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ECAT Mathematics Online Test MCQs With Answers
Question # 1
If b
2
- 4ac = 0 then the roots of the equation are
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Real and distinct
Real and equal
Imaginary
None of these
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Question # 2
In set builder notation the set {0, 1, 2, ............, 100} can be written as
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Question # 3
A chimney is such that on walking towards it 50 m in a horizontal line through its base the angular elevation of its top changes from 30° to 45°. The height of the chimney is
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Question # 4
The distance of the point (a, b) from x-axis is
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a
b
a + b
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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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Question # 7
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Question # 8
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Question # 9
Which of the following integrals can be evaluated
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Question # 10
The set {Z\{0}} is group w.r.t
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Addition
Multiplication
Division
Subtraction
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Question # 11
The transport of a square matrix is a
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Row matrix
Column matrix
Square matrix
Null matrix
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Question # 12
An event having more than one sample point is called
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Certain event
Compound event
Simple event
None
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Question # 13
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Commutative law of multiplication
Closure law of multiplication
Associative law of multiplication
Multiplication identity
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Question # 14
The sum of infinite numbers of terms of an arithmetic series is
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Finite
Infinite
May or may not finite
None of these
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Question # 15
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 # 16
If f(x) = x
3
- 2x
2
+ 4x -1 then f(2) is
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7
-16
16
-9
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Question # 17
Geometrically the modulus of a complex number represents its distance from the
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Point (1,0)
Point (0,1)
Point (1,1)
Point (0,0)
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Question # 18
Corner point of the system x - y≤ 2,x + y≤ 4,2x -y≤ 6,x≥ 0,y≥ 0
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(1,4)
(4,2)
(3,1)
(4,1)
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Question # 19
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Question # 20
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Question # 21
A box contains 10 red 30 white and 20 black marbles When a marble is drawn at random the probability that it is either red or white is
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1/6
1/3
1/2
2/3
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Question # 22
x = 1 is in the solution of the inequality
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x + 1 > 0
x - 2 > 0
3x - 1 < 0
x + 2 < 0
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Question # 23
The positive value of k for which the equation x2 + kx + 64 = 0 has one of the roots 0
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4
64
8
All values of k
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Question # 24
An experiment yields 3 mutually exclusive and exhaustive events A, B, C, if P(A) =2 and P(B) = 3. then P(C) =
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1 / 11
2 / 11
3 / 11
6 / 11
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Question # 25
The sum of first 60 natural numbers is
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1830
3660
1640
1770
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Question # 26
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Question # 27
the curve of the parabola y
2
= -4ax is symmetric with respect to
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x -axis
y - axis
Botha x and y- axis
None of thes
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Question # 28
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Question # 29
The eccentricity of parabola is:
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1
0
Greater than 1
Less than 1
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Question # 30
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4A - 3I
3A - 4I
A - I
None of these
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Question # 31
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Natural numbers
Whole numbers
Integers
Rational numbers
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