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Online Tests
ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
Which of the following sets is finite
Choose an answer
The set of natural numbers between 3 and 10
The set of rational numbers between 3 and 10
The set of real numbers between 0 and 1
The set of rational numbers between 0 and 1
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Question # 2
The slope of the tangent of the circle x
3
+ y
3
=25 at (4,3) is:
Choose an answer
-4/5
4/3
-25/4
25/3
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Question # 3
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Question # 4
The point ________ is in the solution of the inequality 2x - 3y < 4
Choose an answer
(0, -2)
(1, -3)
(2, 2)
(3, 0)
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Question # 5
If the cutting plane is parallel to the axis of the cone and intersects both of its nappes, then the curve of intersection is:
Choose an answer
an ellipse
a circle
a parabols
a hyperbola
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Question # 6
Group of none-singular matrices under multiplication is
Choose an answer
None-Abelian group
Semi group
Abelian group
None of these
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Question # 7
If b
1
, b
2
, b
3
, ... are in G.P. with first term unity and common ratio r, then the minimum value of b
1
- b
3
+ b
5
is equal to
Choose an answer
3/4
1/4
1
None of these
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Question # 8
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Question # 9
Choose an answer
0
-1
1
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Question # 10
Water seeps out of a conical filter at eh constant rate of 5 cm/sec. the height of the cone of water in the filter is 15 cm. the height of the filter is 20 cm and radius of the base is 10 cm. the rate at which the height of the water decreases is
Choose an answer
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Question # 11
I f a =5i + 2j, then|a| =
Choose an answer
√13
√7
1/√13
√29
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Question # 12
Choose an answer
[0,1[
[0, 1]
]0, 1[
None of these
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Question # 13
The interval in which f(x)=x3-6x2+9x is increasing
Choose an answer
1<x<3
x<1 and x>3
X ≥1 and x ≤ 3
-∞ < x < ∞
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Question # 14
Choose an answer
-x
Infinite set
{-4, 4}
None of these
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Question # 15
4
1+x
+ 4
1-x
= 10 is called
Choose an answer
Reciprocal equation
Exponential equation
Radical equation
None of these
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Question # 16
Choose an answer
0
1
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Question # 17
The minimum value of the quadratic function f(x) = 5 x 2-11,is
Choose an answer
7
-7
6
-11
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Question # 18
If cos 20°=K and cos x=2 k
2
-1, then the possible values of x between 0° and 360° are
Choose an answer
140°
50° and 140°
50° and 130°
40° and 320°
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Question # 19
The set (Z,+) forms a group
Choose an answer
Forms a group w.r.t addition
Non commutative group w.r.t multiplication
Forms a group w.r.t multiplication
Doesn't form a group
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Question # 20
The value of x, and y, when (x + iy)
2
= 5 + 4i
Choose an answer
X = 2, y = -1
X = -2, y=1
X = 2, y = -1
X = 2, y = 2
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Question # 21
Choose an answer
Principle of equality of fractions
Rule for product of fractions
Golden rule of fractions
Rule for quotient of fractions
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Question # 22
Choose an answer
all
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Question # 23
The distance of the point (2,3) from origin is
Choose an answer
5
2
3
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Question # 24
Choose an answer
0
1
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Question # 25
The period of sin x/2 = Cos x/3 is
Choose an answer
2p
12p
13p
7p
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Question # 26
24 can be written as a product of
Choose an answer
Odd factors
Even factors
Whole factors
Prime factors
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Question # 27
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Question # 28
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Question # 29
Choose an answer
3
1
4
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Question # 30
The zero vector is
Choose an answer
[0, 0, 0]
[1, 1, 1]
[0, 1, 0]
[0, 0, 1]
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Question # 31
a >b ⇒a +c >b +c is known as
Choose an answer
Trichotomy property
Additive property of inequality
Transitive property
Multiplicative property
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