Six lectures A, B, C, D, E and F , each of one hour duration, scheduled between 8:00 am and 2:00 pm

Consider the following question and two statements:

Question: Which lecture is in the third period?

Statement-1: Lecture F is preceded by A followed by C .

Statement-2: No lecture after lecture B .

Which of the following is correct regarding the question and the statements?

This question was previously asked in
UPSC Civil Services Prelims (CSAT) Official Paper-II (Held On: 5 June 2022)
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  1. Statement-1 alone is sufficient to answer the question
  2. Statement-2 alone is sufficient to answer the question.
  3. Both statement-1 and statement-2 are sufficient to answer the question
  4. Both statement-1 and statement-2 are not sufficient to answer the question

Answer (Detailed Solution Below)

Option 4 : Both statement-1 and statement-2 are not sufficient to answer the question
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Detailed Solution

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The correct answer is Option 4.

Key Point:

  • Given : Statement-1: Lecture F is preceded by A followed by C. Statement-2: No lecture after lecture B .
  • Case 1 : AFC_ _ B
  • Case 2 : _AFC_B
  • Case 3 : _ _ AFCB
  • It’s pretty evident that neither of the two statements is sufficient alone.  So, even by using both the statements we cannot determine the answer. 
  • Even on combining the two, we get multiple possible cases
  • Hence in Statement 1 there are many possibilities. 
  • There may be even more cases as it’s not necessary that A, F and C are consequent lectures.
  • Hence Option 4 is correct. 
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