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Online Tests
ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
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Question # 2
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 # 3
The period of the function f(x) = sin
4
x + cos
4
x is
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π
π
/2
2
π
None of these
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Question # 4
The line 3x - 4y = 0
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Is a tangent to the circle x
2
+ y
2
= 25
Is a normal to the circle x
2
+ y
2
=25
Does not meet the circle x
2
+ y
2
= 25
Does not pass thro' the origin
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Question # 5
When rational fraction is separated into partial fractions, the result is
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an identity
A fraction
A partial sum
Improper fraction
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Question # 6
If f(x) = x
2
-x then f(0) is
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0
1
2
3
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Question # 7
2.333....is a
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Irrational no
Complex no
Rational no
None of these
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Question # 8
The expansion (1 + x)
-3
holds when
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|x| > 1
|x| < 1
x < 1
x > 1
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Question # 9
Sin 90° = ______
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-1
0
1
Undefined
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Question # 10
Minor of an element a
ij
is denoted by
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M
ij
A
ij
|A|
None of these
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Question # 11
The function sine and Cosine have the closed internal as their range
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[1, 0]
[-1, 1]
[0, 1]
[-1, 2]
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Question # 12
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Question # 13
The parabola y2 + 2y + x = 0 lie in _____ quadrant.
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First
Second
Third
Fourth
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Question # 14
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Question # 15
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1, 1/2, 0
1, 2, 1
1, 2, 3
1, 2, 0
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Question # 16
In R the left cancellation property w.r.t addition is
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Question # 17
A die is thrown, the probability that the dots on the top are prime numbers or odd numbers is
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1/2
2/3
1/3
2/5
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Question # 18
π
is the period of the function
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|sin x| + |sin x|
sin
4
x + cos x
sin (sin x) + sin (cos x)
None of these
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Question # 19
The 60th part of one minute is called
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Degree
Second
Radiam
None of these
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Question # 20
f(x) = C is
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identity function
constant function
linear function
quadratic function
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Question # 21
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Question # 22
If (1+x-2x
3
)
6
= 1+a
1
x + a
2
x
2
+ a
3
x
3
+ ..... the the value of a
2
+ a
4
+ a
6
+ .....+a
12
will be
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32
31
64
1024
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Question # 23
If b
2
- 4ac is positive then the roots of the equation are
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Real
Imaginary
Positive
Negative
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Question # 24
(A∩Bc)c= -------------------------
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Ac∪Bc
Ac∪B
Ac∩B
None of these
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Question # 25
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Question # 26
The slope of the tangent of the circle x
3
+ y
3
=25 at (4,3) is:
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-4/5
4/3
-25/4
25/3
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Question # 27
The differential equations of all conis whose axes coincide with the co-ordinate axis is
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Question # 28
The equation of the circle wit (-1, 1) and radius 2 is
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Question # 29
The value of x, and y, when (x + iy)
2
= 5 + 4i
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X = 2, y = 1
X = -2, y = 1
X = 2, y = -1
X = 2, y = 2
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Question # 30
Parametric equation of circle : x
2
+y
2
+r
2
, are
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r1 = x cos𝜽 r
2
= y sin𝜽
x = r cos𝜽 y = r sin𝜽
x = r sin𝜽1 y = r sin𝜽2
x = r
1
cos𝜽 y = r
2 sin𝜽
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Question # 31
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