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### Math Deductive Reasoning Question

Math Deductive Reasoning Question - 4 February

Five students - Adam, Cabe, Justin, Michael and Vince appeared for a competitive exam. There were total five questions asked from them from which were multiple choice questions (a, b or c) and three were true/false questions. Their answers are given as follows:

Name I II III IV V

Cabe c b True True False

Adam c c True True True

Justin a c False True True

Michael        b a True True False

Vince a b True False True

Also, no two students got the same number of correct answers. Can you tell the correct answer? Also, what are their individual score?

1. In solution
- it's not true.
There can be 6 possibilities
1) 1 + 2 + 3 + 4 + 5 = 15
2) 0 + 2 + 3 + 4 + 5 = 14
3) 1 + 0 + 3 + 4 + 5 = 13
4) 1 + 2 + 0 + 4 + 5 = 12
5) 1 + 2 + 3 + 0 + 5 = 11
6) 1 + 2 + 3 + 4 + 0 = 10

2. Solution does not match the stated problem. The number of correct answers for Vince should be 2 not 3 and the problem has no solution.

If the stated problem is changed such that Vince's answers are
b, b, TRUE, FALSE, TRUE, then the given solution is correct.

1. You are right!

Vince answered < a, b, True, False, True > - only two of them are correct not 3.

3. B A FALSE FALSE TRUE ... idiots