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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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Question # 2
When a selection of object is made without paying regard to the order of selection, it is called
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Sequence
Series
Combination
Permutation
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Question # 3
The total cost of 2 apples and 3 oranges is $1.70, which of the following is true
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The cost of one apple
The cost of one orange
Both have equal cost per item
Cost of each single item can not be determined
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Question # 4
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Rational
Irrational
Natural
Odd
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Question # 5
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0
1
-1
None of these
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Question # 6
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Question # 7
202.04 is an example of
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Recurring decimals
Non-recurring decimals
Terminating decimals
None of these
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Question # 8
The graph of a linear function is
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a circle
triangle
a straight line
none of these
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Question # 9
A tower subtends an angle
α
at a point on the same level as the root of the tower and at a second point, b meters above the first, the angle of depression of the foot of the tower is
β
. The height of the tower is
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b cot
α
tan
β
b tan
α
tan
β
b tan
α
cot
β
None of these
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Question # 10
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Question # 11
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One-one but not onto
One-one and onto
Onto but not one-one
Neither one-one nor onto
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Question # 12
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Question # 13
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Question # 14
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A = x, B = 1
A = 0, B = 2
A = -1, B = 1
A = x-1, B = x+1
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Question # 15
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Question # 16
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Question # 17
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1
-i
i
0
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Question # 18
The numbers of G
1
, G
2
, G
3
...... G
n
are called n geometric means between a and b is a, G
1
, G
2,
G
3
, ... G
n
, b are in
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H.P.
A.P.
G.P.
None of these
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Question # 19
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Question # 20
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 # 21
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 # 22
A vertical pole is 8m high and the length of its shadow is 6m. The angle of elevation of the sun of the moment is
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57𝜊
-48𝜊
27𝜊
53𝜊
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Question # 23
The set of all positive even integers is
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Not a group
A group w.r.t. subtraction
A group w.r.t. division
A group w.r.t. multiplication
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Question # 24
cos (
α
-
β
) = cos
α
cos
β
+ sin
α
sin
β
is true for all
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α
>
β
> 0
α
>
β
β
>
α
None of these
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Question # 25
The periods of the function f(x) = x[x] is
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1
2
Non periodic
None of these
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Question # 26
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None of these
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Question # 27
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0
-1
1
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Question # 28
sin(180° -
θ)=
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cos
θ
-cos
θ
Tan
θ
Sin
θ
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Question # 29
If the roots of x
2
+ ax + b = 0 are non-real, then for all real x, x
2
+ ax + b is
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Negative
Positive
Zero
Nothing can be said
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Question # 30
The law of sines can be used to solve
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Right angle triangle
Isosceles triangle
oblique triangle
haxagon
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Question # 31
The conjugate of √5
i
is
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√5
-√5 i
i
5i
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