Latest TCS Aptitude Question SOLUTION: a, b, c are non negative integers such that 28a+30b+31c=365. Then a+b+c is? a)13 b)> 13 c)

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(#M40011519) TCS Numerical Ability question Keep an EYE

a, b, c are non negative integers such that 28a+30b+31c=365. Then a+b+c is?
a)13 b)> 13 c)

Asked In TCS Sonali (11 years ago)

Solved akshay sharma Read Solution (11)

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Read Solution (11) :

akshay sharma  (11 years ago) Best Solution

ans is always 12.
here a=1 i.e february.
b=4 (april,june,sept,nov)
c=7 (jan,march,may,july,aug,oct,dec)

Is this solution Helpfull? Yes (128) | No (2)  

Rakesh Kumar  (11 years ago)

12 is the Answer.

Is this solution Helpfull? Yes (12) | No (3)  

bakya  (8 years ago)

Here, a + b + c = 12
Explanation :
a = 1, because in a month of twelve only Feb has 28 days
b = 4, there are four months namely April,June,Sep and Nov having 30 days
c = 7, there are 7 months namely Jan,Mar,May,Jul,Aug,Oct and Dec having 31 days
So, a + b + c = 1 + 4 + 7 = 12.

Is this solution Helpfull? Yes (8) | No (1)  

code works  (6 years ago)

This is how I solved it;;
28a+30b+31c=365
28a+(28+2)b+(28+3)c=365
28(a+b+c)+(2b+3c)=365
if suppose 2b+3c is zero (suppose)
then 365/28 is 13.something
then 13*28=364

365-364=1

we cannot get 1 with 2a+3b

so lets try 12
12*28=336

365-336=29

we can get 29 with 2a+3b in this form
2*4+3*7

so b=4 c=7 and we assumed a+b+c=12 so a = 1

put these values in the equation and it satisfies

so the value of a+b+c=12

:)

Is this solution Helpfull? Yes (2) | No (1)  

Chinmay jain  (8 years ago)

please explain question

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balaji  (8 years ago)

a=1,b=7,c=4 according to monthly days

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Abhishek nkumar  (8 years ago)

yes bro..12 is the correct answer..

Is this solution Helpfull? Yes | No (3)  

vikas  (7 years ago)

put a=0 , b=7, c=5. it makes 0+210+155=365. so correct answer is 12

Is this solution Helpfull? Yes | No (1)  

vikash kumar  (7 years ago)

simplify the given equation as 30(a+b+c)+2a+c=365
and then check for (a+b+c)=14,13,12,11
and finally you got a valid case for 12.
so,answer is 12

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Vijay  (7 years ago)

1+4+7 as 12 months in year make 365 days

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MERUN KUMAR  (5 years ago)

In a calender,
Number of months having 28 days = 1
Number of months having 30 days = 4
Number of months having 31 days = 7
28 x 1 + 30 x 4 + 31 x 7 = 365
Here, a = 1, b = 4, c = 7.

a+b+c = 12

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