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ECAT Mathematics Online Test MCQs With Answers
Question # 1
i
2
=
Choose an answer
1
2
-1
0
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Question # 2
2π is the period of
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sin𝜽
tan𝜽
cot𝜽
all circular function
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Question # 3
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Always negative
Zero
Always positive
Infinity
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Question # 4
tan(3π/2 +θ)=______;
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tanθ
cotθ
-tanθ
-cotθ
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Question # 5
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Lies between 4 and 7
Lies between 5 and 9
Has no value between 4 and 7
Has no value between 5 and 9
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Question # 6
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Question # 7
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9/4
4/9
1
None of these
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Question # 8
If the roots of x
2
+ ax + b = 0 are non-real, then for all real x, x
2
+ ax + b is
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Negative
Positive
Zero
Nothing can be said
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Question # 9
A person standing on the bank of a river observes that the angle subtended by a tree of the opposite bank is 60°, when he retreats 40 m from the bank, he finds the angle to be 30°. The height of the tree and the breadth of the river are
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Question # 10
The set {{a,b}} is
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Infinite set
Singleton set
Two points set
None
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Question # 11
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Polynomial
Equation
Improper rational fraction
Proper rational fraction
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Question # 12
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Question # 13
{1, 2, 3, 4,.....} is set of ______
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Natural numbers
Whole numbers
Integers
Rational numbers
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Question # 14
Union of the sets of rational and irrational numbers is called 6th set of
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Natural numbers
Real numbers
Whole numbers
Prime numbers
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Question # 15
G = {e, a, b, c} is an Abelian group with e as identity element. The order of the other elements are
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2, 2, 2
3, 3, 3
2, 2, 4
2, 3, 4
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Question # 16
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Two real roots
Two positive roots
Two negative roots
One positive and one negative root
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Question # 17
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Question # 18
If z
1
= 1 + 2i, z
2
= 3 + 4i then
Choose an answer
z
1
> z
2
z
1
= z
2
z
1
< z
2
None of these
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Question # 19
Which of the following sets is finite
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The set of natural numbers between 3 and 10
The set of rational numbers between 3 and 10
The set of real numbers between 0 and 1
The set of rational numbers between 0 and 1
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Question # 20
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Question # 21
The centroid of a triangle divides each median in the ratio
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2 : 1
3 : 1
3 : 2
1 : 1
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Question # 22
Range of cot
θ
is
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(+
∞
to -
∞
)
(-1 to +1)
(-5 to +5)
Set of even numbers only
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Question # 23
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Question # 24
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Question # 25
A square matrix all of whose elements except the main diagonal are zeros is called a
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Null matrix
Singular matrix
Symmetric matrix
Diagonal matrix
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Question # 26
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none of these
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Question # 27
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both a & c
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Question # 28
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2
0
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Question # 29
The value of p for which both the roots of the equation 4x2- 20x + (25p2+ 15 p - 66) = 0 are less than 2, lies in
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Question # 30
The first three terms in the expansion of (1 - x)
-3
are
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1 + 3x + 6x
2
1 - 3x + 6x
2
-3 - 3x - 6x
2
1 - 3x - 6x
2
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Question # 31
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Diagonal matrix
Scalar matrix
Triangular matrix
Identity matrix
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