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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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Question # 2
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A
A'
U
U'
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Question # 3
(2 + w) (2 + w
2
) = ______
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1
2
3
0
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Question # 4
E-radius corresponding to < B is
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Question # 5
If the 4th term in the expansion of (px + x
-1
)
m
is 2.5 for all x
∈ R, then
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Question # 6
Unit vector in the positive direction of x-axis is
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Question # 7
The set {{a,b}} is
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Infinite set
Singleton set
Two points set
None
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Question # 8
If a
1
and r are the first term and the common ratio respectively then (n + 1)th term of the G.P. is
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0
a
1
r
n-1
a
1
r
n+1
a
1
r
n
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Question # 9
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none of these
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Question # 10
If circumference of circle is divided into 360 congruent parts the angle subtended by one part at the centre of circle is
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1 degree
1 second
1 minute
1 radian
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Question # 11
p, q, r and s are integers. If the A.M. of the roots of x2- px + q2= 0 and G.M. of the roots of x2- rx + s2= 0 are equal, then
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q is an odd integer
r is an even integer
p is an even integer
s is an odd integer
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Question # 12
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Question # 13
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Question # 14
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In(x
2
- x + 1)
4
+ c
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Question # 15
If nis positive integers, then 2
n
>2n+1, only when
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n≤ 3
n≥ 3
n≤ 2
n≤ 1
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Question # 16
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Question # 17
cos(a-β) = ______;
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sin a cosβ + cos a sinβ
sin a cos β - cos a sinβ
cos a cos β + sin a sinβ
cos a cosβ - sin a sinβ
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Question # 18
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3/8
7/8
1/8
None
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Question # 19
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(a - c)
2
= b
2
- c
2
(a - c)
2
= b
2
+ c
2
(a + c)
2
= b
2
- c
2
(a + c)
2
= b
2
+ c
2
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Question # 20
The mid point of the line segment joining the points (3,-1) and (-3,1) is
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(3,-1)
(0,0)
(2,2)
(4,4)
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Question # 21
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Question # 22
14 is not a
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Prime number
Whole number
Even number
Real number
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Question # 23
The position vector of a point (x, y) in xy plane is
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none of these
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Question # 24
The distance of the point (2,-3) from y-axis is
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2
-3
1
5
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Question # 25
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Question # 26
If cos
-1
p + cos
-1
q + cos
-1
r =
π
then p
2
+ q
2
+ r
2
+ 2pqr is equal to
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3
1
2
-1
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Question # 27
A combination lock on a suitcase has 3 wheels each labeled with nine digits from 1 to 9. If an opening combination is a particular sequence of three digits with no repeats, the probability of a person guessing the right combination is
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1 / 500
1 / 504
1 / 252
1 / 250
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Question # 28
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1
0
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Question # 29
If you are looking a high point from the ground, then the angle formed is
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Angle of elevation
Angle of depression
Right angle
Horizon
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Question # 30
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π
π / 2
π / 3
π / 4
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Question # 31
The distance between the points (0,0) and (x,y) is
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x
2
+ y
2
x
y
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