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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
Choose an answer
6
20
0
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Question # 2
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Question # 3
If n is a positive integer then n! is
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(n - 1) (n - 2) .....3,.2.1
n(n - 1) (n - 2) ...3.2.1
n(n - 1 ) ( n -2) ... 3
None of these
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Question # 4
The tangent to the parabola y2 =4ax and perpendicular line from the focus on it meet
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x =0
y =0
x =-9
y = -a
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Question # 5
If Projvu = Projuv, then
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Uand vare parallel
|u|=|v|
Uandvre perpendicular
One ofuorv
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Question # 6
For trival solution |A| is
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A
|A| = 0
A = 0
|A|≠ 0
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Question # 7
Tan(
α
-
β
)=
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Question # 8
The angle of depression of the point at a distance 70 meters from the foot of the tower from the top of the tower is 45
𝜊
.The height of the tower is
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37m
97m
101m
70m
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Question # 9
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 # 10
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Question # 11
The distance of the point (2,3) from origin is
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5
2
3
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Question # 12
If the roots of 3x2+kx + 12 = 0 are equal then k = ______
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Question # 13
When we expand (a + 2b)
5
then
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a
5
+ 10a
4
b + 40a
3
b
2
+ 80a
2
b
3
+ 80ab
4
+ 32b
5
a
5
+ a
4
b + a
3
b
2
+ a
2
b
3
+ ab
4
+ b
5
5a
5
+ 4a
4
b + 3a
3
b
2
+ 2a
2
b
3
+ 1 ab
4
+ b
5
None
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Question # 14
The number of terms in the expansion of (a + x)
12
is
Choose an answer
13
12
11
10
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Question # 15
If d
1
is the distance between (0,0) and (1,2) and d
2
is the distance between (0,0) and (-1,-2) the
Choose an answer
d
1
< d
2
d
1
> d
2
d
1
= d
2
none of these
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Question # 16
In one hour the minute hand of a clock turns through
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Question # 17
Cofactor of an element a
ij
is defined by
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(-1)
i+j
|A|
(-1)
i+j
M
ij
(-1)
i+j
M
-1
None of these
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Question # 18
A line joining two distinct points on a parabola is called
Choose an answer
Axis
Directrix
Chord
Tangent
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Question # 19
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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Question # 20
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none of these
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Question # 21
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none of these
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Question # 22
The number of combinations of 10 different objects taken 8 objects at a time is
Choose an answer
90
45
55
50
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Question # 23
Roots of the equation x
2
- x = 2 are
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{2, -1}
{1, 0}
{2, 1}
{-2, 1}
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Question # 24
Coordinates of the focus of the parabola x
2
- 4x -8y-4=0 are:
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(0,2)
(,0,1)
(2,0)
(1,2)
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Question # 25
A circle passing through the vertices of any triangle is called
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Circumcirle
Incircle
Escribed circle
Unit circle
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Question # 26
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[0, 0, 0]
[1, 0, 0]
[0, 1, 0]
[0, 0, 1]
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Question # 27
n different objects can be arranged taken all at a time in ______
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(n + 1)! ways
(n - 1)! ways
n! ways
n ways
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Question # 28
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Question # 29
120°=______
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Question # 30
How many arrangements of the letters of the word ADDING can be made
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Question # 31
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