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Given below is a question and two statement numbered I and II. Decide whether the data provided in the statements is sufficient/necessary to answer the question. Question: The total marks obtained by Arun, Bidan, Chameer and Druva in Sanskrit is 360. How many marks did Arun secure in Sanskrit? Statements: I. Arun Secure one-third marks of the total bidan, Chameer and Druva. II. Average marks obtained by Bidan and Chameer are 20 more than that secured by Druva.

Given below is a question and two statement numbered I and II. Decide whether the data provided in the statements is sufficient/necessary to answer the question. Question: The total marks obtained by Arun, Bidan, Chameer and Druva in Sanskrit is 360. How many marks did Arun secure in Sanskrit? Statements: I. Arun Secure one-third marks of the total bidan, Chameer and Druva. II. Average marks obtained by Bidan and Chameer are 20 more than that secured by Druva. Correct Answer Data in statement I alone is sufficient to answer the question.

According to question:

Arun + Bidan + Chameer + Druva = 360 ---- (1)

Statements:

I. Arun Secure one-third marks of the total Bidan, Chameer, and Druva.

Arun = 1/3 (Bidan + Chameer + Druva) 

So,

Bidan + Chameer + Druva = 3 × Arun --- (2)

Put the value of Sum of marks of Bidan, Chameer, and Druva in Equation (1)

Arun + 3 × Arun = 360

⇒ 4 × Arun = 360

⇒ Arun = 360/4

⇒ Arun = 90

The marks of Arun is 90.

So, this statement is sufficient to give the answer.

II. Average marks obtained by Bidan and Chameer are 20 more than that secured by Druva.

(Bidan + Chameer)/2 = Druva + 20

Bidan + Chameer = 2 × (Druva + 20) ---- (3)

Put the value of Sum of marks of Bidan and Chameer in Equation (1)

Arun + + Druva = 360

Arun + 3 × Druva = 40 = 360

Arun + 3 × Druva = 320

We can not find the marks of run from this statement.

Hence, Data in statement I alone is sufficient to answer the question.

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