Instructions

Each question consists of a statement and/or a question followed by two statements I and II. Identify an option which provides sufficient data to answer the given question. Mark your answer as
A. if the data in statement I is sufficient and II is not required;
B. if the data in statement II is sufficient and I is not required;
C. if the data in both statements is necessary;
D. if the data in both statements is not sufficient to answer the question.

Question 52

Deepak's marks in Hindi are 15 more than the average marks obtained by him in Hindi, Economics, Sociology and Philosophy. What are his marks in Philosophy?
I. The total marks obtained by him in Hindi and Philosophy together is 12.
II. The difference between the marks obtained by him in Sociology and Economics is 120.

Solution

Let h,e,s and p represent the scores in Hindi, Economics, Sociology and Philosophy respectively.

$$h\ =\ 15+\ \frac{\ h+e+s+p}{4}$$

From statement I alone we can see that even though we know h+p = 12 we can't determine exact value of h

In statement II we see that s-e = 120. Even if we input this in the original equation, we won't be able to determine the exact value of h.

Using both statement together also does not give the definite value of h


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