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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
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Question # 2
If a
1
, r and a
n
are the first term, common ratio and the nth term respectively of a G. P. then a
n
=
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a
1
r
n
a
1
r
n-1
a
1
r
n+1
a
1
r
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Question # 3
For any set B, BUB' is
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Is set B
Set B'
Universal set
None of these
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Question # 4
The set of first elements of the ordered pairs in a relation is called its
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domain
range
relation
function
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Question # 5
If Projvu = Projuv, then
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Uand vare parallel
|u|=|v|
Uandvre perpendicular
One ofuorv
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Question # 6
x = secθ,y = tanθ are the parametric equations of
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Circle
Hyperbola
Ellipse
parabola
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Question # 7
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Question # 8
The set {0,-1} hold closure property under
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Addition
Both a & c
Multiplication
None of these
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Question # 9
A box contains 10 red 30 white and 20 black marbles When a marble is drawn at random the probability that it is either red or white is
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1/6
1/3
1/2
2/3
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Question # 10
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Question # 11
The second degree equation 2x2 -xy+ 5x -2y +2 =0 represents
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Circle
Hyperbola
Ellipse
Pair of straight lines
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Question # 12
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2
4
3
16
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Question # 13
Which of the following is a vector
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length
momentum
volume
speed
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Question # 14
The range of the principal sine function is
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Question # 15
the latus rectum of the parabola x
3
= -4ay is:
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x = a
y = -a
x = -a
y = 0
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Question # 16
A man of height 6 ft observes the top of a tower and the foot of the tower at angles of 45° and 30° of elevation and depression respectively. The height of the tower is
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Question # 17
Two matrices A and B are conformable for the product AB if
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Both A and B are square
Both A and B are symmetric
Number of rows of A = number of columns of B
Number of columns of A = number of rows of B
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Question # 18
An improper rational fraction can be reduced by division to a
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Proper fraction
Polynomial
mixed form
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Question # 19
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Question # 20
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2x
3x
2
1
0
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Question # 21
There is no integer n for which 3
n
is
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Odd
even
Natural
Prime
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Question # 22
There are 16 point in a plane, in which 6 are collinear. how many lines can be drawn by joining these points?
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10
66
71
106
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Question # 23
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100
99
0
none of these
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Question # 24
If the radius of a circle is increased by 1 then area of circle will be
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π r2
π(r+1)2
π r2 +1
2π (r+1)
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Question # 25
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Question # 26
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Natural numbers
Whole numbers
Integers
Rational numbers
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Question # 27
tan(3π/2 +θ)=______;
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tanθ
cotθ
-tanθ
-cotθ
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Question # 28
Circumcentre of the triangle, whose vertices are (0, 0), (6, 0) and (0, 4) is
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(2, 0)
(3, 0)
(0, 3)
(3, 2)
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Question # 29
3/4 is ______
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An odd number
An even number
A natural number
A rational number
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Question # 30
tan
θ
/2
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Question # 31
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f(x) = x
2
f(x
2
) = x
f(x) = x
none of these
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