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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
If n is any positive integer then 3 + 6 + 9 + ....+ 3n = ______
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Question # 2
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Question # 3
If f:A→B is an injective function and second elements of no two of its ordered pairs are equal, then f is called
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1-1 and onto
Bijective
1-1 and into
None of these
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Question # 4
If for the matrix A, A
5
= I, then A
-1
=
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A
2
A
3
A
None of above
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Question # 5
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range of f
domain of f
both (a) and (b)
none of these
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Question # 6
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Question # 7
The direction cosines of a line equally inclined with co-ordinate axes are
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Question # 8
Write the first four terms of the sequence if a
n
= (-1)
n
n
2
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-1, 4, -9, 16
1, -4, 9, 16
1, 4, 9, 16
None of these
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Question # 9
If 0 = R, thenthe additive inverse of a is
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1/9
1/-9
a
-a
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Question # 10
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Singular
Non-singular
Adjoint
None of above
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Question # 11
if Z1 = 1+i, Z2= 2+3i, then |Z2 -Z1| =
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√3 i
√7
-2-i
√5
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Question # 12
If the lines 2x-3y-1=0,3x-y-5=0 and 3x+py+8=0 meet at a unique point then
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p = -14
p = -1
p =0
p=12
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Question # 13
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3
1
4
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Question # 14
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 # 15
The inclination of a line parallel to y-axis is
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Question # 16
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15
9
7
8
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Question # 17
{x : xε Z and x < 1} is
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Singleton set
A set with two points
Empty set
None of these
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Question # 18
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 # 19
Optimize means ______ a quantity under certain constraints
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Minimize
Maximize
Maximize or minimize
None of these
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Question # 20
The distance of the point (2,3) from origin is
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5
2
3
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Question # 21
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 # 22
Every recurring decimal represents
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A natural number
A rational number
An irrational number
A whole number
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Question # 23
cos 315° = ______
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Question # 24
The equation of the sphere thro' the origin and making intercepts a, b, c on co-ordinate axes is
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x
2
+ y
2
+ z
2
+ ax + by + cz = 0
x
2
+ y
2
+ z
2
- 2ax - 2 by - 2 cz = 0
x
2
+ y
2
+ z
2
= a + b + c
x
2
+ y
2
+ z
2
- ax - by - cz =0
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Question # 25
If n is any positive integer then 4
n
>3
n
+ 4 is true for all
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Question # 26
6 is
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A prime integer
An irrational number
A rational number
An odd integer
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Question # 27
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real number
complex number
rational number
irrational number
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Question # 28
202.04 is an example of
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Recurring decimals
Non-recurring decimals
Terminating decimals
None of above
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Question # 29
Let a
1
, a
2
, a
3
, a
4
and a
5
be such that a
1
, a
2
, and a
3
are in A.P., a
2
, a
3
and a
4
are in G.P and a
3
, a
4
and a
5
are in H.P. Then, a
1
, a
3
and a
5
are in
Choose an answer
G.P.
A.P.
H.P.
None of these
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Question # 30
(A∩Bc)c= -------------------------
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Ac∪Bc
Ac∪B
Ac∩B
None of these
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Question # 31
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0
1
-1
none of these
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