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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
Choose an answer
I and
I
I quadrants
I
I and
I
I
I quadrants
I
I
I and
I
V
quadrants
none of these
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Question # 2
The maximum value of Z = 3x+ 4y subjected to the constrains x+ y≤ 40,x+ 2y≤ 60, x≥ 0 and y≥ 0 is
Choose an answer
120
100
140
160
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Question # 3
The horizontal distance between the two towers is 60 m. the angular elevation of the top of the taller tower as seen from the top of the shorter one is 30°. If the height of the taller tower is 150 m, the height of the shorter one is
Choose an answer
116 m
200 m
216 m
None of these
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Question # 4
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Question # 5
The equation x2+ y2- 8x+ 6y+ 25= 0 represents
Choose an answer
A circle
A pair of straight lines
A point
None of these
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Question # 6
If d
1
is the distance between (0,0) and (1,2) and d
2
is the distance between (0,0) and (2,1) then
Choose an answer
d
1
= d
2
d
1
<d
2
d
1>
d
2
none of these
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Question # 7
Ifα,β are non-real roots of ax2 + bx +c =0 (a,b,c∈ Q),then
Choose an answer
α = β
αβ = 1
α = β
α = 1
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Question # 8
Choose an answer
all are correct
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Question # 9
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Question # 10
One second is denoted by
Choose an answer
1
0
1'
1"
1 rad
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Question # 11
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Question # 12
Cofactor of an element a
ij
is defined by
Choose an answer
(-1)
i+j
|A|
(-1)
i+j
M
ij
(-1)
i+j
M
-1
None of these
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Question # 13
n different objects can be arranged taken all at a time in ______
Choose an answer
(n + 1)! ways
(n - 1)! ways
n! ways
n ways
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Question # 14
Choose an answer
a
2a
3a
4a
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Question # 15
Three right angles is the angle of measure
Choose an answer
270°
180°
90°
270'
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Question # 16
The unit vector along z-axis is
Choose an answer
none of these
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Question # 17
The number of subsets of B = {1,2,3,4,5}
Choose an answer
10
32
16
5
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Question # 18
The perimeter of a sector of a central angle of measure 1 radian out off an are of length 35cm is
Choose an answer
35 cm
70 cm
140 cm
105 cm
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Question # 19
Which is an explicit function
Choose an answer
y = x
2
+ 2x - 1
x
2
+ xy + y
2
= 2
x
2
+ y
2
= xy + 2
All are
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Question # 20
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Question # 21
If y=f(x) is a function then x is called
Choose an answer
dependent variable
independent variable
constant
none of these
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Question # 22
If C={p/p < 18, p is a prime number}, then C =
Choose an answer
{2,3,4,.........17}
{2,4,6,8................16}
{1,3,5,7,9,11,13,15,17}
{3,6,9,12,15}
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Question # 23
A point where two of its boundary lines intersect is called
Choose an answer
Corner point
Feasible point
Vertex
Feasible solution
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Question # 24
A circle passing through the vertices of any triangle is called ______
Choose an answer
In circle
Circum circle
Escribed circle
None of these
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Question # 25
The central angle of an arc of a circle whose length is equal to the radius of the circle is called one
Choose an answer
Degree
Second
Minute
Radian
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Question # 26
Number of permutations of n distinct objects taken r(<n - 3) at a time which exclude 3(<n) particular objects is
Choose an answer
3! P(n, r - 3)
P(n, 3) P(n, r - 3)
P(r, r)P(n, r - 3)
P(n - 3, r)
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Question # 27
Choose an answer
0
1
undefined
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Question # 28
Choose an answer
4
3
2
1
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Question # 29
Range of cos x is ______
Choose an answer
[-1, 1]
R
Negative real numbers
R - { x | - 1 < x < 1}
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Question # 30
cos(a +β)-cos(a-β) = _______;
Choose an answer
2cosa cosβ
2sina cosβ
-25 in a cosβ
-2sin a sinβ
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Question # 31
The square matrix A is skew Hermitian when (A)'=
Choose an answer
A
A'
-A
A
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