ME GATE 2012 - Online Test
Q1. 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
Answer : Option C
Explaination / Solution:
When each entry is increased or decreased by same value k, the mean will also increase or
decrease by k but the standard deviation will remain same. But when each entry is multiplied or
divided by same value k, the mean as well as the standard deviation will get multiplied by k.
Q2. 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 – 0.1x2 where y is the height of
the arch in meters. The maximum possible height of the arch is
Answer : Option B
Explaination / Solution:
No Explaination.
Q3. Given the sequence of terms, AD CG FK JP, the next term is
Answer : Option A
Explaination / Solution:
The first letter increases by 2, 3 and 4 letters and the second letter increases by 3, 4 and 5 letters.
Hence J will increase by 5 letters and P will increase by 6 letters. So the answer will be OV.
Q4. 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.
The probability that a randomly chosen shock absorber, which is found to be reliable, is made by
Y is
Answer : Option B
Explaination / Solution:
Let total number of shock absorbers be a. Since 60% shock absorbers are supplied by X and 96%
of them are reliable. Number of reliable shock absorbers supplied by X = 96% of 60% of a =
0.576a
Similarly, number of reliable shock absorbers supplied by Y = 72% of 40% of a = 0.288a
Total number of reliable shock absorbers = 0.576a + 0.288a = 0.864a
Probability that a reliable shock absorber is made by Y = (0.288a / 0.864a)
= 0.334
Q5. 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?
Answer : Option D
Explaination / Solution:
Part time job with post attractive because transportation paid and expenses reimbursed. So, there
is no gender-discriminatory in this part time job.
Q6. Consider the function f(x) = |x| in the interval -1 ≤ x ≤ 1. At the point x = 0,f(x) is
Answer : Option C
Explaination / Solution:
f(x) = |x| –1 ≤ x ≤ 1
at x = 0
∴ It is continuous.
∴It is not differentiable.
Q7. 
Answer : Option B
Explaination / Solution:
Q8. The area enclosed between the straight line y = x and the parabola y = x2 in the x-y plane is
Answer : Option A
Explaination / Solution:
Q9. For the spherical surface x2 + y2 + z2 = 1, the unit outward normal vector at the point (1/√2, 1/√2, 0)is given by
Answer : Option A
Explaination / Solution:
To find the direction of normal, take the gradient i.e.
8 unit vector will become
Q10. At x = 0, the function f(x) = x3 + 1 has
Answer : Option D
Explaination / Solution:
So, x = 0 is point of inflexion
