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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The position vector of the point P(a, b, c) is
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Question # 2
The physical quantity which possesses both magnitude and direction is called a
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scalar
vector
constant
none of these
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Question # 3
i
is equal
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(1 , 0)
(0 , 1)
(1 , 1)
(0 , 0)
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Question # 4
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Question # 5
Roots of the equation 2x
2
- 7x + 3 = 0 are
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Rational
Irrational
Complex
None of these
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Question # 6
6 is
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A prime integar
An irrational number
A rational number
An odd integer
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Question # 7
1 radian = _____
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60°
57.296°
57.2°
180°
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Question # 8
Domain of cos
θ
is
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Set of odd numbers
Set of integers
Set of real numbers
Set of complex numbers
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Question # 9
Which is a proper rational fraction
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Question # 10
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360°
180°
90°
None of these
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Question # 11
The period of sin x/2 = Cos x/3 is
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2p
12p
13p
7p
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Question # 12
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3
1
2
4
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Question # 13
Form a group of 5 men and 3 women, a committee of 4 persons is to be selected randomly. The probability that there is a majority of men is
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1/4
1/3
1/2
1/6
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Question # 14
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A finite non-empty set
Null set
Both a and b
None of these
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Question # 15
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Parallel to the plane
At right angles to the plane
Lies in the plane
Meet the plane obliquely
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Question # 16
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Polynomial
Equation
Improper rational fraction
Proper rational fraction
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Question # 17
If 3x4 +4x3+x5is divided by x+1 , which of the following is the remainder
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7
-2
6
1
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Question # 18
The last term of (1+2x)-2
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(-1)-2 (2x)-2
(-1)-4(-2x)-2
(-1)-3(2x)-3
Does not exist
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Question # 19
Number of lines passing through three non-collinear points is
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2
3
1
0
∞
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Question # 20
The square matrix A is skew-symmetric when At =
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-B
-C
-A
-D
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Question # 21
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A
B
U
None of these
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Question # 22
An equation containing at least one derivative of a depends variable with respect to independent variable is a (an)
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Implicit equation
Differential equation
General equation
None of these
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Question # 23
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Question # 24
The square roots of negative numbers is called
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Real no
Complex no
Positive no
Negative no
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Question # 25
The period of the function csc x/4 us
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4x
π/4
8π
π/8
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Question # 26
In quadratic equation y=ax
3
+bx+c, if b and c are both zero then the graph is
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Symmetric w.r.t.y-axis
Symmetric w.r.t.x-axis
Straight Line
Circle
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Question # 27
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none of these
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Question # 28
Name the property used in 100 + 0 = 100
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Additive inverse
Multiplicative inverse
Additive identity
Multiplicative identity
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Question # 29
The angle of elevation of a tower from a point A due south of it is x and from a point B due east of A is y. If AB = 1, then the height h of the tower is given by
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Question # 30
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Question # 31
The property used in -3 <-2 ⇒0 <1
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Commutative property
Additive property of inequality
Additive inverse
Additive identity
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