score for the $4^{t h}$ student = 300