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Pratibhasingh

· started a discussion

· 1 Months ago

no detaileed solution (Question: 398336.0 )

i want detailed solution for this question

Question:

If a, b, c and d are integers such that a + b + c + d = 30, that the minimum possible value of  (a – b)2 + (a – c)2 + (a – d)2 is  –

Options:
A)

1

B)

2

C)

4

D)

0

Solution:

Ans: (b)


Knowledge Expert

· commented

· 1 Months ago

Dear Student
as it's not specified that the integers must be distinct we may take some integers as identical
If we assign a non integral identical value to each one as 7.5
so for satisfying the given equation of a+b+c+d=30
Thus taking integral values slightly close to that of non-integral identical value
7,7,8,8
Now Substituting these values in the given question
(a-b)^2+(a-c)^2+(a-d)^2=2
This is a tricky though beautiful question
Keep learning
Regards
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