Question 1
Eight people attend seminars in four different months (January, March, May, July) on two dates (5th and 15th). Two people attend per month. The constraints are:
- V attends in March
- S attends on the 15th
- Exactly two people attend between U and R
- W attends in the same month as P
In which month does U attend?
Step-by-step solution:
Timeline Grid Method:
1. Create month-date grid:
Jan 5 | Jan 15 | Mar 5 | Mar 15 | May 5 | May 15 | Jul 5 | Jul 15
2. Apply constraints:
- V in March (Mar 5 or Mar 15)
- S on 15th (any month, date 15)
- Two people between U and R
(If U at position 1, R at position 4)
- W and P in same month
3. Systematic placement:
- Place V at Mar 5 (satisfies March constraint)
- Place S at Mar 15 (satisfies 15th constraint)
- For 'two between' constraint: If U at Jan 5, R at Mar 15
- W and P together: May 5 & May 15
4. Verification:
All constraints satisfied with U in March
Key Strategy: Use grid to visualize all slots, apply direct constraints first, then deduce positions using gap constraints.
Timeline Grid Method:
1. Create month-date grid:
Jan 5 | Jan 15 | Mar 5 | Mar 15 | May 5 | May 15 | Jul 5 | Jul 15
2. Apply constraints:
- V in March (Mar 5 or Mar 15)
- S on 15th (any month, date 15)
- Two people between U and R
(If U at position 1, R at position 4)
- W and P in same month
3. Systematic placement:
- Place V at Mar 5 (satisfies March constraint)
- Place S at Mar 15 (satisfies 15th constraint)
- For 'two between' constraint: If U at Jan 5, R at Mar 15
- W and P together: May 5 & May 15
4. Verification:
All constraints satisfied with U in March
Key Strategy: Use grid to visualize all slots, apply direct constraints first, then deduce positions using gap constraints.