What is the qualifying mark?

A and B are shooters and having their exam. A and B fall short of 10 and 2 shots respectively to the qualifying mark. If each of them fired atleast one shot and even by adding their total score together, they fall short of the qualifying mark, what is the qualifying mark?
  • Interview Candidate
  • 1
  • 3664

Showing Answers 1 - 1 of 1 Answers

Mark Haynes

  • Jan 17th, 2012
 

The Qualifying Mark is: 11

Given:
A = the shots by A
B = the shots by B
Q = the Qualifying Mark

We know that:

A + 10 = Q
B + 2 = Q
A + B < Q
A >= 1
B >= 1

If A + B < Q and B + 2 = Q Then A < 2

If A >= 1 and all shots are of course whole numbers Then A = 1

If A = 1 then Q = 11
If Q = 11 then B = 9

Thus:

(A + 10 = Q)
1 + 10 = 11

(B + 2 = Q)
9 + 2 = 11

(A + B < Q)
1 + 9 < 11

(A >= 1)
1 >= 1

(B >= 1)
9 >= 1

  Was this answer useful?  Yes

Give your answer:

If you think the above answer is not correct, Please select a reason and add your answer below.

 

Related Answered Questions

 

Related Open Questions