Question

Which two months in a year have always the same calendar?

• A. June, October
• B. April, November
• C. April, July
• D. October, December

Answer 1

The correct option is C April, July

Two months will have the same calender if the period between them is divisible by $7.$

Now,
(a) June $+$ July $+$ Aug. $+$ Sep. $=30+31+31+30=122$ (not divisible by $7$)
(b) Apr. $+$ May $+$ June $+$ July $+$ Aug. $+$ Sep. $+$ Oct. $=30+31+30+31+31+30+31=214$ (not divisible by $7$)
(c) Apr. $+$ May $+$ June $=30+31+30=91$ (divisible by $7$)
(d) October $+$ November $=31+30=61$ (not divisible by $7$)