CE GATE 2011 - Online Test
Q1. A transporter receives the same number of orders each day. Currently, he has
some pending orders (backlog) to be shipped. If he uses 7 trucks, then at the end
of the 4th day he can clear all the orders. Alternatively, if he uses only 3 trucks,
then all the orders are cleared at the end of the 10th day. What is the minimum
number of trucks required so that there will be no pending order at the end of
the 5th day?
Answer : Option C
Explaination / Solution:
No Explaination.
Q2. The variable cost (V ) of manufacturing a product varies according to the equation
V = 4q, where q is the quantity produced. The fixed cost (F) of production of
same product reduces with q according to the equation F = 100/q. How many
units should be produced to minimize the total cost (V + F)?
Answer : Option A
Explaination / Solution:
No Explaination.
Q3. A vehicle negotiates a transition curve with uniform speed v . If the radius of the
horizontal curve and the allowable jerk are R and J , respectively, the minimum
length of the transition curve is
Answer : Option D
Explaination / Solution:
No Explaination.
Q4.
[A] is a square matrix which is neither symmetric nor skew-symmetric and [A]T is its transpose. The sum and difference of these matrices are defined as [S]=[A]+ [A]T and [D]=[A]+ [A]T , respectively. Which of the following statements is TRUE?
Answer : Option D
Explaination / Solution:
No Explaination.
Q5. The square root of a number N is to be obtained by applying the Newton Raphson iterations to the equation x2- N = 0. If i denotes the iteration index, the correct iterative scheme will be
Answer : Option A
Explaination / Solution:
No Explaination.
Q6. There are two containers, with one containing 4 Red and 3 Green balls and the other containing 3 Blue and 4 Green balls. One ball is drawn at random from each container. The probability that one of the balls is Red and the other is Blue
will be
Answer : Option C
Explaination / Solution:
No Explaination.
Q7. What should be the value of 
such that the function defined below is continuous at x=
?
such that the function defined below is continuous at x=?
Answer : Option C
Explaination / Solution:
No Explaination.
Q8. What is the value of the definite integral 
Answer : Option B
Explaination / Solution:
No Explaination.
Q9. If 
and 
are two arbitrary vectors with magnitudes a and b, respectively, 
will be equal to
and are two arbitrary vectors with magnitudes a and b, respectively, will be equal to
Answer : Option A
Explaination / Solution:
No Explaination.
Q10. The solution of the differential equation 
with the condition that y = 1 at x = 1, is
with the condition that y = 1 at x = 1, is
Answer : Option D
Explaination / Solution:
No Explaination.
