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ECAT Mathematics Online Test MCQs With Answers
Question # 1
When the angle between the ground and the sun is 30
𝜊
,flag pole costss a shadow of 40 mg long. the height of the top of the flag is
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25m
23m
12m
29m
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Question # 2
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Question # 3
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Question # 4
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Question # 5
If n is any positive integer then n
2
> n + 3 for
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Question # 6
The number of values of x in the interval [0, 5
π
] satisfying the equation 3 sin
2
x - 7 sinx + 2 = 0 is
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0
5
6
10
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Question # 7
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Question # 8
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Question # 9
{x|x∈R∧x≠x} is a
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Infinite set
Null set
Finite set
None of these
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Question # 10
The seventh term of (x3+1/x)8is
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71
-22
27
28
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Question # 11
The coordinates of the point that divides the join of A(-6,3) and B(5, -2) in the ratio 2:3 internally
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Question # 12
If the points (a,2b):(c,a+b):(2c-a,h) lie on the same line then
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h=2a
h=a+b
h=ab
h=ac
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Question # 13
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Question # 14
What is range of the function g (x) =|x-3|?
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[0 ,∞ )
(0 ,∞)
(-∞ ,3]
[0,∞)
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Question # 15
Every natural number is
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A prime number
An irrational number
An integer
An even number
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Question # 16
Domain of 1+cot2θ=csc2θ is
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[0,π]
R-{x/x=nπ,n∈ z}
(-∞,+∞)
[-1,1]
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Question # 17
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Question # 18
A prime number can be a factor of a square only if it occurs in the square at least
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Once
Thirce
Twice
None of these
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Question # 19
3x + 4
<
0 is
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not inequality
equation
identity
inequality
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Question # 20
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Question # 21
Two circles x2 +y2 +8x -9= 0 and x2+y2+6y +k =0 touchinternallyif the value of k is
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k = 9
k = ±9
k=-9
k=11
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Question # 22
If a, b, c are in AP., a, b, c are in G.P. then A, m
2
b, c are in
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A.P.
G.P.
H.P.
None of these
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Question # 23
If E = { } , then P(E)
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∅
{ }
{(2),(4),(6)....}
(∅)
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Question # 24
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Question # 25
e-radii are denoted by
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η
r2
r3
All of these
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Question # 26
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Question # 27
A function whose range is just one element is called
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One-one function
Constant function
Onto function
Identity function
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Question # 28
The tangents drawn from the point P to a circle are real and distinct if
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P is on the circle
P is inside the circle
P is outside the circle
none of these
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Question # 29
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0
-2
1
4
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Question # 30
A polynomial of arbitrary degree
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f(x) = o
f(x) = x
f(x) = a
f(x) = ax + b,a ≠ 0
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Question # 31
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1/x
-x
2x
0.5 x
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