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ECAT Mathematics Online Test MCQs With Answers
Question # 1
Choose an answer
I
14 I
0
None of these
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Question # 2
In a quadratic equation with leading co-efficient 1, a student reads the co-obtain the roots as - 15 and -4. The correct roots are
Choose an answer
6, 10
-6, -10
8, 8
-8, -8
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Question # 3
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Question # 4
∀ z ∈ C, multipliucative is
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(1,1)
(1,0)
(0,1)
None of these
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Question # 5
w
11
= ______
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0
1
w
w
2
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Question # 6
θ and 2kπ+θ are the ________ angles
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Quadrantal angles
Coterminal
Allied
None
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Question # 7
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30°
45°
60°
120°
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Question # 8
In R the left cancellation property w.r.t addition is
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Question # 9
In following question, a number series is given with one term missing. choose the correct alternative that will same pattern and fill in the blank spaces.1 , 4, 9, 16, 25, x
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35
36
48
49
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Question # 10
If A is a skew-symmetric matrix of order n and P, any square matrix of order n, prove that P' AP is
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Skew-symmetric
Symmetric
Null
Diagonal
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Question # 11
The period of the function csc x/4 us
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4x
π/4
8π
π/8
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Question # 12
if a
1
=3, d=7 and a
n
=59 , then the number of terms in A.P is
Choose an answer
7
9
11
13
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Question # 13
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Singleton set
A set with two points
Empty set
None of these
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Question # 14
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Question # 15
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One-to-one and onto
One-to-one but not on to
Onto but not one-to-one
Neither one-to-one nor onto
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Question # 16
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Question # 17
a.a
-1
= a
-1
.a = 1 is a
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Commutative law of multiplication
Multiplicative identity
Associative law of multiplication
Multiplicative inverse
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Question # 18
The number of different ways of describing a set is
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One
Two
Three
Four
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Question # 19
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none of these
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Question # 20
If A and B are two disjoint events then
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P(A∪B)=P(A)+P(B)
P(A∪B)=P(A)-P(A∪B)
P(A∪B)=P(A)or P(B)
None
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Question # 21
Choose an answer
The law of sines
The law of consines
The law of tangents
None of these
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Question # 22
The system of measurement in which the angle is measured in degrees, minutes and seconds is called the
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circular system
CGS system
sexagesimal system
none of these
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Question # 23
The equations of the line thro' the point (2, 3, -5) and equally inclined to the axis are
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Question # 24
The line through the focus and perpendicular to the directrix is called ______ of the parabola
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axis
focal chord
tangent
latus rectum
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Question # 25
If ax + bx + c =0 is satisfied by every value of x,then
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b = 0,c = 0
c = 0
b = 0
a = b = c = 0
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Question # 26
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1, 2, 3
1, 5, 9
2, 5, 8
3, 6, 9
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Question # 27
The tangent to the parabola y2 =4ax and perpendicular line from the focus on it meet
Choose an answer
x =0
y =0
x =-9
y = -a
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Question # 28
An integer is chosen at random from the number ranging from 1 to 50. the probability that the integer chosen is a multiple of 2 or 3 or 10 is
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3 / 10
5 / 10
7 / 10
9 / 10
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Question # 29
The range of the function f : x→ y is defined by
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{x| y = f (x) ∀x∈ X ∧y∈y}
{(x,y) |y = f (x)∀x∈ X}
{y|y = f (x) ∀x∈ X ∧y∈y}
Y
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Question # 30
The transport of a null matrix is
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Row matrix
Column matrix
Square matrix
Null matrix
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Question # 31
u,v,wand u x (v.w) are
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Equal
Parallel
Additive immense of each other
Meaningless
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