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ECAT Mathematics Online Test MCQs With Answers
Question # 1
If the roots of 3x2+kx + 12 = 0 are equal then k = ______
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Question # 2
The set of the first elements of the ordered pairs forming a relation is called its
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Function on B
Range
Domain
A into B
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Question # 3
1,1/3,1/5,1/7,1/9..... is a
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geometric sequence
finite sequence
infinite sequence
arithmetic series
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Question # 4
A disjunction of two statement p and q is true
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p is false
q is false
Both p and q are false
One of p and q is true
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Question # 5
The sum of even coefficient in the binomial expansion is
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2
n+1
2
n
2
n-1
2n
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Question # 6
The domain of the principal tan function is
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Question # 7
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 # 8
A diagonal matrix in which the diagonal elements are equal is called a
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Null matrix
Identity matrix
Scalar matrix
Row matrix
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Question # 9
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4A - 3I
3A - 4I
A - I
None of these
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Question # 10
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-2x cos x
2
-2x
2
sin x
2
-x
2
sin x
-2x
2
sin x
2
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Question # 11
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Question # 12
Conic sections or simply conics are the curves obtained by cutting a right circular cone by
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a line
two lines
a plane
two planes
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Question # 13
A square matrix A for which A
t
= -A is called a
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Column matrix
Symmetric matrix
Skew-symmetric matrix
Row matrix
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Question # 14
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0
1
-A
-1
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Question # 15
The period of|sin2x| is
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π/2
-π/2
π
π/3
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Question # 16
(a,0) x (c,0) =
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(0,ac)
(ac,0)
(0,0)
(a,c)
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Question # 17
Order (or sense) of an inequality is changed by multiplying or dividing its each side by a:
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Zero
one
negative constant
Non negative constant
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Question # 18
If f(x)= x
3
then f(-2) is
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-2
-4
-8
8
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Question # 19
The set of real numbers is a subset of
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The set of natural numbers
The set of rational numbers
The set of integers
The set of complex numbers
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Question # 20
The probability of getting a number between 1 and 100 which is divisible by 1 and itself if only is
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1 / 4
1 / 2
3 / 4
25 / 98
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Question # 21
cos 2
α=
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sin
2
α
+ cos
2
α
-cos
θ
tan
θ
None of these
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Question # 22
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sec 5x + c
- sec 5x + c
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Question # 23
If the angle between two vectors with magnitude 2 and 15 is 30
°
then their scalar product is
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15
30
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Question # 24
cot
θ
= sin 2
θ
if
θ
=
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Question # 25
If n(A) = n then n(P(A)) is
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2n
n
2
n/2
2
n
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Question # 26
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Question # 27
The multiplicative inverse of x such that x = 0 is
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-x
does not exist
1/x
0
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Question # 28
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From an empty set
1
2
>2
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Question # 29
If A = {x/x is a positive integer and 4≤x<23}, then A=
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{1,2,3,4,5,6,7}
{4,5,6...........22}
{1,2,3,.........23}
{1,2,3,4,5}
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Question # 30
The area of the circle centred at (1,2) and passing through (4,6) is
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30 πsq.units
5π sq.units
15π sq.units
25π sq.units
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Question # 31
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all are correct
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