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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
for n€ N, 3
2n + 7 is divisible by
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7
8
9
10
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Question # 2
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x
3
- x
2
+ x + c
6x - 2 + c
x
3
- 2x + c
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Question # 3
If x - 1 is a factor of x4 - 5x2 + 4 then other factor is
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(x + 2)2(x - 1)
(x + 2)(x - 1)2
(x+2)(x2- x- 2)
(x + 2)2(x - 1)2
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Question # 4
If n(A) = n then n(P(A)) is
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2n
n
2
n/2
2
n
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Question # 5
For each real number, there is a number which is its
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Negative
Possitive
Opposite
Similar
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Question # 6
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0
1
-A
-1
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Question # 7
Inequalities have ______ symbol
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2
3
4
1
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Question # 8
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I and
I
I quadrants
I
I and
I
I
I quadrants
I
I and
I
V
quadrants
none of these
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Question # 9
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Question # 10
If a set S contains n elements then P (S) has ........ number of elements
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2
n
2
n2
2.n
n
2
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Question # 11
For an A.P common difference d
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Can be zero
May or may not zero
Cannot be zero
None of these
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Question # 12
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a sec(ax + b) + c
- a sec(ax + b) + c
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Question # 13
cos(a +β)-cos(a-β) = _______;
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2cosa cosβ
2sina cosβ
-25 in a cosβ
-2sin a sinβ
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Question # 14
f(x) = sin x + cos
2
x is
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trigonometric function
algebraic function
exponential function
logarithmic function
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Question # 15
Let A be a square matrix. Then, 1/2 (A-A') is
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Skew-symmetric
Symmetric
Null
None of the above
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Question # 16
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Diagonal matrix
Scalar matrix
Triangular matrix
Identity matrix
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Question # 17
The slope of the tangent at the point (h,h) of the circle x2 +y2 =a2 is
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0
1
-1
h
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Question # 18
The minimum value of the quadratic function f(x) = x2 +6x -2, is
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11
6
-11
13
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Question # 19
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Question # 20
One degree is denoted by
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1
0
1'
1"
1 rad
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Question # 21
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[0, 0, 0]
[1, 0, 0]
[0, 1, 0]
[0, 0, 1]
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Question # 22
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Question # 23
The eccentricity of the parabola y
2
= -8x is
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-2
2
-1
1
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Question # 24
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Question # 25
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x = 3
x = 1/5
x = 0
None of these
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Question # 26
There are 25 tickets bearing number from 1 to 25. One ticket is drawn at random. The probability that the number on it is a multiple of 5 or 6 is
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7 / 25
9 / 25
11 / 25
None of these
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Question # 27
For trival solution |A| is
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A
|A| is non zero
A = 0
None of these
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Question # 28
The angles with some initial and terminal sides are called
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Quadrantal angles
Coterminal angles
Allied angles
None
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Question # 29
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(1, 3)
(-1, -3)
(1, -3)
(-1, 3)
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Question # 30
If a cone is cut by a plane perpendicular to the axis of the cone, then the section is a
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parabola
circle
hyperbola
ellipse
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Question # 31
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