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Online Tests
ECAT Mathematics Online Test MCQs With Answers
Question # 1
What is the axis of the parabola y
2
= 4ax?
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x = 0
y = 0
x = a
y = 0
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Question # 2
If the roots of 3x2+kx + 12 = 0 are equal then k = ______
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Question # 3
If a plane passes through the vertex of a cone then the intersection is
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an ellipse
a hyperbola
a point circle
a parabola
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Question # 4
If n(X) = 18, n(X∩Y) = 7, n(X∪ Y) = 40 then n(Y) =
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1
12
5
29
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Question # 5
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I quadrant
II quadrant
III quadrant
IV quadrant
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Question # 6
(√3+√5)+√7 = √3 +(√5 +√7) property used in above is
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Commutative property of addition
Closure property of addition
Additive inverse
Associative property w.r.t to adition
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Question # 7
Given two independent event A and B such that P(A) = 0.30 and P(B) = 0.60. Probability of getting neither A nor B is
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0.28
0.13
0.12
0.42
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Question # 8
If n is any positive integer then 3 + 6 + 9 + ....+ 3n = ______
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Question # 9
The exact degree value of the function sin-1( -√3/2) is
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70
ο
50
ο
90
ο
60
ο
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Question # 10
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Question # 11
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Question # 12
If 2 tan
1
(cos x) = tan
-1
(cosec
2
x), then x is equal to
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π
/ 3
π
/ 2
π
/ 6
π
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Question # 13
The multiplicative inverse of 1 is
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1
-1
0
Does not exist
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Question # 14
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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 # 15
a >b ⇒a +c >b +c is known as
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Trichotomy property
Additive property of inequality
Transitive property
Multiplicative property
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Question # 16
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Question # 17
x
2
+ x - 6 = 0 is a conditional equation and it is true for
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2, 3
2, -3
-2, -3
-2, 3
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Question # 18
If x+y+z+......+2n = 2n+1-1∀n∈W,then cube root of xyz is equal to
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1
4
2
8
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Question # 19
Number of conics is
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1
3
2
4
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Question # 20
If all members of a sequence are real numbers then it is called
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A.P
Real Sequence
G.P
None of these
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Question # 21
A line segment whose end points lie on a circle is called
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The secant of the circle
The arc of the circle
The chord of the circle
The circumference of the circle
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Question # 22
The value of i
4n+1
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1
-1
i
i
2
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Question # 23
An expression involving any of the symbols <,>,
<
or
>
is called
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equation
inequality
linear equation
identity
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Question # 24
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0
1
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Question # 25
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Question # 26
The domain of the principle cos function is
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Question # 27
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None of these
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Question # 28
General solution of 1 + cos x = 0 is
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Question # 29
If the roots of ax2 + b =0 are real and distinct then
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ab > 0
a = 0
ab < 0
a > 0,b > 0
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Question # 30
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1
2
3/2
5/2
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Question # 31
∫ x cos dx is equal to :
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x cos x + sin x
cos x + x sin x
x cos x + x sin x
x sin x + cos x
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