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TANCET Anna University
Mechanical Engineering
Mathematics
TEST : 149
TANCET Anna University
Mechanical Engineering
# Mathematics
Relations and Functions
Prepare / Learn
Q1.
A condition for a function y = f (x) to have an inverse is that it should be
A.
an even function
B.
strictly monotone and continuous in the domain
C.
continuous every where
D.
defined for all x
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
No Explaination.
TANCET Anna University
Mechanical Engineering
# Mathematics
Engineering Mathematics
Prepare / Learn
Q2.
The system of linear equations 4x + 2y = 7 2x + y = 6 has
A.
a unique solution
B.
no solution
C.
an infinite number of solutions
D.
exactly two distinct solutions
View Solution
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Answer :
Option B
Explaination / Solution:
TANCET Anna University
Mechanical Engineering
# Mathematics
Probability
Prepare / Learn
Q3.
The chance that an event E ‘occurs’ or does not occur’s
A.
1
B.
0
C.
None of these
D.
2
View Solution
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Answer :
Option A
Explaination / Solution:
No Explaination.
TANCET Anna University
Mechanical Engineering
# Mathematics
Relations and Functions
Prepare / Learn
Q4.
Set A has 3 elements and set B has 4 elements. The number of injections that can be defined from A to B is
A.
144
B.
12
C.
64
D.
24
View Solution
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Answer :
Option D
Explaination / Solution:
No Explaination.
TANCET Anna University
Mechanical Engineering
# Mathematics
Engineering Mathematics
Prepare / Learn
Q5.
The equation sin(z) = 10 has
A.
no real or complex solution
B.
exactly two distinct complex solutions
C.
a unique solution
D.
an infinite number of complex solutions
View Solution
Add Work Space
Answer :
Option A
Explaination / Solution:
No Explaination.
TANCET Anna University
Mechanical Engineering
# Mathematics
Probability
Prepare / Learn
Q6.
Mean number of ‘sixes’ in four throws of a fair dic is
A.
1
B.
6/4
C.
4/6
D.
1/4
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Answer :
Option C
Explaination / Solution:
No Explaination.
TANCET Anna University
Mechanical Engineering
# Mathematics
Relations and Functions
Prepare / Learn
Q7.
The range of the function
f
(
x
)
=
x
2
−
x
+
1
x
2
+
x
+
1
is
A.
[3, ∞∞)
B.
[1/3,3]
C.
none of these
D.
R
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
No Explaination.
TANCET Anna University
Mechanical Engineering
# Mathematics
Engineering Mathematics
Prepare / Learn
Q8.
For real values of x , the minimum value of the function f (x) = exp(x) + exp(- x) is
A.
2
B.
1
C.
0.5
D.
0
View Solution
Add Work Space
Answer :
Option A
Explaination / Solution:
TANCET Anna University
Mechanical Engineering
# Mathematics
Probability
Prepare / Learn
Q9.
From a deck of 52 cards, the probability of drawing a court card is
A.
1/4
B.
3/13
C.
1/13
D.
4/13
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
No Explaination.
TANCET Anna University
Mechanical Engineering
# Mathematics
Relations and Functions
Prepare / Learn
Q10.
On the set Z of all integers define f ; Z
→
Z as follows : f ( x ) = x/2 if x is even , and f ( x ) = 0 if x is odd , then f is
A.
one-one but not onto
B.
into
C.
one-one and onto
D.
onto but not one-one
View Solution
Add Work Space
Answer :
Option D
Explaination / Solution:
No Explaination.
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TANCET Anna University
Mechanical Engineering
Mathematics
TEST : 149
Mathematics
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Engineering Mathematics
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Maths Sets
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Relations and Functions
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Trigonometric Functions
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Principle of Mathematical Induction
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Complex Numbers and Quadratic Equations
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Introduction to Three Dimensional Geometry
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Chapter 1: Sets, Relations and Functions
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Chapter 5: Binomial Theorem, Sequences And Series
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Chapter 1: Applications of Matrices and Determinants
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Chapter 2: Complex Numbers
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Chapter 5: Two Dimensional Analytical Geometry II
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Chapter 1: Relation and Function
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Chapter 9: Applications of Integration
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Chapter 10: Ordinary Differential Equations
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Chapter 11: Probability Distributions
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