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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
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Question # 2
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Question # 3
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1
2
3
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Question # 4
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Parallel to the plane
At right angles to the plane
Lies in the plane
Meet the plane obliquely
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Question # 5
The number of ways of arranging the letter AAAAA BBB CCC D EE F in a row when no two C's are together is
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Question # 6
Sum of all the four forth roots of unity is
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1
-1
i
0
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Question # 7
The set of real numbers is a subset of
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The set of natural numbers
The set of rational numbers
The set of integers
The set of complex numbers
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Question # 8
The tangent to the parabola y2 =4ax and perpendicular line from the focus on it meet
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x =0
y =0
x =-9
y = -a
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Question # 9
The interval in which f(x)=x3-6x2+9x is increasing
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1<x<3
x<1 and x>3
X ≥1 and x ≤ 3
-∞ < x < ∞
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Question # 10
x
3
+ 2x
2
- 3x + 5 is ______
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An equation
A polynomial
Proper rational fractions
Improper rational fractions
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Question # 11
When rational fraction is separated into partial fractions, the result is
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an identity
A fraction
A partial sum
Improper fraction
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Question # 12
The proposition S(n) for any n∈ N is only true if k∈ N and
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S(k +1) is true
S(1) is true and S(k+1) is true whenever S (k) is true
S(k+1) is true whenever S (k) is true
S(k) is true
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Question # 13
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The law of sines
The law of consines
The law of tangents
None of these
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Question # 14
Name the property used in 100 + 0 = 100
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Additive inverse
Multiplicative inverse
Additive identity
Multiplicative identity
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Question # 15
The central angle of an arc of a circle whose length is equal to the radius of the circle is called one
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Degree
Second
Minute
Radian
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Question # 16
If origin is the mid point of (a,3) and (5,b) then
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a = -5 , b = -3
a = 5 , b =3
a = -5 , b = 3
a = 5 , b = -3
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Question # 17
If the roots of ax2 + b =0 are real and distinct then
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ab > 0
a = 0
ab < 0
a > 0,b > 0
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Question # 18
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perpendicular vectors
concurrent vectors
parallel vectors
none of these
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Question # 19
If f(√x)=sin x , then f′(x) =______;
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2xcosx2
cosx2
cos√x
None of these
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Question # 20
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Question # 21
The value of x, and y, when (x + iy)
2
= 5 + 4i
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X = 2, y = 1
X = -2, y = 1
X = 2, y = -1
X = 2, y = 2
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Question # 22
The key for opening a door is in a bunch of 10 keys. A man attempts to open the door by trying the keys at random discarding the wrong key. The probability that the door is opened in the 5th trial is
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1 / 10
2 / 10
3 / 10
4 / 10
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Question # 23
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Question # 24
Φ set is the _______ of all sets
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Subset
Union
Universal
Intersection
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Question # 25
If the matrices A and B are conformable for multiplication then (AB)
t
= ______
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AB
A
t
B
t
B
t
A
t
A
t
B
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Question # 26
The function discontinuous at x = 0 is (1) tan x (II) cot x (III) sec x (iv)cosec x)
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I & III
I & IV
II & IV
II & III
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Question # 27
f(x) = 1 is
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identity function
constant function
linear function
quadratic function
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Question # 28
The unit vector along y-axis is
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none of these
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Question # 29
In quadratic equation y=ax
3
+bx+c, if b and c are both zero then the graph is
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Symmetric w.r.t.y-axis
Symmetric w.r.t.x-axis
Straight Line
Circle
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Question # 30
The period of sin x/2 = Cos x/3 is
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2p
12p
13p
7p
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Question # 31
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