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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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Question # 2
If 2x
1/3
+ 2x
-1/3
= 5, then x is equal to
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1 or -1
2 or 1/2
8 or 1/8
4 or 1/4
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Question # 3
If all members of a sequence are real numbers then it is called
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A.P
Real Sequence
G.P
None of these
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Question # 4
Additive inverse of -a -b is
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a
-a + b
a - b
a + b
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Question # 5
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a
x
a
x
In a
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Question # 6
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Question # 7
Fifteen girls compete in a race. The first three places can be taken by them in
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3! ways
12! ways
15 x 14 x 13 ways
42 ways
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Question # 8
The function f(x) =|x| is a/an_______function
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Even
Odd
Both even as well as odd
Neither even nor odd
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Question # 9
If d
1
is the distance between (0,0) and (1,2) and d
2
is the distance between (0,0) and (2,1) then
Choose an answer
d
1
= d
2
d
1
<d
2
d
1>
d
2
none of these
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Question # 10
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none of these
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Question # 11
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1 / 2
1 / 3
1 / 4
None of these
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Question # 12
Domain of sin
θ
is
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Set of real numbers
Set of complex numbers
Set of natural numbers
Set of even numbers
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Question # 13
Domain of 3 sin x is ______
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[-3, 3]
R
Positive real numbers
None of these
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Question # 14
The set {1,2,3,4......} is called
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Set of natural numbers
Set of whole numbers
Set of rational number
Set of irrational numbers
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Question # 15
The period of|sin2x| is
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π/2
-π/2
π
π/3
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Question # 16
The set {Z\{0}} is group w.r.t
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Addition
Multiplication
Division
Subtraction
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Question # 17
For all points (x,y) in third 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 # 18
If
α
,
β
are the roots of ax
2
+ bx + c = 0 and
α
+ h,
β
+ h are the roots of px
2
+ qx + r=0, then h =
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Question # 19
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Question # 20
The parametric equations of a circle are
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Question # 21
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x
3
3x
2
3x
3
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Question # 22
For trival solution |A| is
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A
|A| is non zero
A = 0
None of these
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Question # 23
If the lines 2x-3y-1=0,3x-y-5=0 and 3x+py+8=0 meet at a unique point then
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p = -14
p = -1
p =0
p=12
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Question # 24
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Question # 25
f(x) = sin x is:
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an odd function
an even function
an implicit function
an exponential function
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Question # 26
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Question # 27
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Question # 28
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Question # 29
The physical quantity which possesses both magnitude and direction is called a
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scalar
vector
constant
none of these
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Question # 30
Out of 40 consecutive natural numbers, two are chosen at random. Probability that the sum of the numbers is odd, is
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14 / 29
20 / 39
1 / 2
n
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Question # 31
Decimal part of irrational number is
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Terminating
Repeating only
Neither repeating nor terminating
Repeating and terminating
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