Recently concluded Hay Festival in the Bangla Academy held two discussion sessions. The discussion leader of the festival was selecting two groups of books Group 1 and Group 2- for the sessions. She was choosing from seven books - T, U, V, W, X, Y, and Z. Group 1 would contain four of the books and Group 2 would contain the other three books. The leader must select the books for each group according to the following restrictions: • T cannot be in the same group as U. • If X was in Group 2, Z must also be in Group 2. • If Z was in Group 1, W must also be in Group 1. If X was in Group 2, which of the following must have been true?
D. Y was in the same Group as Z
E. Z was in the same Group as U
Explanation: X group 2 কে থাকলে Z কেও group 2 তে থাকতে হবে। Group 2 এর capacity 3 টি বই, এখন \(X\) ও \(Z\) group 2 তে আছে। আর একটা খালি spot এ হয় T নয়তো U বসবে (যেহেতু T ও U এক group এ থাকতে পারে না)। সুতরাং \(W\) কে group 1 এ থাকতে হবে।
