Q.

A technician has only two resistance coils. By using them singly, in series or in parallel, he is able to obtain the resistance of 3, 4, 12 and 16 Ω. What are the resistances of the two coils?

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a

6 Ω and 10 Ω

b

4 Ω and 12 Ω

c

7 Ω and 9 Ω

d

4 Ω and 16 Ω

answer is B.

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Detailed Solution

R will be maximum when the resistances are in series and minimum when the resistances are in parallel. So excluding the maximum and minimum values, we get the resistances of the two coils.
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A technician has only two resistance coils. By using them singly, in series or in parallel, he is able to obtain the resistance of 3, 4, 12 and 16 Ω. What are the resistances of the two coils?