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ECAT Mathematics Online Test MCQs With Answers
Question # 1
Choose an answer
none of these
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Question # 2
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Question # 3
If θ be angle between u,v and u,v determine the sides of a triangle then the third side opposite to angle θ has length
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|u+v|
|u|+|v|
|u-v|
|u|-|v|
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Question # 4
The domain of the function y = sin x , is
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-π/2≤ x≤ π/2
π/ ≤ x≤ π
-2π ≤ x≤ 2π
-1 ≤ x≤ 1
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Question # 5
A number A is called the arithmetic mean between a and b if a, A, b is ______
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Arithmetic sequence
Geometric sequence
Harmonic sequence
Arithmetic sequence
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Question # 6
If B-A≠φ , then n(B-A) is equal to
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n(a)+n(c)
n(c)-n(a)
n(a)-n(c)
None of these
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Question # 7
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-1
0
1
undefined
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Question # 8
The zero vector is regarded to be parallel to
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Every vector
Is some cases
Both a,b
None
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Question # 9
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0
1
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Question # 10
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Question # 11
The points (x, y) which satisfy a linear inequality in two variables x and y from its
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domain
range
solution
none of these
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Question # 12
(a,0) x (c,0) =
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(0,ac)
(ac,0)
(0,0)
(a,c)
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Question # 13
i
is equal
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(1 , 0)
(0 , 1)
(1 , 1)
(0 , 0)
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Question # 14
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5
10
20
30
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Question # 15
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 # 16
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12
13
14
15
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Question # 17
F(x) = x
x
decreases in the interval
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(0, e)
(0, 1)
(-
∞
,0)
None
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Question # 18
If the circumference of a circle is divided into 360 congruent parts, the angle subtended by one part at the centre of the circle is
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1
0
1'
1"
1 rad
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Question # 19
There may be ______ feasible solution in the feasible region
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Infinite
Finite
Defined
None of above
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Question # 20
Which of the following is a quadrantal angle
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100°
200°
170°
270°
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Question # 21
If x,y are two positive distinct numbers then
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A>G>H
A<G<H
A=G=H
None of these
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Question # 22
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Question # 23
The value of sin 28°cos 17°+cos 28°sin 17°is
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Question # 24
How many arrangements of the letter of the word PAKPATTAN can be made
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Question # 25
The sample space for tossing a coin once is
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{T, T}
{H, H}
{H, T}
None of these
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Question # 26
i
101
=
Choose an answer
i
i
2
-i
-1
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Question # 27
A function f(x) is said to be the periodic function if for all x in the domain of f, there exists a smallest positive number p such the f(x + p) = ______
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f(p)
f(x)
f(o)
None of these
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Question # 28
If S = {3,6,9,12.......}, then
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S = Four multiples of 3
S = Set of even numbers
S = Set of prime numbers
S = All multiples of 3
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Question # 29
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Cos 2x = sin 4y
Cos 4y = cos 2x
Cos 3y = sin 4x
None of these
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Question # 30
I f the focus is F ( 0,-a) and directrix is the line v=a, then equation of the parabola is:
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x
2
= 4ay
y
2
= 4ax
y
2
= -4ax
x
2
= 4ax
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Question # 31
What is the period of cos 6x =?
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π/2
π/3
π/4
π
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