Toggle navigation
Test.Brainkart.com
Home
GATE Exam
TN School
College Entrance Exam
IIT JEE
NEET
AIIMS
CAT
CLAT
TANCET
10th & 12th
11th Std
12th Std
10th Std
Job Entrance Exam
BANK
UGC NET
TNPSC
Engineering Mathematics
- Online Test
GATE Exam
CE Civil Engineering
Engineering Mathematics
TEST : 3
# GATE Exam
# CE Civil Engineering
# Engineering Mathematics
# EE GATE 2014 Paper 02
Prepare / Learn
Q1.
Consider the differential equation
Which of the following is a solution to this differential equation for x > 0?
A.
e
x
B.
x
2
C.
1/x
D.
ln x
View Solution
Add Work Space
Answer :
Option C
Explaination / Solution:
# GATE Exam
# CE Civil Engineering
# Engineering Mathematics
# EE GATE 2014 Paper 02
Prepare / Learn
Q2.
The state transition matrix for the system
is
A.
B.
C.
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
Q3.
To evaluate the double integral
we make the substitution
The integral will reduce to
A.
B.
C.
D.
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
# GATE Exam
# CE Civil Engineering
# Engineering Mathematics
# EE GATE 2014 Paper 02
Prepare / Learn
Q4.
The minimum value of the function f(x) = x
3
- 3x
2
- 24x + 100 in the interval [-3. 3] is
A.
20
B.
28
C.
16
D.
32
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
# GATE Exam
# CE Civil Engineering
# Engineering Mathematics
# EE GATE 2015 Paper 02
Prepare / Learn
Q5.
Consider a function f(x) = 1 - |x| on -1 ≤ x ≤ 1. The value of x at which the function attains a maximum, and the maximum value of function are:
A.
0,-1
B.
-1,0
C.
0, 1
D.
-1, 2
View Solution
Add Work Space
Answer :
Option C
Explaination / Solution:
# GATE Exam
# CE Civil Engineering
# Engineering Mathematics
# EE GATE 2015 Paper 02
Prepare / Learn
Q6.
Given f (z) = g(z) + h(z), where f, g, h are complex valued functions of a complex variable z. Which one of the following statements is TRUE?
A.
If f(z) is differential at
z
0
, then g(z) and h(z) are also differentiable at
z
0
.
B.
If g(z) and h(z) are differentiable at
z
0
, then f(z) is also differentiable at
z
0
.
C.
If f(z) is continuous at
z
0
, then it is differentiable at
z
0
.
D.
If f(z) is differentiable at
z
0
, then so are its real and imaginary parts.
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
g(z) and h(z) are differentiable then f(z) = g(z) + h(z) is differentiable.
# GATE Exam
# CE Civil Engineering
# Engineering Mathematics
# EE GATE 2015 Paper 02
Prepare / Learn
Q7.
The Laplace transform of
The Laplace transform of
is
A.
B.
C.
D.
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
# GATE Exam
# CE Civil Engineering
# Engineering Mathematics
# EE GATE 2015 Paper 02
Prepare / Learn
Q8.
We have a set of 3 linear equations in 3 unknowns.
means X and Y are equivalent statements and
means X and Y are not equivalent statements.
P: There is a unique solution.
Q: The equations are linearly independent.
R: All eigenvalues of the coefficient matrix are nonzero.
S: The determinant of the coefficient matrix is nonzero.
Which one of the following is TRUE?
A.
B.
C.
D.
View Solution
Add Work Space
Answer :
Option A
Explaination / Solution:
No Explaination.
# GATE Exam
# CE Civil Engineering
# Engineering Mathematics
# EE GATE 2015 Paper 02
Prepare / Learn
Q9.
Two coins R and S are tossed. The 4 joint events
H
R
H
S
, T
R
T
S
,H
R
T
S
,T
R
H
S
have probabilities 0.28, 0.18, 0.30, 0.24, respectively, where H represents head and T represents tail. Which one of the following is TRUE?
A.
The coin tosses are independent
B.
R is fair, R it not.
C.
S is fair, R is not
D.
The coin tosses are dependent
View Solution
Add Work Space
Answer :
Option D
Explaination / Solution:
# GATE Exam
# CE Civil Engineering
# Engineering Mathematics
# EE GATE 2015 Paper 02
Prepare / Learn
Q10.
The z-Transform of a sequence x[n] is given as
X(z) = 2z+4-4/z+3z
2
. If y[n] is the first difference of x[n], then Y(z) is given by
A.
B.
C.
D.
View Solution
Add Work Space
Answer :
Option A
Explaination / Solution:
y(n) is first difference of x(n) So
g(n)=x(n)-x(n-1)
Submit My Answer
Total Question/Mark :
Scored Mark :
Mark for Correct Answer : 1 Mark for Wrong Answer : -0.5 Mark for Left Answer : 0
Save and Share My Score
REDO LAST TEST AGAIN : ( TEST 2 )
REDO THIS TEST AGAIN : ( TEST 3 )
START NEXT : ( TEST 4 )
Engineering Mathematics
| Online Objective Test |
Start Test
Engineering Mathematics
| Online Objective Test
Start Test
Prepare Before Start Test
| Learn
Engineering
| prepare/Learn
Medical
| prepare/Learn
TN School (10th & 12th )
| prepare/Learn
NEET, JEE
| prepare/Learn
TNPSC Exam
| prepare/Learn
UPSC Civil services Entrance exams
| Online Test
General Studies test
| Start Online Test
Civil Services Aptitude Test (CSAT)
| Start Online Test
Interview and Personality Test
| Start Online Test
GATE Exam
| Online Test
EE Electrical Engineering
| Start Online Test
EC Electronics and Communication Engineering
| Start Online Test
CS Computer Science and Information Technology
| Start Online Test
CE Civil Engineering
| Start Online Test
ME Mechanical Engineering
| Start Online Test
Under Graduate Entrance Exams
| Online Test
IIT JEE IEEE Entrance Exam
| Start Online Test
NEET Entrance Exam
| Start Online Test
AIIMS Entrance Exams
| Start Online Test
Problem Solving and Reasoning
| Online Test
Verbal and Reading Comprehension
| Start Online Test
Data Interpretation and Logical Reasoning
| Start Online Test
Mathematics or Quantitative Aptitude
| Start Online Test
CAT Entrance Exams
| Online Test
Mathematics or Quantitative Aptitude
| Start Online Test
Data Interpretation and Logical Reasoning
| Start Online Test
Verbal and Reading Comprehension
| Start Online Test
CLAT LAW Entrance exams
| Online Test
English including comprehension
| Start Online Test
General Knowledge and Current Affairs
| Start Online Test
Elementary Mathematics
| Start Online Test
Logical and Legal Reasoning Aptitude
| Start Online Test
Banking Entrance exams
| Online Test
Bank PO
| Start Online Test
Bank Clerks
| Start Online Test
Specialist Officers (SO)
| Start Online Test
UGC NET Entrance exams
| Online Test
Science
| Start Online Test
Language
| Start Online Test
TANCET Anna University
| Online Test
EEE Electrical and Electronics Engineering
| Start Online Test
ECE Electronics and Communication Engineering
| Start Online Test
CSE, IT Computer Science Engineering and Information Technology
| Start Online Test
Civil Engineering
| Start Online Test
Mechanical Engineering
| Start Online Test
TN State Board
| Online Test
TN 11th Standard
| Start Online Test
TN 12th Standard
| Start Online Test
TN 10th Standard
| Start Online Test