The marks scored by a student in three subjects are in the ratio of 4 : 5 : 6. If the candidate scored an overall aggregate of 60% of the sum of the maximum marks and the maximum marks in all three subjects is the same, in how many subjects did he score more than 60%?Options :123None of the subjects
Question
The marks scored by a student in three subjects are in the ratio of 4 : 5 : 6. If the candidate scored an overall aggregate of 60% of the sum of the maximum marks and the maximum marks in all three subjects is the same, in how many subjects did he score more than 60%?Options :123None of the subjects
Solution
The student's scores in the three subjects are in the ratio of 4:5:6. This means that for every 15 (4+5+6) marks in total, the student scores 4 marks in the first subject, 5 in the second, and 6 in the third.
The student's overall aggregate is 60% of the maximum marks. Since the maximum marks in all three subjects are the same, this means that the student scored 60% of the total maximum marks across all three subjects.
To find out in how many subjects the student scored more than 60%, we need to compare the student's scores in each subject to 60% of the maximum marks in that subject.
In the first subject, the student scored 4 out of 15 marks, which is approximately 26.67%. This is less than 60%, so the student did not score more than 60% in this subject.
In the second subject, the student scored 5 out of 15 marks, which is approximately 33.33%. This is also less than 60%, so the student did not score more than 60% in this subject either.
In the third subject, the student scored 6 out of 15 marks, which is approximately 40%. This is still less than 60%, so the student did not score more than 60% in this subject.
Therefore, the student did not score more than 60% in any of the subjects. The answer is "None of the subjects".
Similar Questions
A student gets an aggregate of 60% marks in five subjects, in the ratio 10 : 9 : 8 : 7 : 6. The pass marks is 50% of the maximum marks for all the subjects. If each subject has the same maximum marks, in how many subjects did he pass the examination?radio_button_unchecked2radio_button_unchecked3radio_button_unchecked4radio_button_uncheckedCannot be determined
Select the correct answer2 students gave an examination. One of them scored 9 marks more than other and his marks were 56% of the sum of total of both their marks. What are their individual marks?Options50427484
A student took five papers in an examination, where the maximum marks were same for each paper. His marks in these papers were in the proportion of 3: 4: 9: 11: 13. In all papers together, the candidate obtained 60% of the total marks. Then, the number of papers in which he got less than 70% marks is .1234
In a class of 180 students, each student took three tests: Science, History, and Geography. The number of students who passed in the three tests were 90, 120, and 100 respectively. If none of the students failed in all three subjects and the number of students who passed in at least one subject was atmost 50% more than those who passed in at least two subjects, then maximum how many students passed in all three subjects?
Select the correct answerIn an examination it is required to get 441 of the aggregate marks to pass. A student gets 392 marks and is declared failed by 5% of marks. What are the maximum aggregate marks a student can get?Options98085015001000
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.