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ECAT Mathematics Online Test MCQs With Answers
Question # 1
Choose an answer
n!
0!
1
None of these
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Question # 2
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Question # 3
A disjunction of two statement p and q is true
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p is false
q is false
Both p and q are false
One of p and q is true
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Question # 4
The sum of the even coefficients in the expansion (1 + x)
n
is
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n
2
2
n-2
2
n-1
2
n
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Question # 5
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perpendicular vectors
concurrent vectors
parallel vectors
none of these
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Question # 6
In the interval 0≤ x ≤ π, the sine is
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Not a function
Not defined
Infinity
Not one-to-one function
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Question # 7
If x
3
+ 4x
3
- 2x +5 is divided by x - 1, then the reminder is
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8
6
4
None of these
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Question # 8
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Question # 9
sec h x = ________
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Question # 10
i
101
=
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i
i
2
-i
-1
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Question # 11
The set {{a,b}} is
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Infinite set
Singleton set
Two points set
None
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Question # 12
x = ________ is in the solution of 2x - 5 > 0
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0
2
-2
3
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Question # 13
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Question # 14
Period of 3 sin x is ______
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Question # 15
Find the next two terms of 7, 9, 12, 16,...
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18, 20
19, 22
20, 25
21, 27
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Question # 16
(7, 9) + (3, -5) =
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(4, 4)
(10, 4)
(9, -5)
(7, 3)
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Question # 17
Every natural number is
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A prime number
An irrational number
An integer
An even number
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Question # 18
45° = ______
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Question # 19
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Question # 20
If f(x) = x
2
then f(2) is
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-2
2
4
-4
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Question # 21
Let A,B and C be any sets such that A∪B = A∪C and A∩ B = A∩ C then
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A = B
B = C
A≠ C
A ≠ B
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Question # 22
The horizontal distance between the two towers is 60 m. the angular elevation of the top of the taller tower as seen from the top of the shorter one is 30°. If the height of the taller tower is 150 m, the height of the shorter one is
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116 m
200 m
216 m
None of these
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Question # 23
The first three terms in the expansion of (1 - x)
-2
are
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1 - 2x + 3x
2
1 - 2x - 3x
2
1 + 2x + 3x
2
-2 - 2x +3x
2
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Question # 24
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Question # 25
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Question # 26
If cos (2 sin-1 x) = 1/9 , then what is the value of x?
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1/3
-2/3
2/3
2/3 , -2/3
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Question # 27
The number of subsets of a set having three elements is
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4
6
8
none of these
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Question # 28
The process of finding a function whose derivative is given is called a
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Differentiation
Integration
Differential
None
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Question # 29
The solution set of the equation |3x + 2| = 5 is
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Question # 30
The direction cosines of y-axis are
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1, 0, 0
0, 1, 0
0, 0, 1
1, 1, 1
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Question # 31
If A = {2m/m
3
= 8 , m€ Z} then A =
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{1,8,27}
{4}
(2,4,6}
{2,16,54}
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