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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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Question # 2
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none of these
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Question # 3
A conjunction of two statement p and q is true only if
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p is true
q is true
Both p and q are true
both p and q are false
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Question # 4
Range of sin
θ
is
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Question # 5
The probability that the sum of dots appearing in two successive thrown of two dice, in every time 7 is
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1/5
1/36
1/7
1/63
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Question # 6
If a,β are the roots of ax2+bx+c=0,the equation whose roots are doubled is
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ay2 +2by+c=0
ay2+2by+4c=0
ay2+2by+c=0
ay2+by+4c=0
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Question # 7
For any set X, X∪X is
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X
X'
Φ
Universal Set
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Question # 8
If the angle between two vectors with magnitude 6 and 2 is 60° when their scalar product is
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12
6
3
0
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Question # 9
The common ration of a geometric sequence cannot be
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0
1
2
3
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Question # 10
The nth term of an A.P is (3n+5) Its 75th term is
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26
7
21
Cannot be determined
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Question # 11
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2
-1
8
not defined
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Question # 12
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Question # 13
The fifth term of (a+2x3)17 is
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4013 x3a13
2208a13 x12
223x7a18
38080a13 x12
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Question # 14
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0
1
-1
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Question # 15
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Diagonal matrix
Scalar matrix
Triangular matrix
Identity matrix
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Question # 16
Which of the following integrals can be evaluated
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Question # 17
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Question # 18
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Question # 19
H.M. between 3 and 7 is
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Question # 20
An ellipse slides between two lines at right angles to one another. The locus of its centre is :
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a parabola
an ellipse
a circle
a hyperbola
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Question # 21
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16
None of these
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Question # 22
A line joining two distinct points on a parabola is called a ______ of the parabola.
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Chord
Tangent
Lust rectum
directrix
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Question # 23
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Question # 24
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Question # 25
In the expansion of (a + x)
n
the sum of exponents of a and x in each term of the expansion is
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n + 1
n - 1
n
2n
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Question # 26
√25 is a number
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Rational
Irrational
Natural
Odd
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Question # 27
The range of y = sin x is ______
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[1, -1]
[-1, 1]
[0, -1]
[-
∞
+
∞
]
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Question # 28
The parabola y2 + 2y + x = 0 lie in _____ quadrant.
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First
Second
Third
Fourth
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Question # 29
If (0, 0) and (0, -1) are end points of a diameter, then the equation of the circle is
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Question # 30
If a
1
, r are first term and the common ratio respectively then the sum of an infinite geometric series is
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Question # 31
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