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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
3x + 4 < 0 is
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inequality
equation
identity
not inequality
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Question # 2
The vector i = [1,0] is called unit vector along:
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x-axis
y - axis
z- axis
Botha a and y-axis
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Question # 3
If the intersection of two sets is non-empty, but either is a subset of other are called
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Disjoint sets
Over lapping
Equal sets
None of these
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Question # 4
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perpendicular vectors
concurrent vectors
parallel vectors
none of these
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Question # 5
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-1
0
1
Undefined
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Question # 6
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1
1/2
0
None
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Question # 7
The set R is ........w.r.t subtraction
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Not a group
A group
No conclusion drawn
Non commutative group
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Question # 8
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0
1
-1
2
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Question # 9
The n numbers A
1
,A
2
,A
3
,.....A
n
are called an arithmetic means between a and b if a.A
1
,A
2
,A
3
.....A
n
, b is ______
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An arithmetic series
An arithmetic sequence
A geometric sequence
A harmonic sequence
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Question # 10
What is range of the function g (x) =|x-3|?
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[0 ,∞ )
(0 ,∞)
(-∞ ,3]
[0,∞)
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Question # 11
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3 sec
2
x
3 sec
2
3x
sec
2
3x
sec
2
x
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Question # 12
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Question # 13
Domain of cot
θ
is
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Question # 14
Roots of the equation x
2
- 7x + 10 = 0 are
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{2, 5}
{-2, 5}
{2,5}
{-2,-5}
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Question # 15
An integer is chosen at random from the number ranging from 1 to 50. the probability that the integer chosen is a multiple of 2 or 3 or 10 is
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3 / 10
5 / 10
7 / 10
9 / 10
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Question # 16
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Question # 17
The solution of differential equation:
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dy/dx+y/x = x
2
is :
4xy = x
4
+ c
4x = x
4
= c
4 y = x
4
+ c
4x=4x
3
+ c
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Question # 18
If n∈Z+ then(a+x)n is a/an
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Finite series
Convergent series
Infinite series
Divergent series
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Question # 19
Period of sec x is ______
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Question # 20
What is the period of cos 6x =?
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π/2
π/3
π/4
π
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Question # 21
the largest degree of the terms in the polynomials is called
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terms of the polynomial
degree of a polynomial
co-efficient
monomial
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Question # 22
Each complex cube root of unity is square of
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itself
1
-1
the other
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Question # 23
The coefficient of the second term of (a+b)
4
is
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1
9
3
5
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Question # 24
A square matrix all of whose elements except the main diagonal are zeros is called a
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Null matrix
Singular matrix
Symmetric matrix
Diagonal matrix
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Question # 25
Write the first four terms of the sequence if a
n
= (-1)
n
n
2
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-1, 4, -9, 16
1, -4, 9, 16
1, 4, 9, 16
None of these
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Question # 26
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 # 27
The parabola y2 + 2y + x = 0 lie in _____ quadrant.
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First
Second
Third
Fourth
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Question # 28
Associative law of multiplication
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ab = ba
a(bc) = (ab) c
a(b+c) = ab + ac
(a + b)c = ac + bc
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Question # 29
If in a set of real no a is additive identity then
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a+a = 2a
a+a = 1
a+a = 0
None of these
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Question # 30
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5 / 12
3 / 8
5 / 8
7 / 4
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Question # 31
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