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Question

Read the following information carefully and answer the questions that follow
Six lectures 'A, B, C, D, E and F' are to be organised in a span of seven days - from Sunday to Saturday, only one lecture on each day in accordance with the following
(i) 'A' should not be organised on Thursday
(ii) 'C' should be organised immediately after F
(iii) There should be a gap of two days between 'E' and 'D'
(iv) One day there will be no lecture (Friday is not that day), Just before that day. 'D' will be organised.
(v) 'B' should be organised on Tuesday and should not be followed by 'D'.
How many lectures are organised between 'C' and 'D'?

A
None
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B
One
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C
Two
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D
Three
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E
None of these
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Solution

The correct option is B Three
B is on Tuesday. Let's take a look at Saturday, F can't be organised because it must be followed by C, D can't be organised because it must be organised before the "no lecture" day,.Since Friday is not "no lecture" day, this means D can't be organised on Thursday. Thus, E can't be organised on Saturday because there won't be any spot for D to have two days gap. Thus, only possible event on Saturday is A.
The only way to keep a gap of 2 days between E and D, having C immediately after F and D before the "no lecture" day is
D on Sunday, no lecture on Monday, B on Tuesday, E on Wednesday (2 days gap), F on Thursday, C immediately after on Friday and A on Saturday.

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