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CDS Model Paper 1 Mathematics

DIRECTIONS (Qs. 80-82): Read the following information carefully to answer the questions that follow.

The arithmetic mean, geometric mean and median of 6 positive numbers

a, a, b, b, c, c

, where

a < b < c

are

\frac{7}{3}, 2,2

, respectively.

Question : 80 of 100

Marks: +1, -0

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

Solution:

Required sum

=2(a)^{2}+2(b)^{2}+2(c)^{2}

=2(1)^{2}+2(2)^{2}+2(4)^{2}

=2+8+32=42

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