MCQs
y = 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
x 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
P 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?
Gender is not mentioned in the advertisement and (B) clearly eliminated
P = 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