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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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Symmetric
Skew-symmetric
Hermitian
Skew hermitian
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Question # 2
For Cosine Rule of any triangle ABC, b
2
is equal to
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a
2
- c
2
+ 2ab cos A
a
3
+ c
3
- 3ab cos A
a
2
+ c
2
- 2ac cos B
a
2
- c
2
4bc cos A
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Question # 3
The parametric equations of a circle are
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Question # 4
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- cos x
sin x
- sin x
sec x
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Question # 5
If the roots of ax
2
+ bx + c =0 are equal in magnitude but opposite in sign, then
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a = 0
b = 0
c = 0
None of these
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Question # 6
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x
3
3x
2
3x
3
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Question # 7
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 # 8
One degree is denoted by
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1
0
1'
1"
1 rad
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Question # 9
Every prime number is also
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Rational number
Even number
Irrational number
Multiple of two numbers
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Question # 10
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Question # 11
The transpose of a column matrix is a ______
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Zero matrix
Diagonal matrix
Column matrix
Row matrix
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Question # 12
The distance between the points A(-8,3) and B(2,-1) is
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116
none of these
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Question # 13
The coefficient of the third term of (8a-b)
1/3
, after simplification is
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-228
1/288
1/220
-1/177
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Question # 14
In one hour, the hour hand of a clock turns through
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Question # 15
The set {{a,b}} is
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Infinite set
Singleton set
Two points set
None
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Question # 16
In R the right cancellation property w.r.t. addition is
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Question # 17
If a statement S(n) is true for n = 1 and the truth of S(n) for n = k implies the truth of S(n) for = k + 1, then S(n) is true for all
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Real numbers n
Integers n
Positive integers n
None of these
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Question # 18
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Question # 19
5x
3
+ 3x - is a ______
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Polynomial of degree 3
Polynomial of degree 2
Polynomial of degree 1
Polynomial of degree 0
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Question # 20
System of linear equation is inconsistent if
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System has no solution
System has one solution
System has two solution
None of above
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Question # 21
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Scalar matrix
Identity matrix
Null matrix
Symmetric matrix
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Question # 22
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cos 2x + c
- cos 2x + c
tan 2x + c
cot 2x + c
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Question # 23
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Question # 24
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Question # 25
If x is an image of y under the function f. This can be written as
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y = f(x)
f(x) = 0
x = f(y)
f(y) =0
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Question # 26
What is the period of sin 2x/3 cos 4x=?
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π
2π
π/2
π/3
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Question # 27
The set {-1, 1} is closed under the binary operation of
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Addition
Multiplication
Subtraction
Division
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Question # 28
The parametric equation of a curve are x = t
2
, y = t
3
then
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Question # 29
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Question # 30
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Question # 31
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-1
0
1
undefined
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