Multiple choice

How many marked did Tarun secure in English? I. The average mark obtained by Tarun in four subjects including English is $60$. II. The total marks obtained by him in English and Mathematics together are $170$. III. The total marks obtained by him in Mathematics and Science together are $180$.

  1. I and II only

  2. II and III only

  3. I and III only

  4. All I, II and III

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

We have 4 subjects. Let marks be E, M, S, O. I: E+M+S+O = 240. II: E+M = 170. III: M+S = 180. We have 3 equations but 4 variables (E, M, S, O). We cannot isolate E without knowing O or S individually.

AI explanation

Statement I gives the sum of four subjects as 4 times 60, which is 240. Statement II gives the sum of English and Mathematics as 170. Statement III gives the sum of Mathematics and Science as 180. Even by combining all three statements, we only get the sum of three variables (English, Mathematics, and Science) but the fourth subject remains unknown. Therefore, we cannot find the exact marks secured in English.

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