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Mathematics

Observe the values of a, b, c given in the table. If we choose numbers a, b and c from rows a, b and c respectively, what is the maximum possible value of cba\dfrac{c - b}{a}?

a246810
b357911
c510152025

Rational Irrational Nos

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Answer

We get the maximum possible value of cba\dfrac{c - b}{a}, if c is the largest and a, b are the smallest values.

cba253222211.\Rightarrow \dfrac{c - b}{a} \\[1em] \Rightarrow \dfrac{25 - 3}{2} \\[1em] \Rightarrow \dfrac{22}{2} \\[1em] \Rightarrow 11.

Hence, the maximum possible value of cba\dfrac{c - b}{a} = 11.

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