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An automobile plant contracted to buy shock absorbers from two suppliers $X$ and $Y.$ $X$ supplies $60\%$ and $Y$ supplies $40\%$ of the shock absorbers. All shock absorbers are subjected to a quality test. The ones that pass the quality test are considered reliable. Of $X'$s shock absorbers, $96\%$ are reliable. Of $Y'$s shock absorbers, $72\%$ are reliable. The probability that a randomly chosen shock absorber, which is found to be reliable, is made by $Y$ is

  1. $0.288$ 
  2. $0.334$ 
  3. $0.667$ 
  4. $0.720$
in Quantitative Aptitude recategorized by
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1 35 65

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