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Online Tests
Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
(2, 1) is in the solution of the inequality
Choose an answer
2x + y
>
7
x - y > 2
3x + 5y < 6
2x + y < 6
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Question # 2
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Symmetric property
Cancellation property w.r.t. multiplication
Reflexive property
Transitive property
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Question # 3
The equation x
2
+ y
2
= 0 represents
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A circle
A degenerate circle
An empty set
A st. line
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Question # 4
If nis positive integers, then 2
n
>2n+1, only when
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n≤ 3
n≥ 3
n≤ 2
n≤ 1
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Question # 5
probability of a certain event is
Choose an answer
0
-1
1
∞
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Question # 6
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Proper fraction
Improper fraction
Rational fraction
None of these
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Question # 7
The set { {a, b} } is
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Infinite set
Singleton set
Two points set
Empty set
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Question # 8
(a
-1
)
-1
=
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a
-1
a
-a
None of above
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Question # 9
If a statement S(n) is true for n = i where i is some natural number and the truth of S(n) for n = k > i implies the truth of S(n) for n = k +1 then S(n) is true for all positive integers
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Question # 10
If a polynomial P(x) is divided by x - a, then the remainder is
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P(o)
P(-a)
P(a)
None of these
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Question # 11
In a triangle if a > 45°,β > 30° then y cannot be
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90°
100°
10°
120°
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Question # 12
Choose an answer
all are correct
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Question # 13
Projection of vector u along v is
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|v| cosθ
|u| cosθ
|v| sinθ
|u| sinθ
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Question # 14
Cos 0° = ______
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-1
0
1
Undefined
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Question # 15
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none of these
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Question # 16
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Question # 17
a chord passing through the focus of a parabola is called a:
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Focal chord
Latus rectum
Tangent
Directrix
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Question # 18
Sin 45° = ______
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Question # 19
f(x) = ax + b will be a constant function if
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a = 1 , b = 1
a = 1 , b = 0
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Question # 20
Φ
set is the ______ of all sets?
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Subset
Union
Universal
Intersection
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Question # 21
∫Sec
2
(ax + b) dx is equal to:
Choose an answer
tan
2
(ax + b)
1/a tan
2
(ax + b)
1/atan (ax +b)
tan (ax + b)
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Question # 22
An integral of 1/x dx is:
Choose an answer
1/x
2
1/-x
2
1/lnx
lnx
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Question # 23
The sum of the even coefficients in the expansion (1 + x)
n
is
Choose an answer
n
2
2
n-2
2
n-1
2
n
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Question # 24
The value of n, when
n
P
2
= 20 is
Choose an answer
3
4
6
5
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Question # 25
The points (5, -4, 2),(4, -3, 1),(7, -6, 4),(8, -7, 5) are vertices of a
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Square
Parallelogram
Rectangle
Rhombus
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Question # 26
How many 6-Digit number can be formed without repairing any digit from the digits 0,1,2,3,4,5
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720
600
120
6-5!
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Question # 27
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Question # 28
If A and B are two disjoint events then
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P(A∪B)=P(A)+P(B)
P(A∪B)=P(A)-P(A∪B)
P(A∪B)=P(A)or P(B)
None
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Question # 29
If x - 1 is a factor of x4 - 5x2 + 4 then other factor is
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(x + 2)2(x - 1)
(x + 2)(x - 1)2
(x+2)(x2- x- 2)
(x + 2)2(x - 1)2
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Question # 30
(2 + w) (2 + w
2
) = ______
Choose an answer
1
2
3
0
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Question # 31
The set { 1 , -1} is closed w.r.t.
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Addition
Multiplications
Subtraction
None of these
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