Akshar remembers that an important match is scheduled after 26 April but before 30 April, while Suresh remembers that the same match is after 22 April but before 28 April. On which exact date in April must the match be held?

Introduction / Context:
This question is another logical reasoning puzzle where two people remember partial information about a date. To find the exact date of the match in April, you must interpret the phrases after and before correctly and then find the unique date that satisfies both statements at once.

Given Data / Assumptions:
- Akshar says the match is after 26 April but before 30 April. - Suresh says the match is after 22 April but before 28 April. - All dates refer to the same April of the same year. - Dates are whole numbers like 26, 27, 28, and so on.

Concept / Approach:
Each memory describes an interval of possible dates. After 26 April but before 30 April gives one set, and after 22 April but before 28 April gives another set. The correct match date is in both sets, which means we must compute their intersection. Translating the verbal clues into explicit lists of dates or simple inequalities makes this intersection easy to identify.

Step-by-Step Solution:
Step 1: Interpret Akshar statement. After 26 April means date is greater than 26. Before 30 April means date is less than 30. The possible dates based on Akshar memory are 27, 28, and 29. Step 2: Interpret Suresh statement. After 22 April means date greater than 22. Before 28 April means date less than 28. The possible dates based on Suresh memory are 23, 24, 25, 26, and 27. Step 3: Find common dates in both sets: Akshar set is {27, 28, 29}, Suresh set is {23, 24, 25, 26, 27}. Step 4: The only common date between these two sets is 27. Step 5: Therefore, the match must be on 27 April.

Verification / Alternative check:
Using inequalities, Akshar statement gives 26 less than date less than 30. Suresh statement gives 22 less than date less than 28. Combining both, we obtain 26 less than date less than 28. The only integer value in this range is 27. This method confirms that 27 is the unique date that meets both memories faithfully.

Why Other Options Are Wrong:
- 26 does not satisfy Akshar requirement, because the match must be after 26 April, not on 26 April. - 28 and 29 do not satisfy Suresh requirement, since his range ends before 28 April. - 25 lies before 26 and does not satisfy Akshar condition either.

Common Pitfalls:
Confusion often arises between inclusive and exclusive expressions. After a date is strictly greater, before a date is strictly less, and on or before means less than or equal to. Treating after 26 as including 26 or before 28 as including 28 results in multiple potential answers. Carefully noting these boundary conditions avoids errors and leads to the single correct date of 27 April.

Final Answer:
The match is scheduled on 27 April.