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Online Tests
ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
The graph of the quadratic equation is
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Straight line
Circle
Parabola
elipse
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Question # 2
The point (1,3) is one solution of
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3x + 5y > 29
3x + 5y < 7
x + 2y < 4
x + 4y > 3
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Question # 3
The equation of the normal to the circle x
2
+ y
2
= 25 at (4, 3) is
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3x - 4y =0
3x - 4y =5
4x + 3y = 5
4x + 3y = 25
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Question # 4
The direction cosines of y-axis are
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1, 0, 0
0, 1, 0
0, 0, 1
1, 1, 1
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Question # 5
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 # 6
The transpose of a column matrix is a ______
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Zero matrix
Diagonal matrix
Column matrix
Row matrix
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Question # 7
If (1+x)
n
=C
0
+ C
1
x +C
2
x
2
+ ......+C
n
x
1
then C
0
C
2
+ C
1
C
3
+ C
2
C
4
+ .....+C
n-2
C
n
=
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Question # 8
Sum of all the four forth roots of unity is
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1
-1
i
0
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Question # 9
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Question # 10
(1 - x)
3
= ______
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1 + 3x + 3x
2
+ x
3
1 + x + x
2
+ x
3
1 - x + x
2
- x
3
1 - 3x + 3x
2
- x
3
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Question # 11
If sin x + sin
2
x = 1, then the value of Cos
12
x + 3cos
10
x + 3cos
8
x + cos
6
x + 2 cos
4
x + cos
2
x-2 is equal to
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0
1
2
sin
2
x
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Question # 12
If a force F = 2i + j +3k acts at point (1,-2,2) of a body then the moment of F about a pint lying on the line of action of the force is
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5
Equal to the moment of the force about origin
0
Cannot be found
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Question # 13
The range of the principle cos function is
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Question # 14
Distance between A(3, 8), B(5, 6) is
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Question # 15
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Question # 16
If distance between (a,2) and (0,0) is 2 then a = _______
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0
2
4
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Question # 17
7
2n
+ 3
n-1
. 2
3n-3
is divisible by
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24
25
9
13
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Question # 18
The number of arbitrary constants in the general solution of a differential equation is equal to the different equation
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Order
Degree
Variables
All are correct
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Question # 19
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Question # 20
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Question # 21
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2x - 3x + c
x
2
- 3x + c
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Question # 22
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Question # 23
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Question # 24
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Question # 25
The value of the expression 3 cosθ+ 4 sinθθlie between
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-7 and 7
-25 and 25
-1 and 1
-5 and 5
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Question # 26
If A is a set then any subset R of A x A is called
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relation on A
relation on B
relation from A to B
relation from B to A
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Question # 27
u,v,wand u x (v.w) are
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Equal
Parallel
Additive immense of each other
Meaningless
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Question # 28
The set of complex numbers forms a group under the binary operation of
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Addition
none of these
Division
Subtraction
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Question # 29
Union of the sets of rational and irrational numbers is called 6th set of
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Natural numbers
Real numbers
Whole numbers
Prime numbers
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Question # 30
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Question # 31
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Reflexive property
Symmetric property
Cancellations property w.r.t. addition
Transitive property
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