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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
Choose an answer
-2x
3
2x
-3
-2x
-3
2x
3
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Question # 2
The roots of ax2 + bx + c = 0 are always unequal if
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b2 - 4ac = 0
b2- 4ac ≠ 0
b2- 4ac > 0
b2- 4ac ≥ 0
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Question # 3
A vector with magnitude one is called
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constant vector
unit vector
zero vector
null vector
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Question # 4
The number of the diagonals of a 6 sided figure is
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15
21
9
6
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Question # 5
The graph of a quadratic function is
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Circle
Ellipse
Parabola
Hexagon
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Question # 6
∀x,y,z ∈ R and z 0,then
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x > y ⇒ xz > yz
x<y ⇒ xz < yz
x < y ⇒ xz > yz
None of these
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Question # 7
Arithmetic mean between a and b is
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Question # 8
sec (-360°) = ______
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0
1
2
3
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Question # 9
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Question # 10
The positive value of k for which the equation x2 + kx + 64 = 0 has one of the roots 0
Choose an answer
4
64
8
All values of k
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Question # 11
If a,β are the roots of ax2+bx+c=0,the equation whose roots are doubled is
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ay2 +2by+c=0
ay2+2by+4c=0
ay2+2by+c=0
ay2+by+4c=0
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Question # 12
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sec x tan x
-cosec x cot x
sec
2
x
-sin x
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Question # 13
Cos
-1
12/13 =
Choose an answer
tan
-1
3/5
cot
-1
13/12
Sec
-1
13/12
sin
-1
5/13
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Question # 14
P∉ A means
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P
is subset of A
P
is an element of A
P does not belongs to A
A does not element of
P
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Question # 15
The value of sin
2
20° + sin
2
70° is equal to
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1
2
-1
1/2
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Question # 16
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Question # 17
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Question # 18
n
2
- 1 divisible by 8 when n is
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an odd integer
an even integer
Irrational
Prime Number
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Question # 19
(1, 1) is the in the solution of the inequality
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3x + 4y > 3
2x + 3y < 2
4x = 3y > 5
2c - 3y > 2
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Question # 20
Cofactor of an element aij denoted by Aij is
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(-2)i+j
Mij
(-1)i+j Mij
None of above
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Question # 21
Tan 3x tan 2x-tan x is equal to
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Tan x tan 2x tan 3x
-tan x tan 2x tan 3x
Tan x tan 2x - tan - tan x tan 3x - tan 2x tan 3x
None of these
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Question # 22
Period of Cotangent function is
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π
-π
0
-2π
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Question # 23
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Question # 24
1 + 2 + 3 + ...... + n = ______
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Question # 25
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Question # 26
The symbol of irrational is
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W
N
Q
Q
'
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Question # 27
The period of the function f(x) = sin
4
x + cos
4
x is
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π
π
/2
2
π
None of these
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Question # 28
nCn-r is equal to
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n!
n-1Cr
nCr
None of these
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Question # 29
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 # 30
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Question # 31
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none of these
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