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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
For the parabola the line through focus and perpendicular to the directrix is called
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Tangent
Vertex
Axis
None
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Question # 2
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4
3
2
1
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Question # 3
The standard form of the quadratic function f(x) = -x
2
+4x+2, is
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(x-2)
2
+6
-(x-2)
2
+ 6
(x-3)
2
+5
(x+4)
2
-7
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Question # 4
The additive identity of real number is
Choose an answer
1
2
1/2
0
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Question # 5
2x
3
+ 3x + 9 is a ______
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Polynomial of degree 3
Quadratic equation
Cubic equation
Polynomial of degree 2
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Question # 6
Which of the following is the definition of singleton
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The objects in a set
A set having no element
A set having no subset
None of these
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Question # 7
Two cards are drawn at random from a well shuffled pack of cards. The probability that at least one of them is a face card is
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3 / 17
5 / 17
7 / 17
9 / 17
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Question # 8
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 # 9
The negation of given number is a
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Binary operation
Unary operation
Relation
None of these
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Question # 10
What is the value of cos (cos-1 2) ?
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√2
1/2
undefine
0
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Question # 11
Name the property used in a (b-c) = ab - ac
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commutative property of multiplication
distributive property of multiplication
associative property of multiplication
multiplicative inverse
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Question # 12
The domain of the function y = sin x , is
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-π/2≤ x≤ π/2
π/ ≤ x≤ π
-2π ≤ x≤ 2π
-1 ≤ x≤ 1
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Question # 13
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An empty set
Universal set
A singleton set
None of these
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Question # 14
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0
1
-1
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Question # 15
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Question # 16
The value of x for which the polynomials x2 - 1 and x2 -2x + 1 vanish simultaneously is
Choose an answer
2
1
-1
-2
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Question # 17
If the expansion of (1 + x)
20
, then co-efficient of rth ad (r + 4)th term are equal, then r is
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7
8
9
10
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Question # 18
An equation of the form ax + by = k is homogeneous linear equation when:
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Question # 19
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none of these
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Question # 20
The graph of a quadratic function is
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Circle
Ellipse
Parabola
Hexagon
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Question # 21
Which of the following is factor of p(x) =2x3 +3x2+3x+2 ?
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x+1
2x+1
3x+1
2x-1
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Question # 22
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Question # 23
Domain of sin x is ______
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Question # 24
The 6th term of an arithmetic sequence whose first term is 3 and common difference in zero is
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18
6
3
0
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Question # 25
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Question # 26
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Question # 27
There is no integer n for which 3n is
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Even
Prime
Odd
Real
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Question # 28
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y + 1 = Ae
x
y + 1 = Axe
x
xe
x
= C
y + xe
x
= C
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Question # 29
Sine rule for a triangle states that
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a/sin A = b/sin B = c/sin C
sin A/a = sin B/b = sin C/c
a/sin A + b/sin B + c/sin C
2a/sin A = 2b/sin B = 2c/sin C
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Question # 30
Rational number is a number which can be written as a terminating decimal fraction or a
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Non-terminating decimal fraction
Non-recurring
Recurring decimal fraction
a, b and c
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Question # 31
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