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ECAT Mathematics Online Test MCQs With Answers
Question # 1
The standard form of the quadratic function f(x) = -x
2
+4x+2, is
Choose an answer
(x-2)
2
+6
-(x-2)
2
+ 6
(x-3)
2
+5
(x+4)
2
-7
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Question # 2
Choose an answer
(2x4)
(2x7)
(2x3)
(7x2)
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Question # 3
The number of non zero rows in echelon form of a matrix is called
Choose an answer
Order of matrix
Rank of matrix
Row operation
None of these
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Question # 4
The number of 5-digit number that can be formed from the digits 1,2,4,6,8, when 2 and 8 are never together is
Choose an answer
72
48
144
20
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Question # 5
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Question # 6
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Question # 7
tan(3π/2 +θ)=______;
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tanθ
cotθ
-tanθ
-cotθ
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Question # 8
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Question # 9
a + x is ______
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A trinomial
A binomial
A monomial
None of these
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Question # 10
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Question # 11
Domain of tan x is ______
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Question # 12
If the intersection of two sets is non-empty, but either is a subset of other are called
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Disjoint sets
Over lapping
Equal sets
None of these
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Question # 13
A line joining two distinct points on a parabola is called a ______ of the parabola.
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Chord
Tangent
Lust rectum
directrix
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Question # 14
3j . k x i
Choose an answer
0
1
3
9
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Question # 15
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Question # 16
If distance of (a,b) from origin is 5 then
Choose an answer
a
2
+ b
2
=5
a = 5
b = 5
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Question # 17
The probability of getting a number between 1 and 100 which is divisible by 1 and itself if only is
Choose an answer
1 / 4
1 / 2
3 / 4
25 / 98
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Question # 18
A matrix in which the number of rows is equal to the number of columns is called a
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Diagonal matrix
Rectangular matrix
Square matrix
Scalar matrix
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Question # 19
In one hour, the hour hand of a clock turns through
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Question # 20
The maximum value of 12 sin
θ
-9 sin
2
θ
is x
Choose an answer
3
4
5
None of these
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Question # 21
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Question # 22
If x is an image of y under the function f. This can be written as
Choose an answer
y = f(x)
f(x) = 0
x = f(y)
f(y) =0
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Question # 23
Choose an answer
none of these
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Question # 24
The seventh term of (x3+1/x)8is
Choose an answer
71
-22
27
28
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Question # 25
The number of subsets of B = {1,2,3,4,5}
Choose an answer
10
32
16
5
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Question # 26
If θ be angle between u,v and u,v determine the sides of a triangle then the third side opposite to angle θ has length
Choose an answer
|u+v|
|u|+|v|
|u-v|
|u|-|v|
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Question # 27
If the sum of even coefficients in the expansion of (1+x)n is 128 then
Choose an answer
n=7
n=9
n=8
None
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Question # 28
Z is the set of integers, (z, *) is a group with a * b = a + b + 1, a, b
∈
G. then inverse of a is
Choose an answer
-a
a + 1
-2 -a
None of these
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Question # 29
The general solution of tan 3x = 1 is
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Question # 30
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Question # 31
The common ration of a geometric sequence cannot be
Choose an answer
0
1
2
3
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