Month-Date Scheduling | Worksheet 7/10 - Intermediate-Advanced self...

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: - W attends in March - S attends on the 15th - Exactly two people attend between V and Q - R attends in the same month as U In which month does V 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:
- W in March (Mar 5 or Mar 15)
- S on 15th (any month, date 15)
- Two people between V and Q
(If V at position 1, Q at position 4)
- R and U in same month

3. Systematic placement:
- Place W at Mar 5 (satisfies March constraint)
- Place S at Mar 15 (satisfies 15th constraint)
- For 'two between' constraint: If V at Jan 5, Q at Mar 15
- R and U together: May 5 & May 15

4. Verification:
All constraints satisfied with V in March

Key Strategy: Use grid to visualize all slots, apply direct constraints first, then deduce positions using gap constraints.

Question 2

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: - Q attends in March - S attends on the 15th - Exactly two people attend between T and W - P attends in the same month as R In which month does T 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:
- Q in March (Mar 5 or Mar 15)
- S on 15th (any month, date 15)
- Two people between T and W
(If T at position 1, W at position 4)
- P and R in same month

3. Systematic placement:
- Place Q at Mar 5 (satisfies March constraint)
- Place S at Mar 15 (satisfies 15th constraint)
- For 'two between' constraint: If T at Jan 5, W at Mar 15
- P and R together: May 5 & May 15

4. Verification:
All constraints satisfied with T in March

Key Strategy: Use grid to visualize all slots, apply direct constraints first, then deduce positions using gap constraints.

Question 3

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: - P attends in March - R attends on the 15th - Exactly two people attend between S and U - W attends in the same month as T In which month does S 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:
- P in March (Mar 5 or Mar 15)
- R on 15th (any month, date 15)
- Two people between S and U
(If S at position 1, U at position 4)
- W and T in same month

3. Systematic placement:
- Place P at Mar 5 (satisfies March constraint)
- Place R at Mar 15 (satisfies 15th constraint)
- For 'two between' constraint: If S at Jan 5, U at Mar 15
- W and T together: May 5 & May 15

4. Verification:
All constraints satisfied with S in March

Key Strategy: Use grid to visualize all slots, apply direct constraints first, then deduce positions using gap constraints.

Question 4

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: - U attends in March - R attends on the 15th - Exactly two people attend between S and Q - T attends in the same month as W In which month does S 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:
- U in March (Mar 5 or Mar 15)
- R on 15th (any month, date 15)
- Two people between S and Q
(If S at position 1, Q at position 4)
- T and W in same month

3. Systematic placement:
- Place U at Mar 5 (satisfies March constraint)
- Place R at Mar 15 (satisfies 15th constraint)
- For 'two between' constraint: If S at Jan 5, Q at Mar 15
- T and W together: May 5 & May 15

4. Verification:
All constraints satisfied with S in March

Key Strategy: Use grid to visualize all slots, apply direct constraints first, then deduce positions using gap constraints.

Question 5

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: - P attends in March - T attends on the 15th - Exactly two people attend between W and U - V attends in the same month as R In which month does W 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:
- P in March (Mar 5 or Mar 15)
- T on 15th (any month, date 15)
- Two people between W and U
(If W at position 1, U at position 4)
- V and R in same month

3. Systematic placement:
- Place P at Mar 5 (satisfies March constraint)
- Place T at Mar 15 (satisfies 15th constraint)
- For 'two between' constraint: If W at Jan 5, U at Mar 15
- V and R together: May 5 & May 15

4. Verification:
All constraints satisfied with W in March

Key Strategy: Use grid to visualize all slots, apply direct constraints first, then deduce positions using gap constraints.

Question 6

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: - S attends in March - P attends on the 15th - Exactly two people attend between Q and R - W attends in the same month as T In which month does Q 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:
- S in March (Mar 5 or Mar 15)
- P on 15th (any month, date 15)
- Two people between Q and R
(If Q at position 1, R at position 4)
- W and T in same month

3. Systematic placement:
- Place S at Mar 5 (satisfies March constraint)
- Place P at Mar 15 (satisfies 15th constraint)
- For 'two between' constraint: If Q at Jan 5, R at Mar 15
- W and T together: May 5 & May 15

4. Verification:
All constraints satisfied with Q in March

Key Strategy: Use grid to visualize all slots, apply direct constraints first, then deduce positions using gap constraints.

Question 7

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: - P attends in March - R attends on the 15th - Exactly two people attend between V and W - T attends in the same month as Q In which month does V 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:
- P in March (Mar 5 or Mar 15)
- R on 15th (any month, date 15)
- Two people between V and W
(If V at position 1, W at position 4)
- T and Q in same month

3. Systematic placement:
- Place P at Mar 5 (satisfies March constraint)
- Place R at Mar 15 (satisfies 15th constraint)
- For 'two between' constraint: If V at Jan 5, W at Mar 15
- T and Q together: May 5 & May 15

4. Verification:
All constraints satisfied with V in March

Key Strategy: Use grid to visualize all slots, apply direct constraints first, then deduce positions using gap constraints.

Question 8

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 - P attends on the 15th - Exactly two people attend between R and U - T attends in the same month as Q In which month does R 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)
- P on 15th (any month, date 15)
- Two people between R and U
(If R at position 1, U at position 4)
- T and Q in same month

3. Systematic placement:
- Place V at Mar 5 (satisfies March constraint)
- Place P at Mar 15 (satisfies 15th constraint)
- For 'two between' constraint: If R at Jan 5, U at Mar 15
- T and Q together: May 5 & May 15

4. Verification:
All constraints satisfied with R in March

Key Strategy: Use grid to visualize all slots, apply direct constraints first, then deduce positions using gap constraints.

Question 9

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: - P attends in March - Q attends on the 15th - Exactly two people attend between U and V - W attends in the same month as T 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:
- P in March (Mar 5 or Mar 15)
- Q on 15th (any month, date 15)
- Two people between U and V
(If U at position 1, V at position 4)
- W and T in same month

3. Systematic placement:
- Place P at Mar 5 (satisfies March constraint)
- Place Q at Mar 15 (satisfies 15th constraint)
- For 'two between' constraint: If U at Jan 5, V at Mar 15
- W and T 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.

Question 10

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: - T attends in March - Q attends on the 15th - Exactly two people attend between V and S - U attends in the same month as W In which month does V 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:
- T in March (Mar 5 or Mar 15)
- Q on 15th (any month, date 15)
- Two people between V and S
(If V at position 1, S at position 4)
- U and W in same month

3. Systematic placement:
- Place T at Mar 5 (satisfies March constraint)
- Place Q at Mar 15 (satisfies 15th constraint)
- For 'two between' constraint: If V at Jan 5, S at Mar 15
- U and W together: May 5 & May 15

4. Verification:
All constraints satisfied with V in March

Key Strategy: Use grid to visualize all slots, apply direct constraints first, then deduce positions using gap constraints.

Question 11

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: - R attends in March - W attends on the 15th - Exactly two people attend between T and S - P attends in the same month as V In which month does T 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:
- R in March (Mar 5 or Mar 15)
- W on 15th (any month, date 15)
- Two people between T and S
(If T at position 1, S at position 4)
- P and V in same month

3. Systematic placement:
- Place R at Mar 5 (satisfies March constraint)
- Place W at Mar 15 (satisfies 15th constraint)
- For 'two between' constraint: If T at Jan 5, S at Mar 15
- P and V together: May 5 & May 15

4. Verification:
All constraints satisfied with T in March

Key Strategy: Use grid to visualize all slots, apply direct constraints first, then deduce positions using gap constraints.

Question 12

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 Q and P - R attends in the same month as T In which month does Q 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 Q and P
(If Q at position 1, P at position 4)
- R and T 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 Q at Jan 5, P at Mar 15
- R and T together: May 5 & May 15

4. Verification:
All constraints satisfied with Q in March

Key Strategy: Use grid to visualize all slots, apply direct constraints first, then deduce positions using gap constraints.

Question 13

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 - R attends on the 15th - Exactly two people attend between S and P - W attends in the same month as Q In which month does S 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)
- R on 15th (any month, date 15)
- Two people between S and P
(If S at position 1, P at position 4)
- W and Q in same month

3. Systematic placement:
- Place V at Mar 5 (satisfies March constraint)
- Place R at Mar 15 (satisfies 15th constraint)
- For 'two between' constraint: If S at Jan 5, P at Mar 15
- W and Q together: May 5 & May 15

4. Verification:
All constraints satisfied with S in March

Key Strategy: Use grid to visualize all slots, apply direct constraints first, then deduce positions using gap constraints.

Question 14

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: - P attends in March - T attends on the 15th - Exactly two people attend between V and W - Q attends in the same month as U In which month does V 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:
- P in March (Mar 5 or Mar 15)
- T on 15th (any month, date 15)
- Two people between V and W
(If V at position 1, W at position 4)
- Q and U in same month

3. Systematic placement:
- Place P at Mar 5 (satisfies March constraint)
- Place T at Mar 15 (satisfies 15th constraint)
- For 'two between' constraint: If V at Jan 5, W at Mar 15
- Q and U together: May 5 & May 15

4. Verification:
All constraints satisfied with V in March

Key Strategy: Use grid to visualize all slots, apply direct constraints first, then deduce positions using gap constraints.

Question 15

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: - U attends in March - W attends on the 15th - Exactly two people attend between Q and V - T attends in the same month as P In which month does Q 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:
- U in March (Mar 5 or Mar 15)
- W on 15th (any month, date 15)
- Two people between Q and V
(If Q at position 1, V at position 4)
- T and P in same month

3. Systematic placement:
- Place U at Mar 5 (satisfies March constraint)
- Place W at Mar 15 (satisfies 15th constraint)
- For 'two between' constraint: If Q at Jan 5, V at Mar 15
- T and P together: May 5 & May 15

4. Verification:
All constraints satisfied with Q in March

Key Strategy: Use grid to visualize all slots, apply direct constraints first, then deduce positions using gap constraints.

Question 16

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: - P attends in March - V attends on the 15th - Exactly two people attend between R and U - Q attends in the same month as W In which month does R 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:
- P in March (Mar 5 or Mar 15)
- V on 15th (any month, date 15)
- Two people between R and U
(If R at position 1, U at position 4)
- Q and W in same month

3. Systematic placement:
- Place P at Mar 5 (satisfies March constraint)
- Place V at Mar 15 (satisfies 15th constraint)
- For 'two between' constraint: If R at Jan 5, U at Mar 15
- Q and W together: May 5 & May 15

4. Verification:
All constraints satisfied with R in March

Key Strategy: Use grid to visualize all slots, apply direct constraints first, then deduce positions using gap constraints.

Question 17

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: - T attends in March - P attends on the 15th - Exactly two people attend between W and U - V attends in the same month as R In which month does W 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:
- T in March (Mar 5 or Mar 15)
- P on 15th (any month, date 15)
- Two people between W and U
(If W at position 1, U at position 4)
- V and R in same month

3. Systematic placement:
- Place T at Mar 5 (satisfies March constraint)
- Place P at Mar 15 (satisfies 15th constraint)
- For 'two between' constraint: If W at Jan 5, U at Mar 15
- V and R together: May 5 & May 15

4. Verification:
All constraints satisfied with W in March

Key Strategy: Use grid to visualize all slots, apply direct constraints first, then deduce positions using gap constraints.

Question 18

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: - T attends in March - R attends on the 15th - Exactly two people attend between V and S - U attends in the same month as P In which month does V 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:
- T in March (Mar 5 or Mar 15)
- R on 15th (any month, date 15)
- Two people between V and S
(If V at position 1, S at position 4)
- U and P in same month

3. Systematic placement:
- Place T at Mar 5 (satisfies March constraint)
- Place R at Mar 15 (satisfies 15th constraint)
- For 'two between' constraint: If V at Jan 5, S at Mar 15
- U and P together: May 5 & May 15

4. Verification:
All constraints satisfied with V in March

Key Strategy: Use grid to visualize all slots, apply direct constraints first, then deduce positions using gap constraints.

Question 19

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 - P attends on the 15th - Exactly two people attend between R and T - Q attends in the same month as S In which month does R 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)
- P on 15th (any month, date 15)
- Two people between R and T
(If R at position 1, T at position 4)
- Q and S in same month

3. Systematic placement:
- Place V at Mar 5 (satisfies March constraint)
- Place P at Mar 15 (satisfies 15th constraint)
- For 'two between' constraint: If R at Jan 5, T at Mar 15
- Q and S together: May 5 & May 15

4. Verification:
All constraints satisfied with R in March

Key Strategy: Use grid to visualize all slots, apply direct constraints first, then deduce positions using gap constraints.

Question 20

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: - W attends in March - S attends on the 15th - Exactly two people attend between U and V - P attends in the same month as Q 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:
- W in March (Mar 5 or Mar 15)
- S on 15th (any month, date 15)
- Two people between U and V
(If U at position 1, V at position 4)
- P and Q in same month

3. Systematic placement:
- Place W at Mar 5 (satisfies March constraint)
- Place S at Mar 15 (satisfies 15th constraint)
- For 'two between' constraint: If U at Jan 5, V at Mar 15
- P and Q 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.

Master Month-Date Scheduling - Intermediate-Advanced Level Problems Month-Date Scheduling INTERMEDIATE ADVANCED

What you'll learn in this worksheet: