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Online Tests
Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The term involving x
4
in the expansion of (3 - 2x)
7
is
Choose an answer
120
1512
1250
15120
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Question # 2
If n is any positive integer then 2
n
> 2(n + 1) is true for all
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Question # 3
Z is a group under
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Subtraction
Multiplication
Addition
None of these
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Question # 4
Range of tan x is ______
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[-1, -]
R
Negative real numbers
R - {x | - 1 < x < 1}
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Question # 5
sin(π/2+θ) = _______;
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sinθ
cosθ
-sinθ
-cosθ
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Question # 6
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0
1
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Question # 7
The set of integers is a subset of
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The set of natural numbers
The set of whole numbers
The set of prime numbers
The set of rational numbers
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Question # 8
A quadratic equation in x is an equation that can be witten in the form
Choose an answer
ax
2
+ b = 0
ax
3
+b
2
+c=0
ax
2
+bx+c=0
ax
3
+bx
3
+cx=0
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Question # 9
The point (1,3) is one solution of
Choose an answer
3x + 5y > 29
3x + 5y < 7
x + 2y < 4
x + 4y > 3
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Question # 10
If a
1
, r and a
n
are the first term, common ratio and the nth term respectively of a G. P. then a
n
=
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a
1
r
n
a
1
r
n-1
a
1
r
n+1
a
1
r
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Question # 11
The centre of the circle x2+y2 -2fx-2gy+x=0 is
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(-g,-f)
(g,f)
(f,g)
(-f,-g)
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Question # 12
If a
1
and r are the first term and the common ratio respectively then (n + 1)th term of the G.P. is
Choose an answer
0
a
1
r
n-1
a
1
r
n+1
a
1
r
n
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Question # 13
Name the property used in 4 x (5 x 8) = ( 4 x 5) x 8
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Associative property of addition
Associative property of multiplication
Additive identity
Multiplicative identity
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Question # 14
The condition for polynomial equation ax2 + bx + c = 0 to be quadratic is
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a > 0
a < 0
a≠ 0
a≠ 0,b ≠ 0
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Question # 15
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5
-5
none
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Question # 16
What is the period of 6 sin x=?
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π
-π
π/2
2π
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Question # 17
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a sec(ax + b) + c
- a sec(ax + b) + c
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Question # 18
1/3 is ______
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A prime number
An integer
A rational number
An irrational number
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Question # 19
w
73
= ______
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0
1
w
w
2
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Question # 20
A dice is rolled. The probability that the dots on the top are greater than 4 is
Choose an answer
1/6
1/3
1/2
1
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Question # 21
Choose an answer
Additive property in R
Multiplication property in R
Cancellation property in R
Distribution property in R
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Question # 22
cot
θ
= sin 2
θ
if
θ
=
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Question # 23
The zero vector is regarded to be parallel to
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Every vector
Is some cases
Both a,b
None
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Question # 24
If p, q, r and in A.P., a is G.M. between p and q and b is G.M. between q and r, then a
2
, q
2
, b
2
are in
Choose an answer
A.P.
G.P.
H.P.
None of these
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Question # 25
The additive inverse of 1 is
Choose an answer
1
-1
0
Does not exist
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Question # 26
The matrix A = [aij]1xn is a
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Vector
Rectangular matrix
Column vector
Square matrix
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Question # 27
The process of finding the unknown elements in triangle is called the
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solution of the triangle
Mean differnece
Engineering distance
angle of depressin
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Question # 28
Range of cosec x is ______
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{-1, 1}
R
Negative real numbers
R - { x | - 1 < x < 1}
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Question # 29
For all points (x,y) in first quadrant
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x > 0 , y < 0
x > 0 , y > 0
x < 0 , y < 0
x < 0 , y > 0
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Question # 30
a.a
-1
= a
-1
.a = 1 is a
Choose an answer
Commutative law of multiplication
Multiplication identity
Associative law of multiplication
Multiplication inverse
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Question # 31
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