1600 years contains 0 odd day; 300 years conains 1 odd day. Also, 83 years contains 20 leap years and 63 ordinary years and therefore, (40 + 0) odd days i.e., 5 odd days.
? 1983 years contain (0 + 1 + 5) i.e., 6 odd days
Number of days from Jan. 1984 to 31st Oct 1984 = (31 + 29 + 31 + 30 + 31 + 30 + 31 + 31 + 30 + 31) = 305 days = 4 odd days
? Total number of odd days = 6 + 4 = 3 odd days
So, 31st Oct 1984 was wednesday
Let there be x one rupee coin, y 50 paise coin, z 25 paise coinx + y + z = 220......(i)
Total amount = 160
Now, x + (y/2) + z = 160 ......(ii)
?4x + 2y + z = 640
Thrice as many 1 re coin as 25 paise
?x = 3z ......(iii)
On solving equation (i), (ii) and (iii), we get
z = 40x= 3* 40 = 120y = 220 ?(120 + 40 ) = 60
So, 50 paise coin =60
69 ?65 = 4
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