Gate Exam

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
option
(A) 0.288
(B) 0.334
(C) 0.667
(D) 0.720

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Gate Other Question
A political party orders an arch for the entrance to the ground in which the annual convention is being held. The profile of the arch follows the equation y = 2x - 0.1x^2 where y is the height of the arch in meters. The maximum possible height of the arch is
option
(A) 8 meters
(B) 10 meters
(C) 12 meters
(D) 14 meters Which of the following assertions are CORRECT?

P: Adding 7 to each entry in a list adds 7 to the mean of the list
Q: Adding 7 to each entry in a list adds 7 to the standard deviation of the list
R: Doubling each entry in a list doubles the mean of the list
S: Doubling each entry in a list leaves the standard deviation of the list unchanged
option
(A) P, Q
(B) Q, R
(C) P, R
(D) R, S