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ECAT Mathematics Online Test MCQs With Answers
Question # 1
E-radius corresponding to < C is
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Question # 2
The multiplicative inverse of 1 is
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1
-1
0
Does not exist
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Question # 3
The distance of the point (2,3) from origin is
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5
2
3
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Question # 4
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Question # 5
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Question # 6
The value of x which is unchanged by the mapping in the function defined by f ; x⟶ x
2
+ 5x -5 for x> 0 is
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1
5
-5
-1
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Question # 7
If 6th term of a series in A.P, is -2 and 8th term is -8, the first term of the serie is
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13
-13
18
-10
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Question # 8
The value of k (k > 0) for which the equation x
2
+ kx + 64 = 0 and x
2
- 8x + k = 0 both will have real roots is
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8
-16
-64
16
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Question # 9
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A
2
- 5A + 7I = 1
2A
2
- 3A + 7I = 0
A
2
- 5A + I = 0
A
2
- 5A + 7I = 0
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Question # 10
sin
-1
[-1/2] = ______
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Question # 11
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Question # 12
If x
4
- 10x
2
- 2x + 4 is divided by x + 3, then the reminder is
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1
0
4
None of these
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Question # 13
The third term in the expansion of (1+2x) is
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-2x2
-4x2
2x2
4x2
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Question # 14
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8
9
10
11
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Question # 15
cot
θ
= sin 2
θ
if
θ
=
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Question # 16
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16 / 7
6 / 17
7 / 16
None of these
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Question # 17
If a polynomial p(x) is divided by x-c, then the remainder is
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p(x)
x-c
c
P(c)
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Question # 18
If |a x b|2 + (a,b)2 = _____
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|a|2 + |b|2
|a|2- |b|2
|a|2|b|2
None
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Question # 19
Form a group of 5 men and 3 women, a committee of 4 persons is to be selected randomly. The probability that there is a majority of men is
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1/4
1/3
1/2
1/6
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Question # 20
tan h x = _________
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Question # 21
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Question # 22
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Question # 23
If the intersection of two sets is non-empty, but either is a subset of other are called
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Disjoint sets
Over lapping
Equal sets
None of these
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Question # 24
The multiplicative inverse of 4 is
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-4
-1/4
1/4
1
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Question # 25
Which of the following represents a vector
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(x, y)
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Question # 26
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none of these
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Question # 27
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1/x
-x
2x
0.5 x
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Question # 28
A non-homogeneous linear system AX = B has no solution if
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|A| = 0
|A|≠ 0
Rank (a) = no of variables
Rank > no of variables
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Question # 29
Name the property used in 4.1 + (-4.1) = 0
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Additive inverse
Multiplication inverse
Additive identity
Multiplication identity
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Question # 30
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Question # 31
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3 x 1
1 x 3
3 x 3
1 x 1
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