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ECAT Mathematics Online Test MCQs With Answers
Question # 1
A disjunction of two statement p and q is true
Choose an answer
p is false
q is false
Both p and q are false
One of p and q is true
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Question # 2
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Question # 3
If the radius of a circle is increased by 1 then area of circle will be
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π r2
π(r+1)2
π r2 +1
2π (r+1)
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Question # 4
The general term in the expansion of (a+x)n is
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(r-1)th term
(r+1)th term
rth term
none
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Question # 5
The fifth term of (a+2x3)17 is
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4013 x3a13
2208a13 x12
223x7a18
38080a13 x12
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Question # 6
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Question # 7
There are n seats round a table numbered 1, 2, 3 .... n. The number of ways in which m person can take seats is
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n
P
m
n
C
m
x (m - 1) !
n-1
P
m
None of these
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Question # 8
i
3
=
Choose an answer
-1
i
-i
1
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Question # 9
The condition for polynomial equation ax
2
+ bx + c = 0 to be quadratic is
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Question # 10
The set {x|x∈N∧x-4=0} in tabular form is
Choose an answer
{-4}
{0}
{}
None of these
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Question # 11
√23 is
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A rational number
A irrational number
An even integer
A factor of 36
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Question # 12
Every set is an improper subset of
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Empty set
Equivalent set
Itself
Singleton set
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Question # 13
f(x)g(x)- ∫g(x) f′(x) dx is equal to
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∫f(x)g′(x)dx
∫f′(x)g(x)dx
∫f′(x)g(x)′dx
∫f(x)g(x)dx
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Question # 14
Choose an answer
none of these
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Question # 15
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none of these
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Question # 16
If |αi + (α+1)j +2k| =3 then value of α is
Choose an answer
1,2
-1,-2
1,-2
-1,2
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Question # 17
The constant distance of all points of the circle from its centre is called the
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Radius of the circle
Secant of the circle
Chord of the circle
Diameter of the circle
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Question # 18
What is the number of elements of the power set of {0, 1}
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1
2
3
4
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Question # 19
The centre of the conic x2 +16x +4y2 -16y +76 =0 is
Choose an answer
(0,10)
(-8,4)
(-8,-2)
(1,1)
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Question # 20
If a and b are real numbers then a+b is also real number this law is called
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associative law of addition
closure law of addition
Distributive law of addition
Commutative law of addition
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Question # 21
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Question # 22
The equation of the normal to the circle x
2
+ y
2
= 25 at (4, 3) is
Choose an answer
3x - 4y =0
3x - 4y =5
4x + 3y = 5
4x + 3y = 25
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Question # 23
The sum of all positive integral multiple of 5 less than 100 is
Choose an answer
950
760
1230
875
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Question # 24
The sum of first twenty odd integers in A.P is
Choose an answer
400
397
404
408
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Question # 25
The equation of vertical asymptotes of y = cos ecx is
Choose an answer
x = 0
y = 0
x =∞
y =∞
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Question # 26
Empty set is
Choose an answer
Not the member of real numbers
Infinite set
Finite set
Not subset of every set
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Question # 27
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0
-1
1
not defined
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Question # 28
Choose an answer
an A.P.
a G.P.
a H.P.
None of these
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Question # 29
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Question # 30
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Question # 31
The line y = 2 x + c is a tangent to the parabola y
2
= 16 x if c equals
Choose an answer
-2
-1
0
2
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