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ECAT Mathematics Online Test MCQs With Answers
Question # 1
(1,0) is in the solution of the inequality
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3x + 2y > 8
2x - 3y < 4
2x + 3y > 3
x - 2y < -5
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Question # 2
The point ________ is in the solution of the inequality 4x - 3y < 2
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(0,1)
(2,1)
(2,2)
(3,3)
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Question # 3
With usual notations b2 = a2 + c2 -2ac cos is called______;
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None of these
Law of sines
Law of consines
Law of tangents
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Question # 4
∀a,b,c∈R and c>0,then
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a>b ⇒ ac < bc
a>b ⇒ ac > bc
a<b ⇒ ac > bc
None of these
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Question # 5
f(x) = 2x
2
+ 3x + 5 is a
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trigonometric function
algebraic function
exponential function
logarithmic function
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Question # 6
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0
1
2
4
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Question # 7
(a
-1
)
-1
=
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a
-1
a
-a
None of above
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Question # 8
The set {1, -1, 1, -1}, form a group under
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Addition
Multiplication
Subtraction
None
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Question # 9
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a sec(ax + b) + c
- a sec(ax + b) + c
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Question # 10
∀x,y,z ∈ R and z 0,then
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x > y ⇒ xz > yz
x<y ⇒ xz < yz
x < y ⇒ xz > yz
None of these
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Question # 11
8 . 7 . 6. 5 in factorial form is
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Question # 12
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(2x4)
(2x7)
(2x3)
(7x2)
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Question # 13
The domain of y =√(x^2-9) is
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R
(0 , +∞)
(-∞ , -3 )∪ (3 , +∞)
(0 ,∞)
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Question # 14
The identity element with respect to subtraction is
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0
-1
0 and 1
None of thes
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Question # 15
IfΔABC is right, law of cosine reduce to
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Law of sine
Law of tangent
Phthogorous theorem
Hero's formula
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Question # 16
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π / 3
π / 4
π / 6
0
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Question # 17
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Question # 18
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0
1
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Question # 19
The equation of the sphere passing thro' (0, 0, 0), (a, 0, 0), (0, b, 0), (9, 0, c) is
Choose an answer
x
2
+ y
2
+ z
2
+ 2 ax +2 by + 2cz = 0
x
2
+ y
2
+ z
2
- 2ax - 2 by - 2cz = 0
x
2
+ y
2
+ z
2
- ax - by - cz = 0
x
2
+ y
2
+ z
2
+ ax + by + cz = 0
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Question # 20
If A = [a
ij
] is (m x n) matrix, then transpose of A is of the order
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m x m
m x n
n x n
n x m
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Question # 21
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Question # 22
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a-b=ab
ab=a
a+b=ab
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Question # 23
∫Sec
2
(ax + b) dx is equal to:
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tan
2
(ax + b)
1/a tan
2
(ax + b)
1/atan (ax +b)
tan (ax + b)
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Question # 24
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A natural number
A rational number
An irrational number
A whole number
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Question # 25
No term of a harmonic sequence can be
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0
1
2
3
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Question # 26
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Question # 27
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Question # 28
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P(A) + P(B)
P(A) - P(B)
P(A) . P(B)
P(A) / P(B)
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Question # 29
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Commutative law of multiplication
Closure law of multiplication
Associative law of multiplication
Multiplication identity
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Question # 30
Choose an answer
I3
rI3
r
none
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Question # 31
The zero vector is
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[0, 0, 0]
[1, 1, 1]
[0, 1, 0]
[0, 0, 1]
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