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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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A positive integer
A negative integer
A natural number
An irrational number
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Question # 2
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A variable
A constant
0
None of these
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Question # 3
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0
1
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Question # 4
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Principle of equality of fractions
Rule for product of fraction
Rule for quotient of fraction
Golden rule of fractions
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Question # 5
The proposition S(k+1) is true when ______ is true∀K∈N
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S(n)
S(k)
S(1)
S(k-1)
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Question # 6
If f (x) is defined and continuous then f (x) is always
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Rational function
Trigonometric function
Logarithmic function
All are correct
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Question # 7
The point which divides the line segment joining the points (a, b) and (c, d) in the ratio 2 : 3 internally is
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none of these
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Question # 8
If p and q are two statements then their conjunction is denoted by
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Question # 9
If Z = (1,2), then Z
-1
=?
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(0.2, 0.4)
(-0.2 ,0.4)
(0.2,-0.4)
(-0.2,-0.4)
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Question # 10
p, q, r and s are integers. If the A.M. of the roots of x2- px + q2= 0 and G.M. of the roots of x2- rx + s2= 0 are equal, then
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q is an odd integer
r is an even integer
p is an even integer
s is an odd integer
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Question # 11
Let A is a 3 x 3 matrix and B is its adjoint matrix. If |B| = 64, then |A| =
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Question # 12
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Question # 13
The corner point of the boundary lines, x- 2x
x+2y=10 is:
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(8,1)
(1,8)
(6,10)
(3,5)
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Question # 14
Let A and B be two sets. If every element of A is also an element of B then
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Question # 15
π is ______
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A complex number
A rational number
A natural number
An irrational number
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Question # 16
The condition for ax2 + bx c to be expressed as the product of linear polynomials is
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b4 - 4ac =0
b4- 4ac ≥0
b4- 4ac <0
b4= 4ac
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Question # 17
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Question # 18
For all points (x,y) in second 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 # 19
If A∩B=B, then n(A∩B) is equal to
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n(a)
n(a)+n(c)
n(c)
None of these
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Question # 20
∀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 # 21
The smallest positive root of the equation tan x - x = 0 lies on
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Question # 22
Cos 0° = ______
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-1
0
1
Undefined
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Question # 23
∀a,b,c∈R, a >b ∧ b>c ⇒ a >c is
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Trichotomy property
Transitive property
Symmetric property
Additive property
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Question # 24
If uv= Projuv then
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Uandvare parallel
vis a unit vector
Uis a unit vector
Both b and c
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Question # 25
The set X is
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Proper Subset of X
Not A subset of X
Improper Subset of X
None of these
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Question # 26
The set Q
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Forms a group under addition
Does not form a group
Contains no additive indentity
Contains no additive inverse
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Question # 27
The cube roots of 8 are
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Question # 28
The range of inequality x + 2 > 4 is
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(-1, 2)
(-2, 2)
(1,
∞
)
None
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Question # 29
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none of these
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Question # 30
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6
360
120
24
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Question # 31
A point (x,y) which satisfy a linear inequality in two variables form its
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Solution
Domain
Range
None
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