What is the sum of the squares of all the six numbers? Since a Medi

| What is the sum of the squares of all the six numbers?

A. 40

B. 42

C. 45

D. 48

Right Answer is: B

SOLUTION

Since a<b<c
Median =[(6/2)th term+(6/2+1)th term]/2= (3rd term+4th term)/2
2=(b+b)/2 b=2
Arithmetic mean=(a+a+b+b+c+c)/6
7/3=(a+b+c)/3
a+c=7-2=5
geometric mean=(a2×b2×c2)1/6
2=(abc)1/3
abc=8
ac=4
Solving the above equations we get a=1, c=4 and b=2
Required sum=2(1)2+2(2)2+2(4)2=42

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