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Online Tests
ECAT Mathematics Online Test MCQs With Answers
Question # 1
The point ________ is in the solution of the inequality 2x - 3y < 4
Choose an answer
(0, -2)
(1, -3)
(2, 2)
(3, 0)
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Question # 2
Write down the power set of {9, 11}
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Question # 3
An open sentence formed by using the sign of equality "=" is called
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Equation
In equation
True sentence
False sentence
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Question # 4
(x3-1/x)12
Choose an answer
295
495
395
722
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Question # 5
If A(a,b) lies on 3x +2y =13 and point B(b,a) lies on x-y =5 then equation of AB is
Choose an answer
x- y= 5
x+ y+ =5
x+ y= -5
5x +5y =21
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Question # 6
Domain of cot x is ______
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Question # 7
If all members of a sequence are real numbers then it is called a
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Series
Function
Real sequence
Range
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Question # 8
120° degrees are equal to how many radians?
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Question # 9
6 is
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A prime integer
An irrational number
A rational number
An odd integer
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Question # 10
The period of|sin2x| is
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π/2
-π/2
π
π/3
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Question # 11
Choose an answer
20
10
0
None of these
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Question # 12
The area under the curve y = 1/x
2
between x = 1 and x =4 is:
Choose an answer
-25
0.75
-0.35
-10
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Question # 13
The area bounded by y = x (x2 - 4) and below x - axis is
Choose an answer
4
0
-4
8
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Question # 14
If f (x) = |x|, then (0,0) is the
Choose an answer
Critical point
Inflection point
Stationary point
None of these
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Question # 15
x = -1 is in the solution of the inequality
Choose an answer
x + 5 < 0
2x + 3
<
0
x > 0
2x + 3 > 0
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Question # 16
The radius of the circle (x - 1)
2
+ (y + 3)
2
= 61 is
Choose an answer
8
4
64
None of these
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Question # 17
The set Q
Choose an answer
Forms a group under addition
Does not form a group
Contains no additive indentity
Contains no additive inverse
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Question # 18
Choose an answer
x
3
- x
2
+ x + c
6x - 2 + c
x
3
- 2x + c
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Question # 19
Which is an explicit function
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y = x
2
+ 2x - 1
x
2
+ xy + y
2
= 2
x
2
+ y
2
= xy + 2
All are
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Question # 20
x
2
+ x - 6 = 0 is
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An equation
An identity
A polynomial
None of these
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Question # 21
The lotus of intersection of perpendicular tangents to the parabola y
2
= 4ax is:
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Axis of the parabola
Focal chord of the parabos
The tangent at vertex of the parabola
a directrix of the parabola
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Question # 22
For different values of k equation 4x+5y =k represents
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Parallel lines
Lines parallel to x -axis
Perpendicular lines
Lines parallel to y -axis
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Question # 23
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Question # 24
Choose an answer
π / 3
π / 4
π / 2
π
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Question # 25
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Question # 26
Root of the equation 3
x-1
+ 3
1-x
= is
Choose an answer
2
1
0
-1
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Question # 27
Number of permutations of n distinct objects taken r(<n - 3) at a time which exclude 3(<n) particular objects is
Choose an answer
3! P(n, r - 3)
P(n, 3) P(n, r - 3)
P(r, r)P(n, r - 3)
P(n - 3, r)
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Question # 28
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Question # 29
The graph of y < 2 is the
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Left half plane
upper half plane
Right half plane
Lower half plane
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Question # 30
Sin h
-1
x = _________
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Question # 31
1st four terms of the expansion (1-x)
-2
are
Choose an answer
1 + 2x + 3x
2
+ 4x
3
3x
2
+ 2x + 1
1 + 3x + 4x
2
+ 5x
3
None of these
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