Table:
0
A
B
C
D
E
1
June 10-11
March 27-29
January 15-16
November 3
August 21-22
2
June 10, 1964
March 28, 1968
January 16, 1972
November 3, 1975
August 22, 1979
3
127
129
131
133
135
4
June 11, 1983
March 29, 1987
January 15, 1991
November 3, 1994
August 22, 1998
5
137
139
141
143
145
6
June 10, 2002
March 29, 2006
January 15, 2010
November 3, 2013
August 21, 2017
7
147
149
151
153
155

Questions and formulas:
Question:  january 15-16 when august 21-22 is august 22, 1979?
Formula: UNIQUE(CHOOSECOLS(FILTER(A1:E1,E1="August 22, 1979"),3))
Formula2: UNIQUE(CHOOSECOLS(FILTER(A2:E7,E2:E7="August 22, 1979"),3))
Level: medium
Question: How many entries are shown for november 3 when january 15-16 is 141?
Formula: SUMIFS(D1,C1,"141")
Formula2: SUMIFS(D2:D7,C2:C7,"141")
Level: easy
Question:   march 27-29 where june 10-11 is 127?
Formula: UNIQUE(CHOOSECOLS(FILTER(A1:E1,A1=127),2))
Formula2: UNIQUE(CHOOSECOLS(FILTER(A2:E7,A2:A7=127),2))
Level: medium
Question:  june 10-11 when november 3 is 133?
Formula: UNIQUE(CHOOSECOLS(FILTER(A1:E1,D1=133),1))
Formula2: UNIQUE(CHOOSECOLS(FILTER(A2:E7,D2:D7=133),1))
Level: medium
Question:  june 10-11 when january 15-16 is january 15, 1991?
Formula: UNIQUE(CHOOSECOLS(FILTER(A1:E1,C1="January 15, 1991"),1))
Formula2: UNIQUE(CHOOSECOLS(FILTER(A2:E7,C2:C7="January 15, 1991"),1))
Level: medium
Question: What is shown for november 3 when august 21-22 is august 22, 1998?
Formula: UNIQUE(CHOOSECOLS(FILTER(A1:E1,E1="August 22, 1998"),4))
Formula2: UNIQUE(CHOOSECOLS(FILTER(A2:E7,E2:E7="August 22, 1998"),4))
Level: medium