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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
In set builder notation the set {0,1,2,........100} can be written as
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{x / xε B ∧ x ≤ 100}
{x / x ∈ W ∧ x < 101}
{x / x ∈ Z ∧ x < 101}
The set of first 100 whole numbers
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Question # 2
The value of k (k > 0) for which the equation x
2
+ kx + 64 = 0 and x
2
- 8x + k = 0 both will have real roots is
Choose an answer
8
-16
-64
16
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Question # 3
If ax
2
+ bx + x = 0 is satisfied by every value of x, then
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b = 0, c = 0
c = 0
b = 0
a = b = c = 0
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Question # 4
If the 4th term in the expansion of (px + x
-1
)
m
is 2.5 for all x
∈ R, then
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Question # 5
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Question # 6
The points A(3,1),B(-2,-3),C(2,2) are vertices of an (an)
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Right triangle
Equilateral triangle
Isosceles triangle
Scalene triangle
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Question # 7
Fundamental law is
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Question # 8
What is the probability of being born on Wednesday?
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1/7
1/2
1/3
1/8
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Question # 9
Circumcentre of the triangle, whose vertices are (0, 0), (6, 0) and (0, 4) is
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(2, 0)
(3, 0)
(0, 3)
(3, 2)
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Question # 10
A point of a solution region where two of its boundary lines intersect, is called
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Boundary
Inequality
Half plane
Vertex
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Question # 11
The graph of y < 2 is the
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Left half plane
upper half plane
Right half plane
Lower half plane
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Question # 12
sin(a-90°)=______;
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sina
cosa
-sinθ
-cosa
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Question # 13
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Question # 14
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Question # 15
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Question # 16
The set of positive integers, 0 and negative integers is known as the set of
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Natural numbers
Rational numbers
All integers
Irrational numbers
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Question # 17
If G is the centroid of the triangle, then GA +GB+GC=
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0
1
-1
3
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Question # 18
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Set of whole number
Rational Numbers
Complex numbers
Whole numbers
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Question # 19
When the angle between the ground and the sun is 30
𝜊
,flag pole costss a shadow of 40 mg long. the height of the top of the flag is
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25m
23m
12m
29m
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Question # 20
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Question # 21
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Question # 22
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square root function
identity function
linear function
quadratic function
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Question # 23
A square is inscribed in the circle x
2
+ y
2
- 2x + 4y + 3 =0. Its sides are parallel to the co-ordinate axes. Then one vertex of the square is
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Question # 24
PQ is a post of given height a, and AB is a tower at some distance;
α
and
β
are the angles of elevation of B, the top of the tower, at P and Q respectively. The height of the tower and its distance from the post are
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Question # 25
The set of the first elements of the orders pairs forming a relations is called its
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Relation in B
Range
Domain
Relation in A
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Question # 26
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Question # 27
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Question # 28
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n
C
r
n+1
C
r+1
n
C
r+1
None
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Question # 29
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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 # 30
The 7th term of (3
8
+ 6
4
x)
11/4
is
Choose an answer
-19217/3 x
6
189/2 6
4
x
2227/12 x
3
-19712/3 x
6
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Question # 31
i
is equal
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(1 , 0)
(0 , 1)
(1 , 1)
(0 , 0)
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