Five plays A, B, C, D and E are to be staged from Monday to Friday of a week. On a each day, only one play will be staged. D or E should not be either the first or last to be staged. E should be immediately followed by C. B should be staged immediately after D. One play is staged between A and B. Which is the first play to be staged ?

A. A

The Director of the Institute has announced that six guest lectures on different areas link Leadership, Decision Making, Quality Circles, Motivation, Assessment Centre and Group Discussion are to be organised only one on each day from Monday to Sunday.
  1. Motivation should be organised immediately after Assessment Centre.
  2. Quality Circle should be organised on Wednesday and should not be followed by Group Discussion.
  3. Decision Making should be organised on Friday and there should be a gap of two days between Leadership and Group Discussion.
  4. One day there will be no lecture (Saturday is not that day), just before that day Group Discussion will be organised.
How many lectures are organised between Motivation and Quality Circle ?

C. THREE

A sales representative plans to visit each of six companies M, N, P, Q, R and S exactly once during the course of one day. She is setting up her schedule for the day according to the following conditions :
(i). She must visit M before N and R.
(ii). She must visit N before Q.
(iii). The third company she visits must be P. If the sales representative visits Q immediately before R and immediately after S, she must visit Q :

D. FIFTH

A training college has to conduct a refresher course for teachers of seven different subjects -- Mechanics, Psychology, Philosophy, Sociology, Economics, Science and Engineering from 22nd July to 29th July.
  1. Course should start with Psychology.
  2. 23rd July, being Sunday, should be holiday.
  3. Science subject should be on the previous day of the Engineering subjects.
  4. Course should end with Mechanics subject.
  5. Philosopy should be immediately after the holiday.
  6. There should be a gap of one day between Economics and Engineering.
Which subject precedes Mechanics ?

E. NONE OF THESE

Six plays -- A, B, C, D, E and F are to be staged, one on each day from Monday to Saturday. The schedule of the plays is to be in accordance with the following :
(i) A must be staged a day before E.
(ii) C must not be staged on Tuesday.
(iii) B must be staged on the day following the day on which F is staged.
(iv) D must be staged on Friday only and should not be immediately preceded by B.
(v) E must not be staged on the last day of the schedule. Play D is between which of the following pairs of plays ?

D. C AND E