Multiple choice

Passage

Directions: Read the information carefully and answer the question. Given below is the information regarding to the result of Beauty, Sweety and Madhu in internal exams of class 12 th . There are total 5 subjects i.e. English, Hindi, Physics, Chemistry and Mathematics, each carrying different maximum marks. English and Hindi both carry equal maximum marks i.e. 35. Physics carries 5 more maximum marks than English and 10 more maximum marks than Chemistry. Total of maximum marks of the 5 subjects is 160. Madhu scored 60% in English, while Sweety scored 50% in the same subject. Beauty scored only 13.5 marks in English. Beauty scored 24 marks in Hindi, which is 60% more than the marks scored by Sweety in the same subject. The total of the marks of 3 students in Hindi is 58. Madhu scored 15.5 marks in Physics, while Sweety scored 35% in the same subject and Beauty scored highest in Physics with 29 marks. Beauty scored 40% in Chemistry, which is % less than the marks of Sweety in the same subject. Score of Madhu in Chemistry is 14. The sum of marks of Beauty and Sweety in Mathematics is 32, while the ratio of the same is 9 : 7. Madhu scored 77.5% marks in Mathematics.

What are the average marks scored by the 3 students in Mathematics?

  1. 15.53

  2. 15.83

  3. 15.89

  4. 15.80

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The maximum marks in Mathematics are 160 - (35 + 35 + 40 + 30) = 20. Beauty and Sweety together scored 32 in Mathematics in the ratio 9:7, so their scores are 18 and 14; Madhu scored 77.5% of 20, or 15.5. Their average is (18 + 14 + 15.5)/3 = 15.83 approximately.

AI explanation

First determine the maximum marks for Mathematics from the passage details: English and Hindi are 35, Physics is 40, Chemistry is 30, and Mathematics is 20. The sum of marks for Beauty and Sweety is 32, and with a ratio of 9:7, Beauty scored 32 * (9/16) = 18 marks and Sweety scored 32 * (7/16) = 14 marks. Madhu scored 77.5% in Mathematics, which is 20 * 0.775 = 15.5 marks. Using the average formula, the average marks scored by the 3 students in Mathematics is (18 + 14 + 15.5) / 3 = 47.5 / 3 = 15.83.

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