Use modular arithmetic to determine the following a On a 12h

Use modular arithmetic to determine the following.

(a) On a 12-hour clock, what time will a clock show in 1883 hours if the current time is 8:00.

(b) What day of the week is it 1129 days after a Wednesday?

(c) What month is it 1889 months after October?

Solution

a)On a 12-hour clock, what time will a clock show in 1883 hours if the current time is 8:00.

1883 mod 12 = 11

so if current time is 8:00 then 11 hours plus 8 is 7:00

b)

What day of the week is it 1129 days after a Wednesday?

1129 mod 7 =2

hene the day wil be 2days plus wednesday = friday

c)

What month is it 1889 months after October?

1889 mod 12 =1

hence the month is 1 month plus october ,

hence it is november