PARALLEL CIRCUIT
(150 ohms upper side of the circuit, 250 ohms in the left side and 50 ohms below side of the circuit)
Since, 150Ω150 \Omega150Ω, 250Ω250 \Omega250Ω, and 50Ω50 \Omega50Ω are in parallel.
Equivalent of the resistances in parallel is given by,
1R=1R1+1R2+1R3\frac{1}{R} = \frac{1}{R_1} + \frac{1}{R_2}+\frac{1}{R_3}R1=R11+R21+R31
Putting values,
1R=1150+1250+150=5+3+15750=23750\frac{1}{R} = \frac{1}{150} + \frac{1}{250}+\frac{1}{50} = \frac{5+3+15}{750}= \frac{23}{750}R1=1501+2501+501=7505+3+15=75023
R=75023=32.61ΩR = \frac{750}{23} = 32.61 \OmegaR=23750=32.61Ω