Question

If in a particular leap year June month has 5
Mondays which is 1st day of that month
possibility, then that year started with
which
one of the following days?​

Answer 1

Given :- If in a particular leap year June month has 5 Mondays which is 1st day of that month possibility, then that year started with which days ?

Solution :-

given that, June month has 5 Monday.

As, we know that, June has total 30 days.

So,

• 1 june = Monday.
• 8 June = Monday.
• 15 June = Monday.
• 22 June = Monday .
• 29 June = Monday .

Or,

• 2 June = Monday.
• 9 June = Monday.
• 16 June = Monday.
• 23 June = Monday .
• 30 June = Monday .

Case 1) :- When 1 June = Monday.

it is also given that, it is a leap year.

So,

→ 1 June = Monday.

→ 1 January = ?

Odd days = 31(May) + 30(April) + 31(March) + 29(Feb.) + 31(Jan.) = 3 + 2 + 3 + 1 + 3 = 12 odd days = 5 odd days.

Therefore,

→ 1 January = Monday - 5 = wednesday (Ans.)

Case 2) :- when 2 june = Monday.

So,

→ 2 June = Monday.

→ 1 January = ?

Odd days = 1(June) + 31(May) + 30(April) + 31(March) + 29(Feb.) + 31(Jan.) = 1 + 3 + 2 + 3 + 1 + 3 = 13 odd days = 6 odd days.

Therefore,

→ 1 January = Monday - 6 = Tuesday (Ans.)

Hence, that year started with Tuesday or Wednesday.

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