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Raju studies in 7th standard. In a test he got 15th rank from the last. And there were 20 people between raju and his friend Ravi whose ranks were in between that of Ravi and Raju. If Ravi’s rank was 45 in the class from front, then maximum number of students in the class will be?

Raju studies in 7th standard. In a test he got 15th rank from the last. And there were 20 people between raju and his friend Ravi whose ranks were in between that of Ravi and Raju. If Ravi’s rank was 45 in the class from front, then maximum number of students in the class will be? Correct Answer 80

Now, Ravi’s rank is 45 from front and there are 20 people between Ravi and raju.

Case 1: If Ravi’s rank is better than Raju, then Raju’s rank would be 45 + (20 + 1) = 66, which is 15th from the last.

=> Number of people in the class = 66 + 15 - 1 = 80.

Case 2: If Raju’s rank is better than Ravi, then Raju’s rank would be 45 - (20 + 1) = 24, which is 15th from last.

=> Number of people in the class = 24 + 15 - 1 = 38 which is not possible as Ravi’s rank is 45.

So, this case is not possible.

Short Tricks

If the number of persons between them is ≤ (least person – 2) → then overlapping occurs.

If the number of persons between them is > (least person – 2) → then nonoverlapping occurs.

the maximum persons in that row = sum of all the values (In case of nonoverlapping).

i.e. = 15 + 20 + 45 = 80.

Hence, 80 is the correct answer.

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