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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
Choose an answer
an A.P.
a G.P.
a H.P.
None of these
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Question # 2
Area of inscribed circle is
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π R2
π η2
π r22
π r2
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Question # 3
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Conclusion
Implication
Antecedent
Hypothesis
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Question # 4
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Question # 5
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0
-1
1
not defined
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Question # 6
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Question # 7
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(1, 3)
(-1, -3)
(1, -3)
(-1, 3)
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Question # 8
For two events A and B if P(A) = P (A/B) = 1/4 and P(B/A) = 1/2, then
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A is sub-event of B
A and B are mutually exclusive
A and B are independent and P(A/B) = 3/4
None of these
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Question # 9
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Question # 10
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Question # 11
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π
/ 2
π
/ 3
π
/ 4
π
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Question # 12
The first three terms in the expansion of (1 + x)
-1
are
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1 + x + x
2
1 - x - x
2
-1 -x + x
2
1 - x + x
2
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Question # 13
If |a x b|2 + (a,b)2 = _____
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|a|2 + |b|2
|a|2- |b|2
|a|2|b|2
None
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Question # 14
The direction cosines of any normal to the xy-plane are
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<1, 0, 0>
<0, 1, 0>
<1, 1, 0>
<0, 0, 1>
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Question # 15
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Question # 16
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tan 3x + c
cot 3x + c
- cot 3x + c
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Question # 17
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Question # 18
If (0, 0) and (-1, 0) are end points of a diameter, then the equation of the circle is
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Question # 19
The number of subset of {0} is
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1
2
3
None
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Question # 20
Cos 0° = ______
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-1
0
1
Undefined
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Question # 21
Period of sec x is ______
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Question # 22
If distance of (a,b) from y-axis is 2 then
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a = 2
b = 2
a = b
a = 4
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Question # 23
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Question # 24
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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 # 25
The distance of the point (-2 , -3) from x-axis is
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2
-3
3
5
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Question # 26
The second degree equation 2x2 -xy+ 5x -2y +2 =0 represents
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Circle
Hyperbola
Ellipse
Pair of straight lines
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Question # 27
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30°
45°
60°
90°
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Question # 28
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Question # 29
In set builder notation the set {0,1,2,........100} can be written as
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{x / xε B ∧ x ≤ 100}
{x / x ∈ W ∧ x < 101}
{x / x ∈ Z ∧ x < 101}
The set of first 100 whole numbers
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Question # 30
Choose an answer
n if n is even
0 for any natural number n
1 if in odd
None of these
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Question # 31
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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