Question

(i) Seven students P, Q, R, S, T, U and V take a series of tests.
(ü) No two students get similar marks.
(ii) V always scores more than P.
(iv) P always scores more than Q.
(v) Each time either R scores the highest and T gets the least, or alternatively S scores the highest and U or
Q scores the least.
22. If S is ranked sixth and Q is ranked fifth, which of the following can be true?
(a) V is ranked first or fourth. (b) R is ranked second or third.
(c) P is ranked second or fifth. (d) U is ranked third or fourth.
(e) T is ranked fourth or fifth.
23. If R gets most, V should be ranked not lower than
(a) second
(b) third
(c) fourth
(d) fifth
(e) sixth
24. If R is ranked second and Q is ranked fifth, which of the following must be true?
(a) Sis ranked third (b) T is ranked sixth. (c) Pis ranked sixth.
(d) V is ranked fourth (e) U is ranked sixth.
25. If S is rankeu second, which of the following can be true?
(a) U gets more than V. (b) V gets more than S. (C) P gets more than R.
(d) P gets more than V.* (e) T gets more than Q.​

Answer 1

22.d)

23.a)

24.d)

25.d)

I hope this answer is true.

Answer 2

Answer:

22.  (d) U is ranked third or fourth.

23. (c) fourth

24. (b) T is ranked sixth.

25. (a) U gets more than V.

Explanation:

• Information: According to the instructions,

       (i) P ≠ Q ≠ R ≠ S ≠ T ≠ U ≠ V

       (ii) V > P > Q

       (iii) Any of the following conditions must be fulfilled:

                 (a) R > (P,Q,S,U,V) >T

                 (b) S > (P,Q,R,V,T) > U

                 (c) S > (P,R,U,V,T) > Q

• Solutions:

22. Here 'S' is not highest, so 'R' must be at highest position(1st) and 'T' is at lowest position(7th).

Applying the condition of (iii)-(a) and 'Q' at 5th position, 'S' at 6th    position we can say : (a) V will never be at 1st place.

                                   (b)  R is at 1st place not at 2nd/3rd

                                   (c) P will never be at 5th position

                                   (d) U can be at 3rd or 4th position

The sequence can be : R > V > U > P > Q > S > T

                                or, R > V > P > U > Q > S > T

23. If 'R' gets most then 'T' will get least.

      From instruction (ii), P, Q must be less than V.

      'V' can't go less than 4th position as 5th, 6th and 7th positions are acquired by P,Q,T.

24. R = 2nd

     Q = 5th

    From instruction (iii) - (b), S = 1st and U = 7th

    From instruction (ii)  V = 3rd and  P = 4th

    The sequence can be : S > R > V > P > Q > T > U

25. S = 2nd

    From instruction (iii) - (a), R = 1st and T = 7th

    We can say: (a)V must be less that S

                         (b) No one can get more than R because R is maximum.

                         (c) From instruction (ii), P can't get more than V.

                         (d) T is the lowest, so T can't more than Q.