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The average of three integers is 13. When a natural number n is included, the average of these four integers remains an odd integer. The minimum possible value of n is
- a)3
- b)1
- c)4
- d)5
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
The average of three integers is 13. When a natural number n is includ...
Solution:
Let the three integers be a,b and c.
Given, (a+b+c)/3=13
=> a+b+c=39
Let the fourth integer be n.
After including n, the average becomes odd.
So, (a+b+c+n)/4 is odd.
=> a+b+c+n is multiple of 4 and odd
=> a+b+c is odd and n is odd
Minimum value of n:
For a,b,c to be odd, at least one of them must be odd.
Let a=13, b=13 and c=13 (to get the minimum value of n)
a+b+c=39
=> n=1
So, the minimum possible value of n is 1, which is given in option D.
Let the three integers be a,b and c.
Given, (a+b+c)/3=13
=> a+b+c=39
Let the fourth integer be n.
After including n, the average becomes odd.
So, (a+b+c+n)/4 is odd.
=> a+b+c+n is multiple of 4 and odd
=> a+b+c is odd and n is odd
Minimum value of n:
For a,b,c to be odd, at least one of them must be odd.
Let a=13, b=13 and c=13 (to get the minimum value of n)
a+b+c=39
=> n=1
So, the minimum possible value of n is 1, which is given in option D.
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Community Answer
The average of three integers is 13. When a natural number n is includ...
It is given that average of three numbers is 13.
Sum = 3*13 = 39
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The average of three integers is 13. When a natural number n is included, the average of these four integers remains an odd integer. The minimum possible value of n isa)3b)1c)4d)5Correct answer is option 'D'. Can you explain this answer?
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