**(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 ?**

** Option:**

**A.**S is ranked third.

**B.**T is ranked sixth.

**C.**P is ranked sixth.

**D.**V is ranked fourth.

**E.**U is ranked sixth.

**Answer: B . T is ranked sixth.**

** Justification:**

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.**