Akshar remembers that a match is after 26th April but before 30th April, while Suresh remembers that the match is after 22nd April but before 28th April. On which exact date in April is the match scheduled?

Introduction / Context:
This question is another logical date-range puzzle. Instead of dealing with weekdays, we focus on deducing a specific date from two overlapping memory-based conditions. It is an example of how simple inequalities on dates can be combined to get a unique solution, a useful skill for many aptitude and reasoning problems.

Given Data / Assumptions:

• Akshar remembers that the match is after 26th April but before 30th April.
• Suresh remembers that the match is after 22nd April but before 28th April.
• We must determine the exact date in April on which the match is held.
• All information refers to the same year and the same match.

Concept / Approach:
We translate each statement into a range of possible dates:

• After 26th April but before 30th April means 27th, 28th or 29th April.
• After 22nd April but before 28th April means 23rd, 24th, 25th, 26th or 27th April.

The true date must satisfy both conditions at the same time, so we find the intersection of these two sets of dates.

Step-by-Step Solution:
Step 1: Represent Akshar's condition: "after 26th April but before 30th April" → possible dates = 27, 28, 29. Step 2: Represent Suresh's condition: "after 22nd April but before 28th April" → possible dates = 23, 24, 25, 26, 27. Step 3: Find the intersection (common dates) between {27, 28, 29} and {23, 24, 25, 26, 27}. Step 4: The only date common to both sets is 27. Step 5: Therefore, the match must be scheduled on 27th April.

Verification / Alternative check:
Check the date 27th April against both conditions:

• Is 27th April after 26th April and before 30th April? Yes.
• Is 27th April after 22nd April and before 28th April? Yes.

Now check 28th April:

• 28th April is after 26th April and before 30th April, satisfying Akshar's condition, but it is not before 28th April, so it fails Suresh's condition.

Similarly, 26th April and 29th April do not satisfy both sets at the same time, confirming 27th April as the unique valid date.

Why Other Options Are Wrong:
26: Satisfies Suresh's range but fails Akshar's "after 26th" requirement because it is not after 26th.

28: Satisfies Akshar's "after 26th and before 30th" but fails Suresh's "before 28th" condition.

29: Satisfies Akshar's condition but is not included in Suresh's possible dates set.

25: Lies only in Suresh's range but not in Akshar's range, since it is not after 26th April.

Common Pitfalls:
Candidates often misread "after" and "before" as inclusive instead of exclusive, mistakenly including boundary dates that should be excluded. Another error is failing to list the possible dates explicitly and trying to reason purely in the head, which can lead to overlooking the unique intersection. Drawing a simple number line or writing down the sets of dates for each condition greatly reduces confusion.

Final Answer:
The match is scheduled on 27th April.