In a Calendar format a, b, c are non negative integers such that…
2026
In a Calendar format a, b, c are non negative integers such that 28a+30b+31c=365. Then a+b+c is?
- A.
11
- B.
12
- C.
14
- D.
17
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Correct answer: B
Normally, if we take a look at the calendar, we have 12 months and sum up all the days we get 365, ( except for the leap year )
28a + 30b + 31c = 365
In the calendar, we have months with 28 days, 30 days , 31 days, a, b, c represent the number of months consisting the date
So, in a normal year, we have one month which has 28 days
So, a = 1
We have 4 months having 30 days ( April , June , September , November )
So, b = 4
We have 7 months which have 31 days ( January, March, May, July, August, October and December )
So, c = 7
a , b , c are non-negative
a + b + c = ?
1 + 4 + 7 = ?
a + b + c = 12