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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
The probability to get an odd number in a dice thrown once is
Choose an answer
6
1
1/6
1/2
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Question # 2
If the intersecting plane is parallel to a generator of the cone, but intersects its one nappe only, the curve obtained is
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an ellipse
a hyperbola
a circle
a parabola
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Question # 3
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1/3
1
3
None of these
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Question # 4
The fixed point from which all the points of a circle are equidistant is called the
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chord of the circle
centre of the circle
diameter of the circle
radius of the circle
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Question # 5
The order of the matrix A is 3 x 2 and that of B is 2 x 3. The order of the matrix BA is
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3 x 3
3 x 2
2 x 5
5 x 2
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Question # 6
A bag contains 5 white, 7 red and 5 black balls. If four balls are drawn one by one with replacement, the probability that none is white is
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(11/16)
2
(5/16)
2
(11/16)
4
(5/16)
4
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Question # 7
In the interval 0≤ x ≤ π, the sine is
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Not a function
Not defined
Infinity
Not one-to-one function
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Question # 8
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Question # 9
If|a| =|b| = |a+b|=1, then|a-b| is equal to:
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1
√3
√2
7
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Question # 10
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Even
Odd
Prime
None of these
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Question # 11
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Principle of equality of fractions
Rule for product of fraction
Rule for quotient of fraction
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Question # 12
The set { 1 , -1} is closed w.r.t.
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Addition
Multiplications
Subtraction
None of these
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Question # 13
In R the number of identity element w.r.t '+' is
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One
Two
Three
Four
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Question # 14
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Null matrix
Triangular matrix
Unit matrix
Rectangular matrix
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Question # 15
Two cards are drawn at random from a well shuffled pack of cards. The probability that at least one of them is a face card is
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3 / 17
5 / 17
7 / 17
9 / 17
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Question # 16
What is the circular measure of the angles between the hands of which at 4 o clock
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π/6
3π/2
π/4
2π/3
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Question # 17
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x
y
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Question # 18
What is the conjugate of -7 -2i ?
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-7 + 2i
7 +2i
7 -2i
√53
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Question # 19
The set of all points in the plane that are equally distant from a fixed point to called a
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Parabola
ellipse
Hyperbola
Circle
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Question # 20
The additive identity of real number is
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1
2
1/2
0
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Question # 21
If the roots of ax
2
+ b = 0 are real and distinct then
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ab > 0
a = 0
ab < 0
a > 0, b > 0
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Question # 22
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A(
α
) - A(
β
)
A(
α
) + A(
β
)
A(
α
-
β
)
A(
α
+
β
)
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Question # 23
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Question # 24
If z
1
=√-36 ,z
2
=√-25,z3 =√-16 then
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15
15i
-15i
-15
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Question # 25
How many different 5-digit even numbers are possible form digit 1,2,4,6,8
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4 : 4!
4!
5!
4!+4!
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Question # 26
If A and B are two sets then any subset R of B 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
We also the system of non-homogeneous linear equations by
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a and b
b and c
c and a
a, b and c
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Question # 28
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3 sec
2
x
3 sec
2
3x
sec
2
3x
sec
2
x
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Question # 29
If f (x) = |x|, then (0,0) is the
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Critical point
Inflection point
Stationary point
None of these
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Question # 30
If a, b, c are in A.P., then 3
a
, 3
b
, 3
c
are in
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A.P.
G.P.
H.P.
None of these
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Question # 31
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2 x 2
2 x 3
3 x 2
3 x 3
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