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ECAT Mathematics Online Test MCQs With Answers
Question # 1
If A(x
1
, y
1
) , B(x
2
, y
2
) and C(x
3
, y
3
) are the vertices of a triangle then its centroid is
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Question # 2
If sided of𝜟ABC are 16,20,and 33, then the value of the greatests angle to
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150𝜊 20'
132𝜊 35'
101𝜊 25'
160𝜊 50'
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Question # 3
The sum of infinite numbers of terms of an arithmetic series is
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Finite
Infinite
May or may not finite
None of these
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Question # 4
(a,b) +(-a,-b) =
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(0,0)
(a,b)
(-a,-b)
(1,1)
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Question # 5
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Question # 6
An infinite sequence has no
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nth term
Last term
Sum
None of these
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Question # 7
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Question # 8
sin(π+θ)=_______;
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sinθ
cosθ
-sinθ
-cosθ
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Question # 9
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Question # 10
Form a group of 5 men and 3 women, a committee of 4 persons is to be selected randomly. The probability that there is a majority of men is
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1/4
1/3
1/2
1/6
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Question # 11
Number of selections of n different things out of n
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1
nPr
n!
nPr
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Question # 12
cos 2
α=
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sin
2
α
+ cos
2
α
-cos
θ
tan
θ
None of these
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Question # 13
Domain of 1+cot2θ=csc2θ is
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[0,π]
R-{x/x=nπ,n∈ z}
(-∞,+∞)
[-1,1]
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Question # 14
The point where the axis meets the parabola is called
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Directrix
Foucu
Chord
Vertix
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Question # 15
7
2n
+ 3
n-1
. 2
3n-3
is divisible by
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24
25
9
13
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Question # 16
The set {0,-1} hold closure property under
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Addition
Both a & c
Multiplication
None of these
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Question # 17
Which shape of the following objects are approximately parabolic ares?
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Light reflectors
Force
Weight of the pendul
None of these
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Question # 18
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none of these
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Question # 19
The transport of a null matrix is
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Row matrix
Column matrix
Square matrix
Null matrix
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Question # 20
If a,β are the roots of ax2+bx+c=0,the equation whose roots are doubled is
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ay2 +2by+c=0
ay2+2by+4c=0
ay2+2by+c=0
ay2+by+4c=0
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Question # 21
(a-1)-1 =
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a-1
a
-a
None of above
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Question # 22
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2
0
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Question # 23
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6
20
0
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Question # 24
A function whose range is just one elements is called
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One-one function
Constant function
Onto function
Identity function
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Question # 25
The decimal fraction in which we have finite number of digits in its decimal part is called.
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recurring decimal fraction
Non terminating faction
Non recurring fraction
terminating decimal fraction
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Question # 26
Identity w.r.t intersection in a power set of any set is
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∅
Set itself
Singleton set
{0}
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Question # 27
n!/(n-1)!=
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n
n!
(n-1)!
0!
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Question # 28
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trigonometric equation
conditional equation
identity
None
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Question # 29
In R, the additive inverse of a is
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0
1
-a
1/a
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Question # 30
If a
1
, r are first term and the common ratio respectively then the sum of an infinite geometric series is
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Question # 31
If f(x) = x
3
- 2x
2
+ 4x -1 then f(0) is
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0
1
-1
none of these
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