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ECAT Mathematics Online Test MCQs With Answers
Question # 1
What is the value of cos-1(1/2)?
Choose an answer
π/3
π/4
3π/2
π/6
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Question # 2
If two balls are drawn from a bag containing 3 white, 4 black and 5 red balls. Then the probability that the drawn balls are of different colours is
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1 / 66
3 / 66
19 / 66
47 / 66
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Question # 3
How many signals can be given by 5 flags of different colours, using 3 flags at a time
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120
60
24
15
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Question # 4
The curve f(x,y) = 0 has a central symmetry if
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f(-x,-y)=f(x,y)
f(x,-y)=f(x,y)
f(-x,y)=f(x,y)
f(-x,-y)≠f(x,y)
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Question # 5
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Question # 6
The5thand 13th terms of an A.P are 5 and-3 respectively The first term of the A.P is
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1
-15
9
2
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Question # 7
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Question # 8
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Question # 9
The equation of the sphere thro' the origin and making intercepts a, b, c on co-ordinate axes is
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x
2
+ y
2
+ z
2
+ ax + by + cz = 0
x
2
+ y
2
+ z
2
- 2ax - 2 by - 2 cz = 0
x
2
+ y
2
+ z
2
= a + b + c
x
2
+ y
2
+ z
2
- ax - by - cz =0
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Question # 10
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Question # 11
If A = {x / x ∈ R ∧ x
2
- 16 = 0} then A =
Choose an answer
- x
Infinite set
Φ
{-4,4}
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Question # 12
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Question # 13
The eccentricity of the conic 9x
2
- 16y
2
= 144 is
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4/5
5/4
4/3
3/4
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Question # 14
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 # 15
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A,. B, C are coincident
A, B, C are collinear
Both A and B
None of these
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Question # 16
H.M. between 3 and 7 is
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Question # 17
Which of the following is factor of p(x) =2x3 +3x2+3x+2 ?
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x+1
2x+1
3x+1
2x-1
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Question # 18
A box contains 10 red 30 white and 20 black marbles When a marble is drawn at random the probability that it is either red or white is
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1/6
1/3
1/2
2/3
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Question # 19
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Question # 20
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-3
-7
1
0
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Question # 21
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Question # 22
4
1+x
+ 4
1-x
= 10 is called
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Reciprocal equation
Exponential equation
Radical equation
None of these
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Question # 23
If A∩B=B, then n(A∩B) is equal to
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n(a)
n(a)+n(c)
n(c)
None of these
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Question # 24
Domain of cot
θ
is
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Question # 25
For every positive integers n 1+5+9+....+ (4n - 3) is
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n(2n - 1)
(2n - 1)
n - 1
n
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Question # 26
Domain of sec x is ______
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Question # 27
How many different 5-digit even numbers are possible form digit 1,2,4,6,8
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4 : 4!
4!
5!
4!+4!
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Question # 28
A matrix in which the number of rows is equal to the number of columns is called a
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Diagonal matrix
Rectangular matrix
Square matrix
Scalar matrix
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Question # 29
A number H is said to be the H.M. between a and b if a, H, b are in
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A.P.
G. P.
H. P.
None of these
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Question # 30
Choose an answer
2
-3/2
1
0
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Question # 31
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0
-2
1
4
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