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28 Jul 2025, 19:40
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2x2 table/matrix is often a very quick way to solve these questions. Just needs some getting used to.
Harsha
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Harsha
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31 Jul 2025, 04:15
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One-fifth of the light switches produced by a certain factory are defective. Four-fifths of the defective switches are rejected and 1/20 of the non defective switches are rejected by mistake. If all the switches not rejected are sold, what percent of the switches sold by the factory are defective?
(A) 4%
(B) 5%
(C) 6.25%
(D) 11%
(E) 16%
(A) 4%
(B) 5%
(C) 6.25%
(D) 11%
(E) 16%
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BadukMagician
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31 Jul 2025, 18:03
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Fun one, as with these types of questions lets assume there's 100 switches
1/5 are defective so that leaves us with
80 switches to sell,
we know that out of this 80, 1/20 get accidentally rejected, so that would be 4, leaving us with 76 switches to sell. But wait, there's more
of the 20 switches that are defective only 4/5's are caught so would you look at that there are 4 switches that are defective that pass QC.
76 Non defective + 4 defective = 80 switches sold of the 80, 4 are defective equaling to 5% Answer Choice B
1/5 are defective so that leaves us with
80 switches to sell,
we know that out of this 80, 1/20 get accidentally rejected, so that would be 4, leaving us with 76 switches to sell. But wait, there's more
of the 20 switches that are defective only 4/5's are caught so would you look at that there are 4 switches that are defective that pass QC.
76 Non defective + 4 defective = 80 switches sold of the 80, 4 are defective equaling to 5% Answer Choice B
