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ECAT Mathematics Online Test MCQs With Answers
Question # 1
If n € N , then n(n+3) is always
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Multiple of 3
Multiple of 6
odd
even
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Question # 2
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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 # 3
20. 19. 18. 17= _______
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Question # 4
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n(A)
n(B)
0
1
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Question # 5
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Evert element of A is in B
Every element of B is in A
Every element of A is in B'
Every element of A is in A
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Question # 6
No term of a geometric sequence can be
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0
1
2
3
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Question # 7
The obtuse angle between lines = -2 and y = x +2 is
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120°
135°
150°
140°
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Question # 8
In set builder notation the set {0,1,2,........100} can be written as
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{x / xε B ∧ x ≤ 100}
{x / x ∈ W ∧ x < 101}
{x / x ∈ Z ∧ x < 101}
The set of first 100 whole numbers
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Question # 9
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Question # 10
The periods of the function f(x) = x[x] is
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1
2
Non periodic
None of these
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Question # 11
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none of these
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Question # 12
(n + 2) (n + 1)n in factorial form is
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Question # 13
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Question # 14
The graph of y> 0 is the upper - half of:
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y-axis
x-axis
1st and 4th quandrant
2nd and 3rd quadrant
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Question # 15
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Diagonal matrix
Scalar matrix
Triangular matrix
Identity matrix
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Question # 16
If you are looking someone on the ground from the top of a hill the angle formed is called angle of _______;
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Elevation
Depression
Right angle
None off these
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Question # 17
The transport of a rectangular matrix is a
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Square matrix
Rectangular matrix
Row matrix
Column matrix
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Question # 18
A and B be two square matrices and if their inverse exist, the (AB)
-1
=
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A
-1
B
-1
AB
-1
A
-1
B
B
-1
A
-1
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Question # 19
a.a
-1
= a
-1
.a = 1 is a
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Commutative law of multiplication
Multiplication identity
Associative law of multiplication
Multiplication inverse
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Question # 20
The position vector of any point in space is
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Question # 21
f(x) = x
3
is:
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an odd function
an even function
an implicit function
a quadratic funtion
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Question # 22
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sec x tan x
cos
2
x
sin
2
x
sec
2
x
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Question # 23
A relation in which the equality is true only for some values of the known is called ______
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An identity
An equation
A polynomial
None of these
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Question # 24
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none of these
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Question # 25
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Question # 26
The line through the intersection of the lines x+ 2y+ 3= 0 : 3x +4y +7 =0 and making equal intercepts on the axes is
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x+ y+ 1= 0
x+ y- 2= 0
x+ y+ 2= 0
2x +y +2 =0
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Question # 27
A function F(x) is called even if
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F(x) = F (-x)
F(x) = F(-x)
F(x) = -F(x)
2F(x) = 0
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Question # 28
The roots of the equation ax
2
+ bx + x = 0 are real and distinct if
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b
2
- 4ac <0
b
2
- 4ac = 0
b
2
- 4ac > 0
None of these
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Question # 29
22.5°=______
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Question # 30
The locus of the point of intersection of tangents to an ellipse at two points, sum of whose eccentric angles is constant is
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A parabola
A circle
An ellipse
A st. line
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Question # 31
Out of 10, 000 families with 4 children each, the number of families all of whose children are daughters is
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375
500
625
150
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