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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
-2, 1, 4, 7,.... is ______
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Harmonic sequence
Arithmetic sequence
Geometric sequence
Arithmetic series
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Question # 2
The matrix A = [aij]mxn with m≠n is
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Rectangular
Symmetric
Square
None
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Question # 3
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z is purely imaginary
a is any complex number
z is real
None of these
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Question # 4
The function whose range consists of just one element is called
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One-One Function
Identity Function
Onto Function
Constant Function
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Question # 5
A combination lock on a suitcase has 3 wheels each labeled with nine digits from 1 to 9. If an opening combination is a particular sequence of three digits with no repeats, the probability of a person guessing the right combination is
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1 / 500
1 / 504
1 / 252
1 / 250
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Question # 6
If a polynomial p(x) is divided by x-c, then the remainder is
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p(x)
x-c
c
P(c)
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Question # 7
Two circles x2 +y2 +8x -9= 0 and x2+y2+6y +k =0 touchinternallyif the value of k is
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k = 9
k = ±9
k=-9
k=11
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Question # 8
(a
-1
)
-1
=
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a
-1
a
-a
None of above
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Question # 9
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Question # 10
If A is a subset of B and B contains at least one element which is not an element of A, then A is said to be
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Improper subset of B
Super set of B
Proper subset of B
None of these
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Question # 11
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Imaginary
Rational
Irrational
Real numbers
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Question # 12
If
α
,
β
are the roots of ax
2
+ bx + c = 0 and
α
+ h,
β
+ h are the roots of px
2
+ qx + r=0, then h =
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Question # 13
x
2
+ x - 6 = 0 is
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An equation
An identity
A polynomial
None of these
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Question # 14
The first three terms in the expansion of (1 - x)
-3
are
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1 + 3x + 6x
2
1 - 3x + 6x
2
-3 - 3x - 6x
2
1 - 3x - 6x
2
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Question # 15
Every identity matrix is
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Row-vector
Scalar
Column-vector
All
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Question # 16
The direction cosines of a line equally inclined with co-ordinate axes are
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Question # 17
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2
2
- n - 1
1 - 2
-n
n + 2
-n
-1
2
n
- 1
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Question # 18
i
is equal
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(1 , 0)
(0 , 1)
(1 , 1)
(0 , 0)
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Question # 19
The distance of the point (2,3) from origin is
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5
2
3
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Question # 20
Gooch crucible is made of :
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Brass.
Porcelain.
Bronze.
Gold.
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Question # 21
The set of natural no. is closed under
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multiplication
subtraction
difference
division
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Question # 22
Every recurring decimal represents
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A natural number
A rational number
An irrational number
A whole number
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Question # 23
A non-terminating, non-recurring decimal represent
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A natural number
A rational number
An irrational number
A prime number
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Question # 24
The square root of 2i - 20i is
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±(5 - 2i)
±(5+ 2i)
(5 - 2i)
None of these
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Question # 25
If either A = 0 or B =0,then Ax2 +By2 +2Gx +2Fy +c =0 represents a
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Circle
Hyperbola
Ellipse
Parabola
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Question # 26
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Question # 27
The maximum value of 12 sin
θ
-9 sin
2
θ
is x
Choose an answer
3
4
5
None of these
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Question # 28
If A and B are two matrices such that AB = B and BA =A, then A
2
+ B
2
=
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2 AB
2 BA
A + B
AB
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Question # 29
Let A be a square matrix. Then, 1/2 (A-A') is
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Skew-symmetric
Symmetric
Null
None of the above
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Question # 30
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 # 31
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