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Question

Sum of 6 consecutive integers is 3. Find the sum of squares of those 6 integers.

A
19
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B
12
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C
18
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D
20
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Solution

The correct option is A 19
Given: Sum =3
Let the integers be a,a+1,a+2,a+3,a+4,a+5=a+a+1+a+2+a+3+a+4+a+5=3=6a+15=36a=12a=2
Thus, the numbers are 2,1,0,1,2,3.
Sum of squares =4+1+0+1+4+9=19

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