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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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Question # 2
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Question # 3
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a-b=ab
ab=a
a+b=ab
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Question # 4
The number of permutations of n objects of which there are n
1
like of one kind, n
2
like of the second kind and n
3
like objects of third kind are
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Question # 5
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5 / 12
3 / 8
5 / 8
7 / 4
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Question # 6
If ax
2
+ bx + x = 0 is satisfied by every value of x, then
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b = 0, c = 0
c = 0
b = 0
a = b = c = 0
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Question # 7
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 # 8
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Question # 9
The unit vector along z-axis is
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none of these
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Question # 10
The minimum value of the quadratic function f(x) = x2 +6x -2, is
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11
6
-11
13
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Question # 11
If sin
θ
and cos
θ
are the roots of the equation ax
2
- bx + c = 0, then a, b, c satisfy the relation
Choose an answer
b
2
- a
2
= 2ac
A
2
- b
2
= 2ac
A
2
+ b
2
= c
2
B
2
+ a
2
= 2ac
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Question # 12
P∉ A means
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P
is subset of A
P
is an element of A
P does not belongs to A
A does not element of
P
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Question # 13
If (1+x-2x
3
)
6
= 1+a
1
x + a
2
x
2
+ a
3
x
3
+ ..... the the value of a
2
+ a
4
+ a
6
+ .....+a
12
will be
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32
31
64
1024
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Question # 14
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x
y
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Question # 15
The proposition S(n) is true∀n∈N,S(k+1) true when ______is true
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S(1)
Both a & c
S(k)
None
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Question # 16
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4
3
2
1
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Question # 17
The real number system contains.
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Positive Numbers
Negative numbers
Zero
(option a, b and c)
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Question # 18
A ________ divides the plane into left and right half planes.
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Vertical line
Horizontal line
Non vertical line
Inequality
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Question # 19
if a
1
=3, d=7 and a
n
=59 , then the number of terms in A.P is
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7
9
11
13
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Question # 20
sin(180° -
θ)=
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cos
θ
-cos
θ
Tan
θ
Sin
θ
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Question # 21
The set of natural is a semi group w.r.t
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Addition
Division
Subtraction
None of these
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Question # 22
If | x | < 1, then the first two terms of (1 - x)
1/2
are
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Question # 23
Every set is an improper subset of
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Empty set
Equivalent set
Itself
Singleton set
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Question # 24
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Question # 25
If line through (4,3) and (2,k) is perpendicular to y =2x +3, then k =_______
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-1
1
-4
4
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Question # 26
The number of permutation that can be formed from the letters of the word OBJECT is
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700
600
720
620
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Question # 27
System of linear equations is inconsistent if
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System has no solution
System has one solution
System has two solution
None of above
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Question # 28
If distance between (a,2) and (0,0) is 2 then a = _______
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0
2
4
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Question # 29
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x =0, y =4
x = -1, y = 2
x = 2, y = 3
x = 3, y = 4
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Question # 30
The graph of a linear function is
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a circle
triangle
a straight line
none of these
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Question # 31
The set {-1,1} is
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Group under the multiplication
Group under addition
Does not form a group
Contains no identity element
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