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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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Question # 2
The equation of the parabola with directirx x = 2 and the axis y = 0 is
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y
2
= 8x
y
2
= -8x
y
2
= 4x
y
2
= -4x
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Question # 3
The set of even prime numbers is
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(2,4,6,8,10}
{2,4,6,8,10,12}
{1,3,5,7,9}
{2}
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Question # 4
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n if n is even
0 for any natural number n
1 if in odd
None of these
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Question # 5
The set {1,2,3,4......} is called
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Set of natural numbers
Set of whole numbers
Set of rational number
Set of irrational numbers
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Question # 6
The conic ax2+2hxy+by2+2gx+2fy+c= 0 never represent a circle if
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a≠ b,h≠0
a=b
h≠0
h=0
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Question # 7
1 radian = ______
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180°
90°
57.296°
60°
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Question # 8
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Question # 9
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Question # 10
Tangent is ...............function
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Inverse
one-one
in-to
Periodic
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Question # 11
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Question # 12
The eccentricity of the parabola y
2
= -8x is
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-2
2
-1
1
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Question # 13
The middle term in the expansion of (a +x)
12
is
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7th
8th
9th
6th
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Question # 14
If A = [aij]mxpand B =[aij]pxnthen order of BA is
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m x n
p x n
n x m
None of these
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Question # 15
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Question # 16
if a
9 =19,a9=31 are the 6th and 9th term of an A.P. and d=4 is the common difference, then 18th term of the sequence is
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65
67
71
75
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Question # 17
If ax + bx + c =0 is satisfied by every value of x,then
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b = 0,c = 0
c = 0
b = 0
a = b = c = 0
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Question # 18
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a cot(ax + b) + c
- a cot(ax + b) + c
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Question # 19
The st. lines whose direction cosines satisfy al + bm + cn = 0, fmn + gnl + hlm=0 are perpendicular if
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Question # 20
The value of x for which the polynomials x2 - 1 and x2 -2x + 1 vanish simultaneously is
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2
1
-1
-2
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Question # 21
The general equation of a circle is
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Question # 22
If | x | < 1, then the first two terms of (1 - x)
1/2
are
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Question # 23
If A is a skew-symmetric matrix of order n and P, any square matrix of order n, prove that P' AP is
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Skew-symmetric
Symmetric
Null
Diagonal
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Question # 24
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I and II quadrants
I and III quadrants
II and III quadrants
II and IV quadrants
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Question # 25
1st four terms of the expansion (1-x)
-2
are
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1 + 2x + 3x
2
+ 4x
3
3x
2
+ 2x + 1
1 + 3x + 4x
2
+ 5x
3
None of these
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Question # 26
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100
99
0
none of these
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Question # 27
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Rule of quotient of fraction
Golden rule of fraction
Rule for product of fraction
Principle for equality of fraction
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Question # 28
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5
-5
none
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Question # 29
0! = ______
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0
1
2
Not defined
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Question # 30
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0.9
0.74
0.2016
None of these
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Question # 31
(A∩Bc)c= -------------------------
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Ac∪Bc
Ac∪B
Ac∩B
None of these
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