on which of the following dates of October,1994 did monday fall
Answers
Answer:
3rd October, 1994
Monday fell on 3rd October, 1994. During October 1994, Monday fell on 3rd, 17th and 24 th.
on which of the following dates of October,1994 did monday fall .
(A) 4, 11, 18, 25
(B) 2, 9, 16, 23
(C) 1, 8, 15, 22
(D) 3, 10, 17, 24, 31
On 3, 10, 17, 24 and 31 of October 1994 was Monday .
Given :
October 1994
To find out :
On which dates did Monday fall ?
Solution :
1600 years have zero off days.
300 years contain one odd day.
93 years have 23 leap years and 70 non leap years .
total number of odd days in 93 years : (23 × 2 + 7 × 1 ) = 116 odd days⇒4 odd days.
From 1st January to 1 October number of odd days in 1994 .
Month : J + F + M + A + J + J + A + S + O
Odd days = 3 + 0 + 3 + 2 +3 +2 +3 +3 +2 +1 = 22 odd days ⇒1 odd day.
The total number of odd days = 1 +4 +1 =6 odd days.
1st October 1994 is Saturday so first Monday will fall on 3rd October .
hence 3, 10, 17, 24 and 31 October was Monday.
option ( D) is correct option.
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