Question

What is the weighted averaged of marks obtained by Ashokan? I. Math, Science and English have weights 5, 4 and 3 respectively. II. Simply arithmetic mean of math and science is 140, which is twice his average of science and English

• A. If statement I alone is sufficient but statement II along is not sufficient to answer the question.
• B. If statement II alone is sufficient but statement I along is not sufficient to answer the question.
• C. If both statements I and II together are required to answer the question but neither statement alone is sufficient
• D. If statements I and II together are not sufficient to answer the question

Answer 1

Answer: (D)

If statements I and II together are not sufficient to answer the question

Answer 2

We have
$⇒ \frac{(M + S)}{2 }= 140$
$⇒ S + E = 140$
We cannot find values of his marks obtained from the above two equations and from (i) only weights of the subjects are given. To find the weighted average we need both weights and values of the subjects. So from (i) and (ii) we cannot solve the question. Hence, option D is the correct answer.