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ECAT Mathematics Online Test MCQs With Answers
Question # 1
Multiplicative inverse of "1" is
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0
-1
1
{0, 1}
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Question # 2
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3 sec
2
x
3 sec
2
3x
sec
2
3x
sec
2
x
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Question # 3
Range of tan
θ
is
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Set of complex numbers
Set of real numbers
Set of odd numbers
Set of positive integers only
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Question # 4
sin 540° =
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0
1
2
3
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Question # 5
In quadratic equation f(x) = ax
2
,if a >0, then the graph of parabola
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Opens up
Opens down
close up
symmetric w.r.t.x.axis
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Question # 6
If the roots of ax
2
+ bx + c =0 are equal in magnitude but opposite in sign, then
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a = 0
b = 0
c = 0
None of these
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Question # 7
For any set X, X∪X is
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X
X'
Φ
Universal Set
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Question # 8
The many subset can be formed from the set {a,b,c,d}
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8
4
12
16
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Question # 9
x is a member of the set [-1, 0, 3, 5] y is a member of the set {-2, 1, 2, 4} which is possible?
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x - y = -6
x - y < -6
x - y > -6
None
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Question # 10
If circumference of circle is divided into 360 congruent parts the angle subtended by one part at the centre of circle is
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1 degree
1 second
1 minute
1 radian
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Question # 11
If A, G, H are the arithmetic, geometric and harmonic means between a and b respectively then A, G, H are in
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A. P.
G. P.
H. P.
None of these
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Question # 12
The angle AOP which the ray from an observer's eye at O to an object at P at a lower level makes with horizontal ray OA through O is called the
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Angle of depression
Angle of elevation
Acute angle
Obtuse angle
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Question # 13
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Question # 14
The value of the expression sin
θ
+ cos
θ
lies between
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Question # 15
if Z1 = 1+i, Z2= 2+3i, then |Z2 -Z1| =
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√3 i
√7
-2-i
√5
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Question # 16
One second is denoted by
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1
0
1'
1"
1 rad
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Question # 17
If B⊆ A, then complement of B in A is = -----------------------
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A-B
A∩B
B-A
A∪B
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Question # 18
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Question # 19
The points (x, y) which satisfy a linear inequality in two variables x and y from its
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domain
range
solution
none of these
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Question # 20
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x
-2
+ c
not possible
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Question # 21
The set of natural numbers is a subset of
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{1, 2, 3, .... 100}
The set of whole numbers
{2, 4, 6, 8, .....}
None of these
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Question # 22
The differential equation representing the family of curves y = A cos (x + B), where A, B are parameters, is
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Question # 23
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Even
Odd
Prime
None of these
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Question # 24
The set of complex numbers forms a group under the binary operation of
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Addition
none of these
Division
Subtraction
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Question # 25
1
0
= ______
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1.5 rad
0.5 rad
0.175 rad
None of these
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Question # 26
The polynomial x - a is a factor of the polynomial f(x) if and only if
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f(a) is positive
f(a) is negative
f(a) = 0
None of these
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Question # 27
A∪(A∪B)= --------------------
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B
A
A∪B
None of these
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Question # 28
(a, b) + (-a, -b) =
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(0,0)
(a, b)
(-a, -b)
(1, 1)
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Question # 29
The value of x for which the polynomials x2 - 1 and x2 -2x + 1 vanish simultaneously is
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2
1
-1
-2
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Question # 30
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Question # 31
A relation in which the equality is true only for some values of the unknown is called
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An identity
An equation
A polynomial
None
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Question # 32
If the flag-staff 6 meters high placed on the top of a tower. Makes the shadow 2√3 m on the ground, then the angle of elevation of the sun is
Choose an answer
30
ο
35
ο
45
ο
60
ο
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Question # 33
The proposition S(n) for any n∈ N is only true if k∈ N and
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S(k +1) is true
S(1) is true and S(k+1) is true whenever S (k) is true
S(k+1) is true whenever S (k) is true
S(k) is true
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Question # 34
If 4
6
P
r
=
6
P
r+1
, then r is equal to
Choose an answer
4
3
2
1
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