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GATE Exam
CE Civil Engineering
Engineering Mathematics
TEST : 2
# GATE Exam
# CE Civil Engineering
# Engineering Mathematics
# EE GATE 2012
Prepare / Learn
Q1.
Consider the differential equation
The numerical value of
is
A.
–2
B.
–1
C.
0
D.
1
View Solution
Add Work Space
Answer :
Option D
Explaination / Solution:
# GATE Exam
# CE Civil Engineering
# Engineering Mathematics
# EE GATE 2012
Prepare / Learn
Q2.
A fair coin is tossed till a head appears for the first time. The probability that the number of required tosses is odd, is
A.
1/3
B.
1/2
C.
2/3
D.
3/4
View Solution
Add Work Space
Answer :
Option C
Explaination / Solution:
# GATE Exam
# CE Civil Engineering
# Engineering Mathematics
# EE GATE 2013
Prepare / Learn
Q3.
The equation
has
A.
no solution
B.
C.
non-zero unique solution
D.
multiple solutions
View Solution
Add Work Space
Answer :
Option D
Explaination / Solution:
No Explaination.
# GATE Exam
# CE Civil Engineering
# Engineering Mathematics
# EE GATE 2013
Prepare / Learn
Q4.
Square roots of − i, where i = √-1, are
A.
i, − i
B.
C.
D.
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
No Explaination.
# GATE Exam
# CE Civil Engineering
# Engineering Mathematics
# EE GATE 2013
Prepare / Learn
Q5.
A function
y = 5x
2
+ 10x
is defined over an open interval x = (1,2). Atleast at one point in this interval, dy/dx is exactly
A.
20
B.
25
C.
30
D.
35
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
No Explaination.
# GATE Exam
# CE Civil Engineering
# Engineering Mathematics
# EE GATE 2013
Prepare / Learn
Q6.
evaluated anticlockwise around the circle |z - i| = 2, where i =
√-1
, is
A.
4π
B.
0
C.
2 + π
D.
2+2i
View Solution
Add Work Space
Answer :
Option A
Explaination / Solution:
No Explaination.
# GATE Exam
# CE Civil Engineering
# Engineering Mathematics
# EE GATE 2013
Prepare / Learn
Q7.
A matrix has eigenvalues –1 and –2. The corresponding eigenvectors are
respectively. The matrix is
A.
B.
C.
D.
View Solution
Add Work Space
Answer :
Option D
Explaination / Solution:
No Explaination.
# GATE Exam
# CE Civil Engineering
# Engineering Mathematics
# EE GATE 2014 Paper 02
Prepare / Learn
Q8.
Which one of the following statements is true for all real symmetric matrices?
A.
All the eigenvalues are real.
B.
All the eigenvalues are positive
C.
All the eigenvalues are distinct
D.
Sum of all the eigenvalues is zero.
View Solution
Add Work Space
Answer :
Option A
Explaination / Solution:
Eigen values of a real symmetric matrix are all real
# GATE Exam
# CE Civil Engineering
# Engineering Mathematics
# EE GATE 2014 Paper 02
Prepare / Learn
Q9.
Maximum of the real valued function
f(x) = (x – 1)
2/3
occurs at x equal to
A.
-∞
B.
0
C.
1
D.
∞
View Solution
Add Work Space
Answer :
Option C
Explaination / Solution:
# GATE Exam
# CE Civil Engineering
# Engineering Mathematics
# EE GATE 2014 Paper 02
Prepare / Learn
Q10.
All the values of the multi-valued complex function 1
i
, where
A.
purely imaginary
B.
real and non-negative
C.
on the unit circle.
D.
equal in real and imaginary parts
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
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