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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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(a + b)c = ac + bc
a + b = b + a
(a + b) + c = a + (b + c)
a(b +c) = ab + ac
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Question # 2
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a
2
b
2
c
2
4a
2
b
2
c
2
4abc
None
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Question # 3
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4(x
3
- 3x
2
)
3
+ c
3x
2
- 6x + c
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Question # 4
Number of permutations of n distinct objects taken r(<n - 3) at a time which exclude 3(<n) particular objects is
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3! P(n, r - 3)
P(n, 3) P(n, r - 3)
P(r, r)P(n, r - 3)
P(n - 3, r)
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Question # 5
The greatest term in the expansion of (3+2x)
9
, when x=1 is
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4th
4th and 5th
5th
6th
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Question # 6
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1
-1
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Question # 7
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0
1
1/2
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Question # 8
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Question # 9
The second degree equation 2x2 -xy+ 5x -2y +2 =0 represents
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Circle
Hyperbola
Ellipse
Pair of straight lines
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Question # 10
Which of the following is a scalar.
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force
frequency
weight
acceleration
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Question # 11
The maximum value of the quadratic function f(x) = 2x2-4x+7,is
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3
5
-3
-5
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Question # 12
The number of points of intersection of two curves y = 2 sin x and y = 5x
2
+ 2x + 3 is
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0
1
2
None of these
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Question # 13
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Question # 14
In the expansion of (a + x)
n
the sum of exponents of a and x in each term of the expansion is
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n + 1
n - 1
n
2n
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Question # 15
The multiplicative inverse ofx^(-1) is
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x
a-2
0
1
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Question # 16
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n!
0!
1
None of these
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Question # 17
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405 / 256
504 / 259
450 / 263
None
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Question # 18
Which of the following ordered pair is a solution of the inequality x+2y<6?
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(2,3)
(2,2)
(6,0)
(1,1)
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Question # 19
Which of the following is the subset of all sets
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Φ
{1,2,3}
{Φ}
{0}
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Question # 20
If a set S contains "n" elements then P (S) has ...... number of elements
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2
n
2
2n
2 . n
n
2
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Question # 21
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1
12
5
29
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Question # 22
The solution of the equation 3 tan
2
x = 1 is ____________
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none of these
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Question # 23
The symbol of irrational is
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W
N
Q
Q'
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Question # 24
The distance between the points (0 , 0) and (2, 1) is
Choose an answer
5
0
3
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Question # 25
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Question # 26
The set of natural numbers is a subset of
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{1, 2, 3, .... 100}
The set of whole numbers
{2, 4, 6, 8, .....}
None of these
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Question # 27
If 0 = {1,3,5.......}, then n (0) =
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99
odd integers
Even numbers
Infinite
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Question # 28
The set of rationals numbers between 0 and I is
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Finite
Null set
Infinite
None of these
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Question # 29
Intersection of two parabolas
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parabola
Two points
Four points
Hyperobla
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Question # 30
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Question # 31
The set of complex numbers forms
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Commutative group w.r.t addition
Commutative group w.r.t multiplication
Commutative group w.r.t division
Non commutative group w.r.t addition
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