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ECAT Mathematics Online Test MCQs With Answers
Question # 1
The set {{a,b}} is
Choose an answer
Infinite set
Singleton set
Two points set
None
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Question # 2
The number of subsets of B = {1,2,3,4,5}
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10
32
16
5
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Question # 3
Multiplicative inverse of 0 is
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0
1
±1
Does not exist
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Question # 4
The line 2x +√6y =2 is a tangent to the curve x2 -2y2 =4 The point of contact is
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(√6,1)
(2,3)
(7,-2√6)
(4,-√6)
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Question # 5
If a force F = 2i + j +3k acts at point (1,-2,2) of a body then the moment of F about a pint lying on the line of action of the force is
Choose an answer
5
Equal to the moment of the force about origin
0
Cannot be found
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Question # 6
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Question # 7
If t is the parameter for one end of a focal chord of the parabola y
2
= 4ax, then its length is
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Question # 8
Two balanced dice are tossed once, the sample space when the integers on the faces of two dice are the same is
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{(1, 1), (2, 2), (3, 3)}
{(4, 4), (5, 5), (6, 6)}
{(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6)}
None of these
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Question # 9
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Question # 10
A line segment whose end points lie on a circle is called
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The secant of the circle
The arc of the circle
The chord of the circle
The circumference of the circle
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Question # 11
The probability of getting a number between 1 and 100 which is divisible by 1 and itself if only is
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1 / 4
1 / 2
3 / 4
25 / 98
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Question # 12
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None of these
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Question # 13
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-sin
θ
cos
θ
sin
θ
-cos
θ
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Question # 14
How many term are there in the A.P, in which a
1
= 11 , a
n
=68, d=3
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30
27
20
21
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Question # 15
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Question # 16
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Addition
Multiplication
Division
Both addition and multiplication
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Question # 17
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Reflexive property
Symmetric property
Transitive property
Additive property
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Question # 18
The complement of set A relative to universal set U is the set
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{x / x∈ A∧ x∈ U}
{x / x∉ A∧ x ∈ U}
{x / x∈ A and x ∉ U}
A-U
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Question # 19
Gooch crucible is made of :
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Brass.
Porcelain.
Bronze.
Gold.
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Question # 20
If
∀a,b ε R,then a +b ε R is a property
Choose an answer
Closure law of addition
Associative law of addition
Additive inverse
Additive identity
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Question # 21
Number of selections of n different things out of n
Choose an answer
1
nPr
n!
nPr
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Question # 22
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Question # 23
An indicated sum of terms of a sequence is represented by
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Sn
an
S(n)
{Sn}
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Question # 24
cot(3π/2 -θ)=______;
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tanθ
cotθ
-tanθ
-cotθ
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Question # 25
Number of ways of writing the letters of WORD taken all at a time is
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24
4
12
6
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Question # 26
The statement that a group can have more than one identity elements is
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True
False
Fallacious
Some times true
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Question # 27
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none of these
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Question # 28
√23 is
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A rational number
A irrational number
An even integer
A factor of 36
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Question # 29
The lotus of intersection of perpendicular tangents to the parabola y
2
= 4ax is:
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Axis of the parabola
Focal chord of the parabos
The tangent at vertex of the parabola
a directrix of the parabola
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Question # 30
Let P(x
1
, y
1
) and Q(x
2
, y
2
) be two points in the co-ordinate plane. Let d = distance between P and Q
Choose an answer
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Question # 31
The A.M. of two numbers is 34 and G.M. is 16, the numbers are
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2 and 64
64 and 3
64 and 4
None of these
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