2012(Gate ) Questions and Answers
Explanation:-
Answer: Option B. -> 10 metersy = 2x - 0.1`x^2`
`(dy)/(dx)` = 2 - 0.2x
`(d^2y)/(dx^2)` < 0 `:.` maximises at 2 - 0.2x = 0
`Rightarrow` x = 10
`:.` y = 20 - 10 = 10m
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
Explanation:-
Answer: Option B. -> 0.334x y
Supply 60% 40%
Reliable 96% 72%
Overall 0.576 0.288
`:.` P(x) = `(0.288)/(0.576 + 0.288)` = 0.334
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
Explanation:-
Answer: Option C. -> P, RP and R always hold true
Else consider a sample set {1, 2, 3, 4} and check accordingly
Wanted Temporary, Part-time persons for the post of Field Interviewer to conduct personal
interviews to collect and collate economic data. Requirements: High School-pass, must be
available for Day, Evening and Saturday work. Transportation paid, expenses reimbursed.
Which one of the following is the best inference from the above advertisement?
Explanation:-
Answer: Option C. -> Not designed to make the post attractiveGender is not mentioned in the advertisement and (B) clearly eliminated
Explanation:-
Answer: Option A. -> 5P = 50q - `5q^2`
`(dp)/(dq)` = 50 - 10q; `(d^2p)/(dq^2)` < 0
`:.` p is maximum at 50 - 10q = 0 or, q = 5
Else check with options