Three teachers P, Q, R were talking about six students A, B, C, D, E and F who wrote an examination in Physics
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.BA 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.
When the results were announced, it was found out that Exactly two persons got the same ranks as predicted by P. one student got the same rank as predicted
by Q and one student got the same rank as predicted by R. Exactly two students, who were predicted to pass by P, failed. Exactly, one student, who was
predicted to pass by Q. failed. Exactly one student, who was predicted to pass by R, failed
Who is the 3rd ranker?
Answers
E is 3rd ranker
Step-by-step explanation:
Predictions :
1 2 3 4 Fail
P B D A C E & F
Q E B A F C & D
R A D F E B & C
Exactly two persons got the same ranks as predicted by P
one student got the same rank as predicted by Q
one student got the same rank as predicted by R
Exactly two students, who were predicted to pass by P, failed => E & F Did not Fail
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
Case 1
if A fails then B & D can not fail => A & C Fails
=> B - 1st D - 2nd
=> F 4th as per Q ,
D 2nd as per R
E will be 3rd
E is 3rd ranker
1 2 3 4 Fail
B D E F A & C
Case 2
if A does not fail then B & D Fail
=> A& C Pass ( E & F) Pass
A - 3rd , C - 4th ( R Predictions not satisfied) one student got the same rank as predicted by R
not possible
E is 3rd Ranker
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