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ECAT Mathematics Online Test MCQs With Answers
Question # 1
The point lying on the terminal rat of -270° is
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(1,0)
(0,-1)
(0,1)
(-1,0)
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Question # 2
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Question # 3
The lines l1and l2intersect. The shortest distance between them is
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Positive
Negative
Zero
Infinity
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Question # 4
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Question # 5
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Question # 6
If a cone is cut by a plane perpendicular to the axis of the cone, then the section is a
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parabola
circle
hyperbola
ellipse
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Question # 7
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π
/ 2
π
/ 3
π
/ 4
π
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Question # 8
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Question # 9
If A = [a
ij
] is (m x n) matrix, then transpose of A is of the order
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m x m
m x n
n x n
n x m
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Question # 10
If (2, 3) and (2, 5) are end points of a diameter of a circle, then the centre of the circle is
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(2, 4)
(4, 8)
(0, 2)
(0, -2)
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Question # 11
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Question # 12
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direction ratios
direction cosines
direction angles
none of these
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Question # 13
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Question # 14
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Question # 15
The probability to get an odd number in a dice thrown once is
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6
1
1/6
1/2
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Question # 16
The number of words that can be formed out of the letters of the word ASSASSINATION is
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Question # 17
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 # 18
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Question # 19
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3K
K2
K3
K
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Question # 20
If y = sin (ax + b), then fourth derivative of y with respect to x =
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a
4
cos (ax + b)
a
4
sin (ax + b)
-a
4
sin (ax + b)
a
4
tan (ax + b)
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Question # 21
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Question # 22
s > t then
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(s - t)
2
> (t - s)
2
(s - t)
2
< (t - s)
2
(s - t)
2
= (t - s)
2
None
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Question # 23
The general term of the A.P. is
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a
1
+ (n - 1) d
n + (a
1
- 1) d
d + (n - 1) a
1
None of these
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Question # 24
2x
3
+ 3x + 9 is a ______
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Polynomial of degree 3
Quadratic equation
Cubic equation
Polynomial of degree 2
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Question # 25
The angle between the vectors 3i + j - k and 2i - j + k is
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Question # 26
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Question # 27
The probability that a slip of number divisible by 4 is picked from the slips bearing numbers 1, 2, 3, ...10 is
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1/5
1/4
1/3
1/2
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Question # 28
There may be ______ feasible solution in the feasible region
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Infinite
Finite
Defined
None of above
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Question # 29
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Question # 30
The coefficient of the third term of (8a-b)
1/3
, after simplification is
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-228
1/288
1/220
-1/177
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Question # 31
For any real numbers x,y,xy=o ⇒
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x ≠ 0 ∧ y ≠ 0
x = 0 ∨ y = 0
x = 0
y = 0
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