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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
Trival solution of homogeneous linear equation is
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(0, 0, 0)
(1, 2, 3)
(1, 3, 5)
a, b and c
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Question # 2
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Question # 3
The value of sin
2
20° + sin
2
70° is equal to
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1
2
-1
1/2
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Question # 4
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Question # 5
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Rational fraction
Proper fraction
Improper rational fraction
None of these
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Question # 6
The axis of the parabola y
2
= 4ax is
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X = 0
Y = 0
X = y
X = -y
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Question # 7
i
2
=
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1
2
-1
0
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Question # 8
Distance between A(3, 8), B(5, 6) is
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Question # 9
If x-2 and x-1 both are factors of x
3
-3x
3
+2x-4p, then P must equal to
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1
2
0
-2
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Question # 10
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Question # 11
Circle x
2
+ y
2
- 2y -y = 0 and x
2
+ y
2
- 8y -4 =0:
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Interesect
touch externally
touch internally
do not touch
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Question # 12
Derivative of strictly increasing function is always
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Zero
Positive
Negative
Both (A) and (B)
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Question # 13
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none of these
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Question # 14
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2x + 2y
4 - x
2
-x/y
x/y
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Question # 15
If you are looking a high point from the ground, then the angle formed is
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Angle of elevation
Angle of depression
Right angle
Horizon
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Question # 16
Tan
-1
1/x = ______
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sin x
sec
-1
X
cot
-1
X
None of these
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Question # 17
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30°
45°
60°
90°
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Question # 18
The point ________ is in the solution of the inequality 2x - 3y < 4
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(0, -2)
(1, -3)
(2, 2)
(3, 0)
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Question # 19
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I3
rI3
r
none
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Question # 20
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Question # 21
The sum of coefficients in the binomial expansion equals to
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2
2
n+1
2
n-1
2
n
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Question # 22
Which of the vectors have opposite direction?
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Question # 23
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Question # 24
The exact degree value of the function sin-1( -√3/2) is
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70
ο
50
ο
90
ο
60
ο
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Question # 25
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Question # 26
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4
6
8
10
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Question # 27
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[0, 0, 0]
[1, 0, 0]
[0, 1, 0]
[0, 0, 1]
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Question # 28
Number of combination of zero or more things out of n different things
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nPn
nPr
nCr
2n
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Question # 29
The vertex of the graph of the quadratic function f(x) =-x2+6x+1,is
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(-3,10)
(-3,-10)
(3,10)
(3,-10)
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Question # 30
The distance of the plane 2x - 3y + 6z + 14 = 0 from the origin is
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14
2
-2
11
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Question # 31
For the equation |x
2
| + |x| -6 =0, the roots are
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One and only one real number
Real with sum one
Real with sum zero
Real with product zero
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