three teacher P,Q,R were talking about 6 students A,B,c,d,e and f who wrote an examination in Physics
Answers
Given : Prediction by three teachers P , Q & R about 6 Students A , B , C , D , E & F about their exam in Physics and announce results
To Find : who got 3rd Rank
Solution:
Added Missing Data :
P predicted that B, D, A and C would get 1st, 2nd, 3rd and 4th ranks respectively and the other two would fail.
Q predicted that E,B,A and F would get 1st, 2nd, 3rd and 4th ranks respectively and the other two would fail.
R predicted that A, D, F and E would get 1st, 2nd, 3rd and 4th ranks respectively and the other two would fail.
Converetd this data in Table
Teacher 1 2 3 4 FAIL FAIL
P B D A C E F
Q E B A F C D
R A D F E B C
Announced result were as below :
Exactly two persons got the same ranks as predicted by P
Exactly one student got the same rank as predicted by Q
Exactly one student got the same rank as predicted by R
Exactly two students, who were predicted to pass by P, failed
=> E & F not Failed
Exactly, one student, who was predicted to pass by Q, failed.
=> A or B Failed
Exactly one student, who was predicted to pass by R, failed
=> A or D failed
As in total two students failed
Hence B & D failed or A & C Failed
Case 1 -
B & D failed
=> A , C , E & F got Rank
=> A & C got the same ranks as predicted by P
=> D should be 2nd Raker but D failed
Hence not possible
Case 2 -
A & C Failed
=> B & D got the same ranks as predicted by P
=> R Prediction for D is correct
=> F got 4th Rank
& E got 3rd Rank
1 2 3 4 FAIL FAIL
B D E F A C
E got 3rd Rank
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