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AMO 2027 Grades 6-7 SET 19 - Self-study Question 3

AMO · AMO 2027 Grades 6-7 SET 19 - Self-study

Question 3

In a particular year, the birthdays of Alan, Benedict, Dennis and Edgar were Tuesday, Wednesday, Thursday and Friday (not in order). Their birthdays in that year were also special days: Labour Day, Teachers’ Day, Children’s Day and National Day (not in order). Furthermore, in that year:

i. Dennis’ birthday falls before Labour Day but later than Teachers’ Day.
ii. Benedict’s birthday does not fall on Teachers’ Day.
iii. Friday was either Alan’s birthday or Children’s Day (or both).
iv. Edgar’s birthday does not fall on Tuesday.
v. Dennis’ birthday does not fall on National day.

If they have different birthdays, determine each of their birthdays in that year.


A. Alan – Wednesday, Benedict – Tuesday, Dennis – Thursday, Edgar – Friday

B. Alan – Friday, Benedict – Wednesday, Dennis – Tuesday, Edgar - Thursday

C. Alan – Friday, Benedict – Tuesday, Dennis – Thursday, Edgar – Wednesday

D. Alan – Thursday, Benedict – Wednesday, Dennis – Tuesday, Edgar – Friday

E. None of the above

**Editorial note for this self-study exercise:** Use only the information supplied. No country, holiday dates or same-week assumption is provided. Explain whether a unique weekday assignment follows, and justify your conclusion; this response is marked manually. Do not import an unstated holiday calendar.