A long time ago, Julius and …

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A long time ago, Julius and Augustus were trying to renew the calendar system. They got into an argument. They couldn't agree on how many days should be there in a month. According to Augustus, a number should be possible to be constructed from any date of the year by adding the number of the month to the number of the day. with that logic, December 21st would become the number 33, since December is the twelfth month, and 21 + 12 = 33. March 23 would become 26, and so on. Hearing this, Julius was a puzzle. He wondered how many different numbers can be made using dates of a regular calendar. What would be the number?

Posted by Abhinav Kumar 4 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 4 years, 5 months ago

Given : number should be possible to be constructed from any date of the year by adding the number of the month to the number of the day. with that logic, December 21st would become the number 33, since December is the twelfth month, and 21 + 12 = 33. March 23 would become 26, and so on.

To Find :how many different numbers can be made using dates of a regular calendar.
a. 28
b. 34
c. 42
d. 18

Solution:
January has 1 to 31 days and month 1 Hence
from 2 to 32
December has 1 to 31 days month 12 Hence
from from 12 to 43
Hence all possible numbers are from
2 to 43
Which counts to be 42
Hence 42 is correct answer
42 different numbers can be made using dates of a regular calendar.

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