(i). Seven students P, Q, R, S, T, U and V take a series of tests.
(ii). No two students get similar marks.
(iii). V always scores more than P.
(iv). P always scores more than Q.
(v). Each time either R socres the highest and T gets the least, or alternatively S scores the highest and U or Q scores the least.
If R is ranked second and Q is ranked fifth, which of the following must be true ?
In terms of scores, we have :
V > P, P > Q i.e. V > P > Q.
If R scores the highest, we have R > ...... > T,
If S scores the highest, we have S > ...... > Q or S > ...... > U.
If R is ranked second, S will rank first and Q and U lowest. But Q ranks fifth. So, U ranks lowest. Also the order V > P > Q will be followed.
So ,the arrangement will be S > R > V > P > Q > ? > U. Thus, the sixth place will be occupied by T.