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Online Tests
Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
If the exponent in the binomial expansion is 6, then the middle term is
Choose an answer
2nd term
3rd term
4th term
5th term
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Question # 2
Cos 0° = ______
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-1
0
1
Undefined
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Question # 3
Both the roots of the equation (x - b) (x - c) + (x - c)(x - a) + (x - a)(x - b) = 0 are always
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Positive
Negative
Real
None of these
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Question # 4
Projection of vector u along v is
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|v| cosθ
|u| cosθ
|v| sinθ
|u| sinθ
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Question # 5
A point of a solution regions where two of its boundary lines intersect, is called:
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Vertex of the solution
Feasible point
Point of inequality
Null point of the solution region
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Question # 6
Range of cosec
θ
is
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W - {y | -1 < y < 1}
R - {y | -1 < y < 1}
O - {y | -1 < y < 1}
R
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Question # 7
The function {f(x,y)|y = ax2 +bx +c} is
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One-one function
Constant function
Onto function
Quadratic function
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Question # 8
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Question # 9
A Geometric Series is divergent only if
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|r|>1
|r|≥1
|r|=1
None of these
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Question # 10
Range of tan
θ
is
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Set of complex numbers
Set of real numbers
Set of odd numbers
Set of positive integers only
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Question # 11
The set {Z\ {0} } is group w.r.t
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Addition
Multiplication
Division
Subtraction
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Question # 12
How many 6-Digit number can be formed without repairing any digit from the digits 0,1,2,3,4,5
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720
600
120
6-5!
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Question # 13
The fixed point from which all the points of a circle are equidistant is called the
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chord of the circle
centre of the circle
diameter of the circle
radius of the circle
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Question # 14
What is the conjugate of -7 -2i?
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-7 + 2i
7 + 2i
7 -2i
None of these
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Question # 15
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R
2R
r
2r
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Question # 16
If the roots of ax
2
+ bx + c =0 are equal in magnitude but opposite in sign, then
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a = 0
b = 0
c = 0
None of these
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Question # 17
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sin h x
cos h x
sec h x
cosec h x
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Question # 18
The additive inverse of a matrix A is
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None of these
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Question # 19
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Associative property of addition
Commutative property of addition
Distributive property
Additive identity
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Question # 20
The solution set of x
2
- 5x + 6 = 0 is
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{1, 3}
{2, 3}
{1, 2}
None of these
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Question # 21
If A is such that a,A,B are in A.P then A is called
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A.M
Common ratio
Common difference
None of these
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Question # 22
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 # 23
The process of finding a function whose derivative is given is called a
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Differentiation
Integration
Differential
None
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Question # 24
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Question # 25
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Question # 26
The equation of the circle with centre origin and radius r is
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x
2
+ y
2
= 1
x
2
+ y
2
= r
2
x
2
+ y
2
= 0
x
2
- y
2
= r
2
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Question # 27
∀x,y∈R and x> 0 , y>0, if x > y
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None of these
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Question # 28
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n!
0!
1
None of these
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Question # 29
The line l is horizontal if
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m is undefined
m=0
m=1
m=0-1
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Question # 30
A function f(x) is said to be the periodic function if for all x in the domain of f, there exists a smallest positive number p such the f(x + p) = ______
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f(p)
f(x)
f(o)
None of these
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Question # 31
If G is a G.M between a and b then a,G,b are in
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A.P
H.P
G.P
None of these
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