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ECAT Mathematics Online Test MCQs With Answers
Question # 1
Sine is a periodic function and its period is ______
Choose an answer
π
s
2
π
4
π
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Question # 2
The third term of a G.P. is 4, The product of first five terms is
Choose an answer
43
45
46
None of these
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Question # 3
Range of 3 cot x is ______
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[-1, 1]
[-3, 3]
R
None of these
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Question # 4
The solution of equation x2 + 2 = 0 in the set of real number is
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Infinite set
Singleton set
Null set
None of these
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Question # 5
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Rational fraction
Proper fraction
Improper rational fraction
None of these
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Question # 6
If distance between (3,b) and (0,0) is 3 then b = _______
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3
9
0
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Question # 7
If d
1
is the distance between (0,0) and (1,2) and d
2
is the distance between (0,0) and (-1,-2) the
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d
1
< d
2
d
1
> d
2
d
1
= d
2
none of these
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Question # 8
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Question # 9
Two circles x2 +y2 +8x -9= 0 and x2+y2+6y +k =0 touchinternallyif the value of k is
Choose an answer
k = 9
k = ±9
k=-9
k=11
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Question # 10
The graph of the linear equation of the form ax =by = c is a line which divided the plane into:
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Two similar regions
Two disjoint regions
Four equal parts
One region
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Question # 11
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ab=-1
ab = 1
ab = 2
None
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Question # 12
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2
-2
none of these
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Question # 13
if a
9 =19,a9=31 are the 6th and 9th term of an A.P. and d=4 is the common difference, then 18th term of the sequence is
Choose an answer
65
67
71
75
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Question # 14
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Question # 15
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Question # 16
Associative law of multiplication
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ab - ba
a(bc) = (ab) c
a(b + c) = ab +ac
(a +b)c = ac + bc
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Question # 17
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Question # 18
The period of tan x/7 is
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3π
7π
15π
5π
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Question # 19
The roots of the equations will be equal if b
2
- 4ac is
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Positive
Negative
1
Zero
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Question # 20
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none of these
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Question # 21
The numbers of G
1
, G
2
, G
3
...... G
n
are called n geometric means between a and b is a, G
1
, G
2,
G
3
, ... G
n
, b are in
Choose an answer
H.P.
A.P.
G.P.
None of these
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Question # 22
If the function y=2x -3, what is the preimage of 11?
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11
7
5
2
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Question # 23
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Question # 24
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 # 25
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Question # 26
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Question # 27
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quadrant I
quadrant II
quadrant III
quadrant IV
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Question # 28
A monoid (G, *) is said to be group if
Choose an answer
have identity element
is commutative
have inverse of each element
None of these
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Question # 29
Every prime number is also
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Rational number
Even number
Irrational number
Multiple of two numbers
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Question # 30
The 6th term of an arithmetic sequence whose first term is 3 and common difference in zero is
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18
6
3
0
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Question # 31
If the vertex of the parabola is the origin and directrix is x+5 = 0 . then its latus rectum is:
Choose an answer
10
5
0
20
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