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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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Question # 2
The transport of a square matrix is a
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Row matrix
Column matrix
Square matrix
Null matrix
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Question # 3
Name the property used in 1000 x 1 = 1000
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additive inverse
multiplicative inverse
additive identity
multiplicative identity
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Question # 4
An open sentences formed by using the sign of equality '=' is called ______
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An identity
An equation
A polynomial
None of these
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Question # 5
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15
15 i
-15 i
-15
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Question # 6
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Question # 7
The negation of given number is a
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Binary operation
Unary operation
Relation
None of these
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Question # 8
Domain of cosh x is
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R
R -{0}
[1,∞)
[0,∞)
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Question # 9
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2
7
8
12
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Question # 10
A function f is said to be an even if f(-x) =
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0
1
f(x)
-f(x)
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Question # 11
The range of y = cot x = ______
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-
∞
> y > +
∞
-
∞
> x > +
∞
-
∞ <
y < +
∞
None of above
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Question # 12
A chimney is such that on walking towards it 50 m in a horizontal line through its base the angular elevation of its top changes from 30° to 45°. The height of the chimney is
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Question # 13
The total number of subsets that can be formed out of the set {a, b, c} is
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1
4
8
12
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Question # 14
99th term of the series 2 + 7 + 14 + 23 + 34 + ..... is
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9998
9999
10000
None of these
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Question # 15
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1 + tan
2
x + c
tan x + c
-tan x + c
cot x + c
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Question # 16
The angle between the vectors 3i + j - k and 2i - j + k is
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Question # 17
The sum of the coefficient in the expansion of (a + x)
5
is
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32
16
8
5
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Question # 18
The liner equation ax + by = c is called _________ of the inequality ax +by > c.
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Associated equation
Non-associated equation
disjoint equation
Feasible equation
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Question # 19
Which of the vectors have opposite direction?
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Question # 20
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I and
I
I quadrants
I
I and
I
I
I quadrants
I
I
I and
I
V
quadrants
none of these
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Question # 21
The roots of px2 - (p-q)x-q=0 are
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equal
Irrational
Rational
Imaginary
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Question # 22
The only function which is both even and odd is
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f(x) =α
f(x) = x
f(x) =0
Both A & B
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Question # 23
An ellipse slides between two lines at right angles to one another. The locus of its centre is :
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a parabola
an ellipse
a circle
a hyperbola
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Question # 24
The parametric equation of a curve are x = t
2
, y = t
3
then
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Question # 25
(A∩Bc)c= -------------------------
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Ac∪Bc
Ac∪B
Ac∩B
None of these
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Question # 26
Circumcentre of the triangle, whose vertices are (0, 0), (6, 0) and (0, 4) is
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(2, 0)
(3, 0)
(0, 3)
(3, 2)
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Question # 27
The set {1, 2, 3, 4, ....} is called
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Set of Natural numbers
Set of whole numbers
Set of rational number
Set of irrational numbers
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Question # 28
Trival solution of homogeneous linear equation is
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(0, 0, 0)
(1, 2, 3)
(1, 3, 5)
a, b and c
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Question # 29
Multiplicative inverse of 0 is
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0
1
±1
Does not exist
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Question # 30
The set of real roots of the equation log
(5x + 4)
(2x +3)
3
- log
(2x + 3)
(10x
2
+ 23x + 12) = 1 is
Choose an answer
{-1}
{-3/5}
Empty set
{-1/3}
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Question # 31
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0
3
9
-3
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