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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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-1
0
1
undefined
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Question # 2
In an A.P,a +(n-a)d is
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1st term
General term
Last term
None of these
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Question # 3
If n∈Z+ then(a+x)n is a/an
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Finite series
Convergent series
Infinite series
Divergent series
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Question # 4
Number of lines passing through three non-collinear points is
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2
3
1
0
∞
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Question # 5
The general term of a sequence is denoted by
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a
1
a
n
n
s
n
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Question # 6
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A prime number
An integer
A whole number
An irrational number
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Question # 7
Both the roots of the equation (x -b) (x - c ) + (x -c) (x-a) +(x-a) (x-b) = 0 are always
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Positive
Negative
Real
None of these
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Question # 8
The square matrix A is skew Hermitian when (A)'=
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A
A'
-A
A
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Question # 9
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l
2
+ m
2
+ n
2
= 0
l
2
- m
2
+ n
2
= 1
l
2
+ m
2
+ n
2
= 1
l
2
+ m
2
- n
2
= 0
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Question # 10
A fraction in which the degree of the numerator is less the degree of the denominator is called
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Polynomial
Proper fraction
Rational fraction
None
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Question # 11
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Question # 12
The conic is a parabola, when:
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ᵨ > 1
ᵨ < 1
ᵨ = 1
ᵨ = 0
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Question # 13
If 2 tan
1
(cos x) = tan
-1
(cosec
2
x), then x is equal to
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π
/ 3
π
/ 2
π
/ 6
π
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Question # 14
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1
2
3
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Question # 15
If a set S contains "n" elements then P (S) has ...... number of elements
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2
n
2
2n
2 . n
n
2
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Question # 16
If y=f(x) is a function then x is called
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dependent variable
independent variable
constant
none of these
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Question # 17
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Question # 18
Matrices A = [aij] 2 x 3 and B =[bij] 3 x 2 are suitable for
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BA
A
2
AB
B
2
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Question # 19
The distance of the point (2.3) from x-axis is
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2
3
5
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Question # 20
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Question # 21
The zero vector is
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[0, 0, 0]
[1, 1, 1]
[0, 1, 0]
[0, 0, 1]
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Question # 22
The exterior angle of the interior angle C of he quadrilateral whose vertices are A(5,2),B(-2,3),C(-3,-4),D(4,-5) is
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30°
60°
45°
90°
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Question # 23
The point ________ is in the solution of the inequality 2x - 3y > 5
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(1, -1)
(2,2)
(0,0)
(3,0)
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Question # 24
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15/23
7/15
7/8
15/7
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Question # 25
In the expansion of (x+y)n the coefficient of 5th and 12th terms are equal then n=
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12
n=14
17
n=15
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Question # 26
Every subset of a finite set is
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Disjoint
Null
Finite
Infinite
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Question # 27
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x
3
- x
2
+ x + c
6x - 2 + c
x
3
- 2x + c
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Question # 28
A series consisting of an unlimited number of terms is termed as an
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Finite sequence
Infinite sequence
Infinite series
geometric sequence
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Question # 29
(n + 2) (n + 1)n in factorial form is
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Question # 30
f(x) = 3x
4
-2x
2
+ 7 is:
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an even function
an odd function
an even and implicit function
neither even nor a odd
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Question # 31
If one root of the equation ix
2
- 2(i + 1) x +(2 - i) = 0 is 2 - i, then the other root is
Choose an answer
-i
2 + i
i
2 - i
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