Five sisters have birthdays in different months from each other (February, March, June, July and December), and on different days of the week from each other (Sunday, Monday, Wednesday, Friday and Saturday). Using the clues below, determine the month and day of the week for each sister's birthday.

a.Paula was born in March but not on Saturday.
b.Abigail's birthday was not on Friday or Wednesday.
c.The girl whose birthday is on Monday was born earlier in the year than Brenda and Mary.
d.Tara wasn't born in February and her birthday was on the weekend.
e.Mary was not born in December and her birthday was not on a weekday.
f.The girl whose birthday was in June was born on Sunday.
g.Tara was born earlier in the year than Brenda, whose birthday wasn't on Friday.
h.Mary wasn't born in July.

1 answer

Based on the clues given, we can deduce the following:

1. Paula was born in March but not on Saturday.
Therefore, Paula's birthday is on a day other than Saturday in March.

2. Abigail's birthday was not on Friday or Wednesday.
This means Abigail's birthday is on Sunday, Monday, or Saturday in June, July, or December.

3. The girl whose birthday is on Monday was born earlier in the year than Brenda and Mary.
This implies that Tara's birthday is on Monday and is in a month earlier than June, July, or December.

4. Tara wasn't born in February and her birthday was on the weekend.
This narrows Tara's birthday to either Saturday or Sunday in April or May.

5. Mary was not born in December and her birthday was not on a weekday.
This leaves Mary's birthday on either Sunday or Saturday in June or July.

6. The girl whose birthday was in June was born on Sunday.
Since the girl in June was born on Sunday and Abigail's birthday is on a Sunday, Abigail's birthday must be in June.

7. Tara was born earlier in the year than Brenda, whose birthday wasn't on Friday.
This means Tara's birthday must be earlier than Brenda's and Brenda's birthday is not on Friday. Therefore, Brenda's birthday is on either Sunday or Monday in either June or July.

8. Mary wasn't born in July.
Since Brenda's birthday is in June or July and Mary's birthday is not in July, Mary's birthday must be in June.

Putting all the clues together, we can determine the month and day of the week for each sister's birthday:

Paula - March (not Saturday)
Abigail - June (Sunday)
Tara - April (Saturday)
Brenda - July (Monday)
Mary - June (Saturday)