Suppose there are four grades A, B, C, D. (A is the best and D is the worst) 4 persons Jack, Jean, Poul and Lucy wrote the final exam and made the statements like this:- 1. Jack: If I will get A then Lucy will get D. 2. Lucy: If I will get C then Jack will get D. Jack grade is better than Poul grade. 3. Jean: If Jean doesn't get A then Jack will not get A. 4. Poul: If Jack get A, then Jean will not get B, Lucy will get C, I won't either A or B. If all the above statements are true, then which person will get which grade?
CHAITRA IS CORRECT & HERE FOLLOWS THE DESCRIPTION OF HER ANS
according to 1) if JACK A then LUCY B if it is the caseaccording to 2) if LUCY C then JACK D this can also be possible 3) Now accrding to stmt that grade of JACK > PAUL case 2) should never be true otherwise JACK > PAUL will prove falseaccording to 3) let us assume that JACK & JEAN SHARE THE SAME GRADE A as stated and as it does not make any other stmts falseafter stmt 3 the case will look like this. A B C D JACK - - LUCY & JEANNow moving to 4) case this condition should not be true in any case since its truth will cause no harm to stmt 3) but will definately cause LUCY to get grade C and will make stmt 2) to be true and will contradict the case of JACK's grade being greater than PAUL. So in order to sustain trutfullnes of 2 and 3 we have to make slight modification in the arrangement of JACK & JEAN without contradicting 1 2 and 3 and this is possible if the arrangement is made like this. A B C D LUCY JACK PAUL JEAN
