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Online Tests
ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
The point of contact of the circles x
2
+ y
2
- 6x -6y+10 = 0 and x
2
+ y
2
=2 is
Choose an answer
(-3 ,2)
(1 , 3)
( -2 , -1)
None of these
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Question # 2
The range of the principal sine function is
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Question # 3
If a2 = b2 then
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a = b
a+b= 1
|a+b| =0
None
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Question # 4
If distance of (a,b) from x-axis is 2 then
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a = 2
b = 2
a = b
b = 4
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Question # 5
Sine rule for a triangle states that
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a/sin A = b/sin B = c/sin C
sin A/a = sin B/b = sin C/c
a/sin A + b/sin B + c/sin C
2a/sin A = 2b/sin B = 2c/sin C
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Question # 6
Choose an answer
0.9
0.74
0.2016
None of these
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Question # 7
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Question # 8
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Principle of equality of Fractions
Rule for product of fraction
Golden rule of fraction
Rule of quotient of Fraction
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Question # 9
Find a if 1 is a root of the equation x
2
+ ax + 2 = 0
Choose an answer
3
-3
2
0
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Question # 10
The mid point of the line segment joining the points (3,-1) and (-3,1) is
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(3,-1)
(0,0)
(2,2)
(4,4)
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Question # 11
Choose an answer
From an empty set
1
2
>2
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Question # 12
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Question # 13
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none of these
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Question # 14
The real numbers which satisfy an inequality form its
Choose an answer
solution
coefficient
domain
range
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Question # 15
The value of x which is unchanged by the mapping in the function defined by f ; x⟶ x
2
+ 5x -5 for x> 0 is
Choose an answer
1
5
-5
-1
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Question # 16
sin 2
α
=
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Question # 17
The graph of a linear function is
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a circle
triangle
a straight line
none of these
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Question # 18
If a polynomial p(x) is divided by x-c, then the remainder is
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p(x)
x-c
c
P(c)
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Question # 19
Choose an answer
x-axis
y-axis
z-axis
None of these
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Question # 20
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Question # 21
The set of rational number is represented by
Choose an answer
W
R
Q'
Q
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Question # 22
The graph of y> 0 is the upper - half of:
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y-axis
x-axis
1st and 4th quandrant
2nd and 3rd quadrant
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Question # 23
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Question # 24
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 # 25
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 # 26
if the value of the sphere, v =4/3πr
2
,
then the which of the following statement is true?
Choose an answer
r is the function of v
v is the function ofπ
π is independent variable
None of these
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Question # 27
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1
0
-1
2
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Question # 28
If (2,0) is the vertex and y-axis is directrix of parabola then focus is
Choose an answer
(2,0)
(-2,0)
(4,0)
(-4,0)
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Question # 29
The condition for polynomial equation ax
2
+ bx + c = 0 to be quadratic is
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Question # 30
If a statement S(n) is true for n = 1 and the truth of S(n) for n = k implies the truth of S(n) for = k + 1, then S(n) is true for all
Choose an answer
Real numbers n
Integers n
Positive integers n
None of these
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Question # 31
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