Yes! Now I am in 10th

In a school two exams are taken every year. First of 30 marks and second of 70 marks. In the first exam you require 10 marks to pass and in the second exam 23 marks. To be promoted you have to pass in both the exams. The combined marks are announced. Without knowing the separate marks at what minimum marks can I be sure that I have been promoted?


The answer is 80.

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3 solutions

Jesse Nieminen
Oct 27, 2016

Let's try to find the maximum number of marks one can get and not be promoted.

One can get at most 9 9 marks from the first exam to not pass it and thus if one fails the first exam, the maximum number of total marks is 9 + 70 = 79 9 + 70 = 79 .

One can get at most 22 22 marks from the second exam to not pass it and thus if one fails the second exam, the maximum number of total marks is 30 + 22 = 52 30 + 22 = 52 .

Hence, the maximum number of marks one can get and not be promoted is 79 79 , which means that the answer is 80 \boxed{80} , since with 80 80 marks, promotion is quaranteed.

Aditya Chauhan
Apr 30, 2015

80 is the lowest score (combined) All other scores can be achieved in the second exam(full) and so there wud be very less marks scored in the first one(below 10)

This problem is overrated

Aryan Gaikwad - 6 years, 1 month ago
Akash Gaonkar
Apr 29, 2015

For any score less than 70, all marks could have come from just the second exam. In order to see that both exams have been passed, we need at least 10 more marks that have no option except to come from the other test. Thus, we need at least 80 to know both tests had enough marks to pass.

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