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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
x
2
+ x - 5 = 0 is
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A polynomial
An inequality
An identity
None
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Question # 2
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Question # 3
The square root of every incomplete square is an
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Rational numbers
Even numbers
odd numbers
Irrational numbers
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Question # 4
If the sum of even coefficients in the expansion of (1+x)n is 128 then
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n=7
n=9
n=8
None
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Question # 5
A matrix in which the number of rows is not equal to the number of columns is called a
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Diagonal matrix
Rectangular matrix
Square matrix
Scalar matrix
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Question # 6
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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 # 7
The set {1,-1, i, -i} form a group under
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Addition
Multiplication
Subtraction
None
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Question # 8
s > t then
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(s - t)
2
> (t - s)
2
(s - t)
2
< (t - s)
2
(s - t)
2
= (t - s)
2
None
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Question # 9
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Question # 10
Name the property used in 4 + 9 = 9 + 4
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Associative property of addition
Commutative property of addition
Distributive property
Additive identity
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Question # 11
If (a, b) is the mid-point of a chord passing thro' the vertex of the parabola y
2
= 4x, then
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a = 2b
2a = b
a
2
= 2b
2a = b
2
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Question # 12
A diagonal matrix in which the diagonal elements are equal is called a
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Null matrix
Identity matrix
Scalar matrix
Row matrix
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Question # 13
24 can be written as a product of
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Odd factors
Even factors
Whole factors
Prime factors
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Question # 14
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Question # 15
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A prime number
An integer
A whole number
An irrational number
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Question # 16
If B-A≠φ , then n(B-A) is equal to
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n(a)+n(c)
n(c)-n(a)
n(a)-n(c)
None of these
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Question # 17
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1
-1
-1/2
1/2
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Question # 18
3x + 4
>
0 is
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equation
inequality
identity
none of these
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Question # 19
The exponent of x in 10th term in the expansion of (a+x)n
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10
12
11
9
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Question # 20
In-radius is denoted by
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r
η
r2
R
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Question # 21
The point of concurrency of the medians of the ΔABC is called its
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Orthocenter
Centriod
Circumcentre
Incentre
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Question # 22
The solution set of the inequality ax + by < c is
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straight line
half plane
parabola
none of these
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Question # 23
E-radius corresponding to < B is
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Question # 24
{1, 2, 3} is _____
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an infinite set
A finite set
A singleton set
Universal set
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Question # 25
Choose an answer
2
2
- n - 1
1 - 2
-n
n + 2
-n
-1
2
n
- 1
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Question # 26
sin(3π/2 -θ)=_______;
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sinθ
cosθ
-sinθ
-cosθ
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Question # 27
The first three terms in the expansion of (1 - x)
-2
are
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1 - 2x + 3x
2
1 - 2x - 3x
2
1 + 2x + 3x
2
-2 - 2x +3x
2
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Question # 28
The geometrical representation of a linear function is
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Circle
Parabola
Straight lie
None of these
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Question # 29
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Question # 30
The area enclosed between the graph y = x
2
-4x and the x- axis is:
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20/3
41/3
32/3
25/3
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Question # 31
The total number of subsets that can be formed out of the set {a, b, c} is
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1
4
8
12
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