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A question is followed by 2 statements. Study the following statements carefully and state whether they are sufficient to answer the question. A student appears in an examination where his marks in biology is 20 marks more than what he got in Physics. Find his marks in biology? Statement I – Average marks of Physics and Chemistry is 71.5. The ratio of marks of Practical and Theory in Physics is 6 ∶ 5 and in chemistry, it is 15 ∶ 7. Statement II –Ratio of marks obtained in the theory exam of physics and chemistry is 1 ∶ 2. The ratio of marks of Physics and Chemistry is 5 ∶ 8.

A question is followed by 2 statements. Study the following statements carefully and state whether they are sufficient to answer the question. A student appears in an examination where his marks in biology is 20 marks more than what he got in Physics. Find his marks in biology? Statement I – Average marks of Physics and Chemistry is 71.5. The ratio of marks of Practical and Theory in Physics is 6 ∶ 5 and in chemistry, it is 15 ∶ 7. Statement II –Ratio of marks obtained in the theory exam of physics and chemistry is 1 ∶ 2. The ratio of marks of Physics and Chemistry is 5 ∶ 8. Correct Answer Both I and II is needed.

Given:

In statement I – Average marks of Physics and Chemistry = 71.5

Marks of Practical and theory = 6 ∶ 5(Physics)

Marks of Practical and theory = 15 ∶ 7(Chemistry)

Statement II – Marks of Physics and Chemistry = 5 ∶ 8

Theory marks of Physics and Chemistry = 1 ∶ 2

Concept:

Sum of Practical and Theory marks is equal to total marks of a subject. To find the answer, we need to calculate the marks of Physics, and from statements alone, it is not possible. The data from both the statement is required to calculate the individual marks.

Calculation:

From statement I;

Total marks of Physics and Chemistry = 71.5 × 2 = 143 marks

From statement II;

Marks of Physics and Chemistry = 5 ∶ 8 = 5x and 8x

⇒ 5x + 8x = 143

⇒ 13x = 143

⇒ x = 143/13 = 11

∴ Marks in Physics = 5x = 5 × 11 = 55.

∵ Marks in Biology = Marks in Physics + 20

⇒ Marks in Biology = 55 + 20 = 75 marks.

∴ Both I and II is needed

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