Using the circuit above as a guide, X is
Attached Figure / Diagram
A
6.0 Ω
B
1.5 Ω
C
12 Ω
D
3.0 Ω
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
The 2 Ω and X Ω resistors are in parallel, and their effective resistance is 1.2 Ω
\(\frac{1}{R_{eff}}\) = \(\frac{1}{R_1}\) + \(\frac{1}{\text{X}}\)
\(\frac{1}{1.2}\) = \(\frac{1}{2}\) + \(\frac{1}{\text{X}}\)
\(\frac{1}{\text{X}}\) = \(\frac{5}{6}\) - \(\frac{1}{2}\) = \(\frac{5 - 3}{6}\)
\(\frac{1}{\text{X}}\) = \(\frac{2}{6}\) = \(\frac{1}{3}\)
Cross multiply
X = 3 Ω
Source: WAEC / JAMB / NECO Classroom Archive (Record #78300)