Q102 / 270 · NDA 2016 (Phase 1) · General Ability

Consider the following circuit: Figure
The equivalent resistance of the circuit will be

  • A
    $12 \Omega$
  • B
    $8 \frac{11}{12} \Omega$
  • Correct answer
    C
    $9 \frac{1}{11} \Omega$
  • D
    $\frac{24}{25} \Omega$

Solution

$\begin{aligned} & 1 / \mathrm{R}=1 / \mathrm{R}_1+1 / \mathrm{R}_2+1 / \mathrm{R}_3 \\ & =1 / 2+1 / 4+1 / 6 \\ & =11 / 12 \\ & \mathrm{R}=12 / 11 \end{aligned}$ Total resistance $=12 / 11+8=9~~1 / 11 \mathrm{~ohm}$.

Hence, the correct answer is option: 'C'.

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