There are 3 badminton players in each stream-Commerce, Science and Arts. A, B and C are from Commerce. P, Q and R are from Science. J, K and L are from Arts. A team of 4 badminton players are to be sent for a tournament with following conditions:

(i) There must be at least one student from each stream.

(ii) P will not go with Q or R.

(iii) A and C will always go together.

(iv) K and L will always go together.

Which of the following combinations of players is a possible combination for the tournament?

Question

Question

This question was previously asked in

RRB NTPC CBT 2 (Level-5) Official Paper (Held On: 12 June 2022 Shift 1)

Answer 1

Given:

3 badminton players in each stream Commerce, Science and Arts.

Commerce: A, B and C

Science: P, Q and R

Arts: J, K and L

A team of 4 badminton players are to be sent for a tournament with following conditions:

(i) There must be at least one student from each stream.

Commerce	Science	Art
A / B / C	P / Q / R	J / K / L

(ii) P will not go with Q or R.

Commerce	Science	Art
A / B / C	P or (Q / R)	J / K / L

(iii) A and C will always go together.

Commerce	Science	Art
B / (A + C)	P or (Q / R)	J / K / L

(iv) K and L will always go together.

Commerce	Science	Art
B or (A + C)	P or (Q / R)	J or (K + L)

Now check all the options:

1) A, C, P, and J → True (All conditions are fulfilled)

2) A, Q, R, and J → False (A and C will always go together)

3) B, Q, J, and K → False (K and L will always go together)

4) B, P, R, and J → False (P will not go with Q or R)

Hence, “Option (1)” is the correct answer.