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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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Question # 2
The set {-1, 1} is
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Group under the multiplication
Group under addition
Does not form a group
Contains no identity element
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Question # 3
f(x)g(x)- ∫g(x) f′(x) dx is equal to
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∫f(x)g′(x)dx
∫f′(x)g(x)dx
∫f′(x)g(x)′dx
∫f(x)g(x)dx
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Question # 4
The points A(3,1),B(-2,-3),C(2,2) are vertices of an (an)
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Right triangle
Equilateral triangle
Isosceles triangle
Scalene triangle
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Question # 5
If Projvu = Projuv, then
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Uand vare parallel
|u|=|v|
Uandvre perpendicular
One ofuorv
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Question # 6
Out of 10, 000 families with 4 children each, the number of families all of whose children are daughters is
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375
500
625
150
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Question # 7
The positive value of k for which the equation x2 + kx + 64 = 0 has one of the roots 0
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4
64
8
All values of k
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Question # 8
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2
x
2
x
In x
2
x
In 2
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Question # 9
tan 294° =______;
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tan 24°
-tan 24°
cot 24°
-cot 24°
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Question # 10
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3/4
-3/4
4/3
-4/3
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Question # 11
If a,b,c are three non-coplanar vector then [a +b,b +c,c +a] = _____
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[a.b.c]
2[a,b,c]
[abc]-2
2[abc]2
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Question # 12
The standard form of the quadratic function f(x) = -x
2
+4x+2, is
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(x-2)
2
+6
-(x-2)
2
+ 6
(x-3)
2
+5
(x+4)
2
-7
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Question # 13
The harmonic mean between a and b is
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Question # 14
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Linear equation
Quadratic equation
Cubic equation
None of these
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Question # 15
If 3x
4
+ 4x
3
+ x - 5 is divided by x + 1, then the reminder is
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0
7
-7
5
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Question # 16
If a and b are real numbers then a+b is also real number this law is called
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associative law of addition
closure law of addition
Distributive law of addition
Commutative law of addition
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Question # 17
Write down the power set of {9, 11}
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Question # 18
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15/23
7/15
7/8
15/7
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Question # 19
If the terminal rays of an angle falls on any axis then the angle is called
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Allied angle
Acute angle
Standard position
Quadrantal angle
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Question # 20
The domain of y =√(x^2-9) is
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R
(0 , +∞)
(-∞ , -3 )∪ (3 , +∞)
(0 ,∞)
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Question # 21
The value of n, when
n
P
2
= 20 is
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3
4
6
5
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Question # 22
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Question # 23
(1, 1) is the in the solution of the inequality
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3x + 4y > 3
2x + 3y < 2
4x = 3y > 5
2c - 3y > 2
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Question # 24
(1, 2) is in the solution of the inequality
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2x + y > 8
2x + y
<
6
2x - y > 1
2x + 3y < 2
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Question # 25
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Question # 26
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Question # 27
Given two numbers a and b. Let A denote the single A.M. between these and S denote the sum of n A.M.'s between them. Then S/A depends upon
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n, a, b
n, a
n, b
n
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Question # 28
The radius of the circle (x - 1)
2
+ (y + 3)
2
= 61 is
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8
4
64
None of these
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Question # 29
Trival solution of homogeneous linear equation is
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(0, 0, 0)
(1, 2, 3)
(1, 3, 5)
a.b and c
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Question # 30
Inverse of the function y-10x is
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y=logx
y=lnx
x=10y
x=10y
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Question # 31
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