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ECAT Mathematics Online Test MCQs With Answers
Question # 1
Choose an answer
1/8
1/2
1/4
1/6
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Question # 2
The sample space for tossing a coin once is
Choose an answer
{T, T}
{H, H}
{H, T}
None of these
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Question # 3
Which of the following has the same value as i113
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i
-1
-i
1
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Question # 4
If the elevation of the sun is 30°, then the length of the shadow cast by a tower of 150 ft height is
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Question # 5
The roots of the equation 4x - 3.2x+2 + 32 = 0 would include
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1 and 3
1 and 4
1 and 2
2 and 3
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Question # 6
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Question # 7
The set R is ........w.r.t subtraction
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Not a group
A group
No conclusion drawn
Non commutative group
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Question # 8
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Question # 9
I is not
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Real number
Natural number
Prime Number
Whole Number
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Question # 10
A function f(x) is said to be the periodic function if for all x in the domain of f, there exists a smallest positive number p such the f(x + p) = ______
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f(p)
f(x)
f(o)
None of these
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Question # 11
The number of combinations of 10 different objects taken 8 objects at a time is
Choose an answer
90
45
55
50
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Question # 12
A circle is a limiting case of an ellipse whose eccentricity
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Tends to a
Tends to b
Tends to 0
Tends to a + b
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Question # 13
The set of complex numbers forms
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Commutative group w.r.t addition
Commutative group w.r.t multiplication
Commutative group w.r.t division
Non commutative group w.r.t addition
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Question # 14
If -1 < x < 0, which of the following statements must be true?
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x < x
2
< x
3
x < x
3
< x
2
x
2
< x
3
< x
x
2
< x < x
3
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Question # 15
The sum of all odd numbers between 100 and 200 is
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6200
7500
6500
3750
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Question # 16
sn (2sin-10.8)
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0.56
0.69
-0.16
0.96
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Question # 17
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Question # 18
Graph of the question x
2
+ y
2
= 4 is
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A circle
An ellipse
A parabola
A square
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Question # 19
Number of ways of writing the letters of WORD taken all at a time is
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24
4
12
6
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Question # 20
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 # 21
Through how many radians does the hour hand of a clock turn in one hour
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Question # 22
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1
2
3/2
5/2
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Question # 23
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15
9
7
8
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Question # 24
Choose an answer
none of these
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Question # 25
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1
3
2-i
-1
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Question # 26
x = sin
-1
3, then the value of sin x is
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√(3/2)
3
Not possible
-1
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Question # 27
3x + 4
<
0 is
Choose an answer
not inequality
equation
identity
inequality
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Question # 28
The function f(x) =|x| is a/an_______function
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Even
Odd
Both even as well as odd
Neither even nor odd
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Question # 29
If A∩B=B, then n(A∩B) is equal to
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n(a)
n(a)+n(c)
n(c)
None of these
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Question # 30
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a sec(ax + b) + c
- a sec(ax + b) + c
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Question # 31
The second degree equation of the form Ax2 +By2 +Gx +Fy +C =0 represent hyperbola if
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A = B≠ 0
A≠ B and both are of same sign
A≠ B both are of opposite sign
Either A = 0 or B =0
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