Data sufficiency for scheduling sequential events
Question
Six lectures A, B, C, D, E and F, each of one hour duration, are scheduled between 8:00 a.m. and 2:00 p.m. Consider the Question and two Statements given below: Question: Which lecture is in the third period? Statement-1: Lecture F is preceded by A and followed by C. Statement-2: There is no lecture after lecture B. Which one of the following is correct in respect of the Question and the Statements?
Options
Statement-1 alone is sufficient to answer the Question
Statement-2 alone is sufficient to answer the Question
Both Statement-1 and Statement-2 are sufficient to answer the Question
Both Statement-1 and Statement-2 are not sufficient to answer the Question
Explanation
Set up a grid with 6 available periods (1 to 6).
Statement 1 provides a strict, contiguous 3-block sequence: `A - F - C`. This block can slide anywhere across the 6 periods. Insufficient.
Statement 2 locks lecture B into the absolute final slot: `B` is at Period 6. Insufficient.
Combine both statements: We have 5 remaining slots (Periods 1 to 5) to fit the `A - F - C` contiguous block, along with the two floating lectures `D` and `E`. Let's test valid placements for the `A - F - C` block:
Because the 3rd period changes depending entirely on where the rigid sequence slides, no unique answer can be found.
Answer: (d).
Question details
Year
2022
Paper
CSAT
Question
Q50
Section
Data Interpretation & Sufficiency
Sub-topic
Puzzles
Type
Factual single
Difficulty
Medium
Source hint
Six lectures scheduling, which is 3rd period?
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