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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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Question # 2
The solution set of x < 4 is
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-
∞
< x < 4
-
∞
> x > 4
-
∞
< x < 2
-
∞
> x > 2
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Question # 3
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sec x tan x
cos
2
x
sin
2
x
sec
2
x
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Question # 4
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Hermitian matrix
Skew-hermitian matrix
Symmetric matrix
Identity matrix
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Question # 5
2π is the period of
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sin𝜽
tan𝜽
cot𝜽
all circular function
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Question # 6
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Question # 7
The 6th term of an arithmetic sequence whose first term is 3 and common difference in zero is
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18
6
3
0
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Question # 8
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Question # 9
In quadratic equation, if the replacement of y with -y leaves the equation unchanged, then the graph is
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Straight line
Circle
Hyperbola
Symmetric w.r.t.0
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Question # 10
The exact value of cos
-1
(-1) + cos
-1
(1) =
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π
-π
π/2
π/3
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Question # 11
The set of points {(x,y)|y = f(x),∀x∈} is called
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Relation
Graph of f
Function
All are correct
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Question # 12
If a
1
= 3, r = 2, then the nth term of the G.P. is
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2.3
n-1
3.2
n
3.2
n+1
3.2
n-1
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Question # 13
Fifteen girls compete in a race. The first three places can be taken by them in
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3! ways
12! ways
15 x 14 x 13 ways
42 ways
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Question # 14
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sin h x
cos h x
tan h x
cot h x
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Question # 15
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none of these
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Question # 16
The number of real tangents that can be drawn to the ellipse 3x
2
+ 5y
2
= 32 passing thro. (3, 5) is
Choose an answer
0
1
2
Infinite
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Question # 17
If d
1
is the distance between (0,0) and (1,2) and d
2
is the distance between (0,0) and (-1,-2) the
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d
1
< d
2
d
1
> d
2
d
1
= d
2
none of these
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Question # 18
G = {e, a, b, c} is an Abelian group with e as identity element. The order of the other elements are
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2, 2, 2
3, 3, 3
2, 2, 4
2, 3, 4
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Question # 19
The eccentricity e of an ellipse is always
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Rational
Real
Irrational
Integer
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Question # 20
If f(x) = x
2
then f(0) is
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0
1
2
none of these
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Question # 21
The last term of (1+2x)-2
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(-1)-2 (2x)-2
(-1)-4(-2x)-2
(-1)-3(2x)-3
Does not exist
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Question # 22
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Question # 23
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Question # 24
How many necklaces can be made from 6 beads of different colours?
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120
60
24
15
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Question # 25
The solution of differential equation:
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dy/dx+y/x = x
2
is :
4xy = x
4
+ c
4x = x
4
= c
4 y = x
4
+ c
4x=4x
3
+ c
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Question # 26
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1
-1
0
None of these
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Question # 27
Matrices are represented by
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Natural numbers
Real numbers
Small letters
Capital letters
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Question # 28
Period of cos 2x is ______
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Question # 29
For non-trival solution |A| is
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A = 0
A
t
= 0
|A| = 0
None of these
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Question # 30
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a
2a
3a
4a
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Question # 31
How many arrangements of the letter of the word PAKPATTAN can be made
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