Consider the given question and decide which of the following statement is sufficient to answer the question. If the total marks obtained by 5 students is 500. The average marks of the first 2 students are 150. Marks obtained by the third students are Statements: 1. Average marks obtained by the last two students are 50. 2. Marks obtained by 4th students are 25.?

Option 3 : 1 alone is sufficient while 2 alone is not sufficient to answer the given question.

Given:

Marks obtained by 5 students = 500

Total marks of first two student = 150 × 2 = 300

Formula used:

Average = (Sum of terms)/(No. of terms)

From statement 1:

Average marks of last two students = 50

⇒ Total marks of the two students = 50 × 2 = 100

⇒ Total marks of first two and last two students = 300 +100 = 400

⇒ Thirds students marks = 500 - 400 = 100

From statement 2:

Marks of 4th student = 25

⇒ We can't find marks of the third student using only statement 2

∴ 1 alone is sufficient while 2 alone is not sufficient to answer the given question