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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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Question # 2
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none of these
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Question # 3
If ax
2
+ bx + x = 0 is satisfied by every value of x, then
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b = 0, c = 0
c = 0
b = 0
a = b = c = 0
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Question # 4
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A = x, B = 1
A = 0, B = 2
A = -1, B = 1
A = x-1, B = x + 1
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Question # 5
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Question # 6
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Question # 7
pth term of an H.P. is qr and qth term is pr then the rth term of the H.P. is
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pqr
1
pq
pqr
2
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Question # 8
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Question # 9
14 is not a
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Prime number
Whole number
Even number
Real number
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Question # 10
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Question # 11
The law of cosines reduces to a2 +c2 =b2 for
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α = 90°
β = 90°
γ = 90°
α +β +γ =180°
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Question # 12
If x is an image of y under the function f. This can be written as
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y = f(x)
f(x) = 0
x = f(y)
f(y) =0
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Question # 13
The set { {a, b} } is
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Infinite set
Singleton set
Two points set
Empty set
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Question # 14
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range of f
domain of f
both (a) and (b)
none of these
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Question # 15
∫sin(ax+b) dx is equal to:
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1/2a cos (ax + b)
-1/a cos (ax +b)
1/a cos (ax +b)
1/a ln (ax + b)
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Question # 16
If the terminal rays of an angle falls on any axis then the angle is called
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Allied angle
Acute angle
Standard position
Quadrantal angle
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Question # 17
A card is drawn from a pack of cards numbered 1 to 52, the probability that the number on the card is a perfect square is
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1/13
2/13
7/52
None of these
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Question # 18
The third term of a G.P. is 4, The product of first five terms is
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43
45
46
None of these
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Question # 19
If E = { } , then P(E)
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∅
{ }
{(2),(4),(6)....}
(∅)
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Question # 20
For all points (x,y) in first 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 # 21
If A = |aij| is (m x n) matrix then transpose of A is of the order
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m x m
m x n
n x n
n x m
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Question # 22
An A.P., a G.P. and a H.P. have the same first and last terms and the same odd numbers of terms, the middle terms of the three series are in
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A.P.
G.P.
H.P.
None of these
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Question # 23
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Reflexive property
Symmetric property
Transitive property
Additive property
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Question # 24
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n(A)
n(B)
0
1
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Question # 25
One root of the equation cos x - x + 1/2 = 0 lies in the interval
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Question # 26
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 # 27
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1 + tan
2
x + c
tan x + c
-tan x + c
cot x + c
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Question # 28
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Question # 29
In a country 55% of the male population has houses in cities while 30% have houses both in cities and in villages find the percentage of the population that has houses only in villages
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45
30
25
50
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Question # 30
x = sin
-1
3, then the value of sin x is
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√(3/2)
3
Not possible
-1
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Question # 31
If the function y=2x -3, what is the preimage of 11?
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11
7
5
2
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