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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
The law of sines can be used to solve
Choose an answer
Right angle triangle
Isosceles triangle
oblique triangle
haxagon
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Question # 2
Riaz, Saba. Maria, Shehzad are to give speeches in a class. The teacher can arrange the order of their presentation in
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4 ways
12 ways
256 ways
24 ways
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Question # 3
Derivative of a w.r.t x is
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0
1
x
x
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Question # 4
The order of the matrix A is 3 x 2 and that of B is 2 x 3. The order of the matrix BA is
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3 x 3
3 x 2
2 x 5
5 x 2
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Question # 5
The solution set of the equation tan
-1
x - cot
-1
x = cos
-1
(2 - x) is
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[0, 1]
[-1, 1]
[1, 3]
None of these
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Question # 6
The centre of the conic x2 +16x +4y2 -16y +76 =0 is
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(0,10)
(-8,4)
(-8,-2)
(1,1)
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Question # 7
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Question # 8
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Even
Odd
Prime
None of these
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Question # 9
The tangents drawn from the point P to a circle are real and coincident if
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P is on the circle
P is inside the circle
P is outside the circle
none of these
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Question # 10
The distance between the points (0 , 0) and (2, 1) is
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5
0
3
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Question # 11
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Question # 12
The set {Z\{0}} is group w.r.t
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Addition
Multiplication
Division
Subtraction
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Question # 13
The value of cos(cos-1 1/2) is
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1/2
√3/2
-1/2
1/√2
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Question # 14
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Question # 15
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Question # 16
A relation in which the equality is true for all values of the unknown is called ______
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An identity
An equation
A polynomial
None of these
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Question # 17
The longer side of a parallelogram is 10 cm and the shorter is 6 cm. If the longer diagonal makes an angles 30° with the longer side, the length of the longer diagonal is
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Question # 18
Which of the following is the subset of all sets
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Φ
{1,2,3}
{Φ}
{0}
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Question # 19
By expressing cos 113° in terms of trigonometrical ratios, answer will be
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− cos 76° = -0.7093
− cos 65° = -0.4258
− cos 67° = -0.3907
− cos 62° = -0.8520
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Question # 20
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Question # 21
The domain of the function y = sin x , is
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-π/2≤ x≤ π/2
π/ ≤ x≤ π
-2π ≤ x≤ 2π
-1 ≤ x≤ 1
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Question # 22
The range of y=x2 + 1 is the set of non-negative real numbers except
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0≤ y < 1
0 < y < 1
0≤ y≤ 1
0 < y≤1
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Question # 23
If the domain of sequence is finite set then the sequence is called
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geometric sequence
infinite sequence
finite sequence
arithmetic sequence
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Question # 24
For all points (x,y) in first quadrant
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x > 0 , y < 0
x > 0 , y > 0
x < 0 , y < 0
x < 0 , y > 0
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Question # 25
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A rational number
A irrational number
An even integer
A factor of 36
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Question # 26
A function in which the variable appears as exponent is called:
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An identity function
A logarithmic function
an exponential function
A rational function
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Question # 27
Empty set is
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Not the member of real numbers
Infinite set
Finite set
Not subset of every set
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Question # 28
The angle between the vectors
u
=2
i
-
i
+
k
and
v
= -
i
+
i
is:
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3π/2
2π/3
5π/6
π/3
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Question # 29
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Question # 30
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f(x) = x
2
f(x
2
) = x
f(x) = x
none of these
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Question # 31
x = ________ is in the solution of 2x - 3 < 0
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2
-2
3
4
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