Question

Virat, Pujara and Rahane appear for an SBI PO Prelims exam. It is known that the minimum cutoff marks to clear the prelims exam is 60, and the maximum marks in the exam is 100. If Rahane scores 13 more than Virat and 10 less than Pujara, and the average of the marks scored by all the three together is 55; then find out how many candidates among these three candidates cleared the SBI PO Prelims exam.
5. 1

Answer 1

Correct Answer - Option 5 : 1

Given:

Maximum marks in the exam = 100

Minimum cutoff marks to clear the exam = 60

Marks scored by Rahane = Marks scored by Virat + 13

Marks scored by Rahane = Marks scored by Pujara – 10

Formula Used:

Average marks scored by all the candidates = Total of marks scored by all the candidates together/Total number of candidates

Calculation:

Let the marks scored by Rahane = x

So, the marks scored by Virat = x – 13, and

The marks scored by Pujara = x + 10

Total of the marks scored by them = 55 × 3 = 165

So, we get:

x + x – 13 + x + 10 = 165

⇒ 3x = 168

⇒ x = 56

Hence, we get:

Marks obtained by Rahane = 56

Marks obtained by Virat = 56 – 13 = 43

Marks obtained by Pujara = 56 + 10 = 66

∵ The minimum cutoff marks is 60, only Pujara, who has scored 66 marks, cleared the exam.

∴ The total number of candidates, among these three who cleared the SBI PO Prelims exam is 1