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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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Question # 2
(1+w)(1+w2)(1+w4)(1+w8)....50 factors
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0
-1
1
2
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Question # 3
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Question # 4
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Question # 5
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1
0
5
2
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Question # 6
3x + 4
>
0 is
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equation
inequality
identity
none of these
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Question # 7
An improper rational fraction can be reduced by division to a
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Proper fraction
Polynomial
mixed form
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Question # 8
a.a
-1
= a
-1
.a = 1 is a
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Commutative law of multiplication
Multiplication identity
Associative law of multiplication
Multiplication inverse
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Question # 9
The st. lines whose direction cosines satisfy al + bm + cn = 0, fmn + gnl + hlm=0 are perpendicular if
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Question # 10
If (2, 3) is the mid point of (a, 3) and (5, b) then
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a = 1 , b = -3
a = -1 , b = 3
a = 1 , b =3
a = -1 , b = -3
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Question # 11
The value of n, when
n
P
2
= 20 is
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3
4
6
5
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Question # 12
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 # 13
An equation which hold good for all values of the variables is called
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Identity
fraction
mixed form
Partial equation
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Question # 14
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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Question # 15
There are ______ types of rational fraction
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Three
Four
Five
Two
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Question # 16
∫x/Sin
2
x dx is equal to:
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x cot x + ln|sinx |
-x cot x - ln|sinx |
x cot x - ln|sinx |
x. tan x- ln|secx |
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Question # 17
A and B throw a dice. The probability that A's throw is not greater then B's is
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5 / 12
7 / 12
1 / 6
1 / 2
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Question # 18
The number of subsets of B = {1,2,3,4,5}
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10
32
16
5
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Question # 19
The coefficient of the second term of (a+b)
4
is
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1
9
3
5
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Question # 20
x is a member of the set [-1, 0, 3, 5] y is a member of the set {-2, 1, 2, 4} which is possible?
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x - y = -6
x - y < -6
x - y > -6
None
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Question # 21
The complement of set A relative to universal set U is the set
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Question # 22
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Question # 23
What is the number of elements of the power set of {0, 1}
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1
2
3
4
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Question # 24
The point ________ is in the solution of the inequality 2x - 3y < 4
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(0, -2)
(1, -3)
(2, 2)
(3, 0)
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Question # 25
If n is a positive integer then n! is
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(n - 1) (n - 2) .....3,.2.1
n(n - 1) (n - 2) ...3.2.1
n(n - 1 ) ( n -2) ... 3
None of these
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Question # 26
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Question # 27
p(x) = 2x
4
- 3x
3
+ 2x - 1 is polynomial of degree
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1
2
3
4
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Question # 28
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Question # 29
Roots of the equation x
2
- 7x + 10 = 0 are
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{2, 5}
{-2, 5}
{2,5}
{-2,-5}
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Question # 30
The order of the matrix A is 3 x 5 and that of B is 2 x 3.The order of the matrix BA is
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2 x 3
3 x 2
2 x 5
5 x 2
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Question # 31
The point which divides the line segment joining the points (a, b) and (c, d) in the ratio 2 : 3 internally is
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none of these
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