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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
Geometric mean between a and b is
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Question # 2
Circle x
2
+ y
2
- 2y -y = 0 and x
2
+ y
2
- 8y -4 =0:
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Interesect
touch externally
touch internally
do not touch
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Question # 3
Which of the following sets has closure property w.r.t. addition
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{ 0 }
{ 1 }
{ 0, -1}
{ 1, -1}
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Question # 4
Domain of cosh x is
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R
R -{0}
[1,∞)
[0,∞)
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Question # 5
The exact value of cos-1 (0) is
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π/2
-π/2
3π
π-π/6
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Question # 6
Through how many radians does the minute hand of a clock turn in one hour
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Question # 7
The√ is used for the
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Positive square root
Negative square root
+ve and -ve square root
Whole number
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Question # 8
The number of 5-digit number that can be formed from the digits 1,2,4,6,8, when 2 and 8 are never together is
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72
48
144
20
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Question # 9
Derivative of strictly increasing function is always
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Zero
Positive
Negative
Both (A) and (B)
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Question # 10
(x + 2)
2
= x
2
+ 4x
+ 4 is
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A linear equation
A cubic equation
A quadratic equation
None
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Question # 11
The contra positive of p → q is
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q → p
~q→~q
~p→~q
None of these
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Question # 12
I f a =5i + 2j, then|a| =
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√13
√7
1/√13
√29
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Question # 13
If a force F = 2i + j +3k acts at point (1,-2,2) of a body then the moment of F about a pint lying on the line of action of the force is
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5
Equal to the moment of the force about origin
0
Cannot be found
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Question # 14
If x,y are two -ve distinct numbers then
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A>G>H
A<G<H
A=G=H
None of these
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Question # 15
Choose an answer
25
16
5
0
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Question # 16
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16
None of these
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Question # 17
(x-1) is a factor of
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2x
3
-3x
2
+9
2x
3
-5x-8
48x
2-
46x-9
x
9
-1
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Question # 18
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Polynomial of degree 0
Polynomial of degree 1
Polynomial of degree 2
Polynomial of degree n
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Question # 19
x
2
+ x - 5 = 0 is
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A polynomial
An inequality
An identity
None
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Question # 20
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x =0, y =4
x = -1, y = 2
x = 2, y = 3
x = 3, y = 4
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Question # 21
The value of x, and y, when (x + iy)
2
= 5 + 4i
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X = 2, y = -1
X = -2, y=1
X = 2, y = -1
X = 2, y = 2
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Question # 22
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The law of of sines
The law of tangents
The law of consines
None of these
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Question # 23
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The law of consines
The law of sines
The law of tangents
None of these
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Question # 24
The slope of the normal at (5 cos, 0, 5 sin 0) to the circle. x
2
+y
2
= 25 is:
Choose an answer
tan𝜽
cos𝜽 /sin𝜽
-cot𝜽
- tan𝜽
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Question # 25
For different values of k equation 4x+5y =k represents
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Parallel lines
Lines parallel to x -axis
Perpendicular lines
Lines parallel to y -axis
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Question # 26
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x
3
3x
2
3x
3
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Question # 27
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Question # 28
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0
1
-1
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Question # 29
The fifth term of the sequence a
n
= 2n + 3 is ______
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13
-13
8
3
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Question # 30
If f(x) = tan x then f(0) is
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0
1
1/2
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Question # 31
The sum of an infinite geometric series exist if
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| r | < 1
| r | > 1
r = 1
r = -1
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