Ex. 4. Read the following information carefully and answer the questions below it.
(i) Six friends P, 0. R, S, T and U are members of a club and play different game of Football (F), Cricket (e), Tennis (T), Basketball (Bb) , Badminton'(Bm)” and Volleyball (V) each.
(ii) T, who is taller than P and S, plays Tennis.
(iii) The tallest among them plays Basketball.
(iv) The shortest among them plays Volleyball.’
(v) R plays Volleyball.
(vi) Q and S neither play Volleyball nor Basketball.
(vii) T is between Q, who plays Football and P in order of height.
Sol. For solving this problem, draw truth-table between persons and games they play, and ranking of order of their heights, separately.
→ Information (ii) and (vii) together give ranking of heights of four persons in descending order, as Q. T, P, S,
Q. T, P, S,
→ All the information from (i) to (vii) help us to complete our table as given below.
→ Now from the information (iii), we get that the tallest person plays basketball. From the table, P and U can play basketball. But P can’t be the tallest as he is between T and S as given in ranking order. Hence, we conclude ‘from here that U is the tallest and plays football.
→ From information (v), we conclude, that R is the shortest,
On the basis of the conclusions we have derived, the final
→ form of ranking order and truth-table can be sketched as below: Ranking order in descending order.
U, Q, T, P, S, R
Q. 1. Which game does Splay?
(b) Either Cricket or Badminton
(e) None of the above
From the table, it can be concluded that S either plays
cricket or badminton, Hence, the correct answer is (b).
Q. 2.Who among them is taller than R but shorter than P ?
(b) Data inadequate
(e) None of these
Sol. From the ranking order, we observe that S is taller than R but shorter than P. However, this is not available in the options. Hence, the correct answer is (t).
Q. 3. Who will be at 3rd place if they are-arranged in the descending order of their, heights ?
(e) None of these
Sol. Clearly, T will be at 3rd position. Hence, the correct our
answer is (a) .