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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The number of standard parabolic functions are is
Choose an answer
4
2
3
1
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Question # 2
Which element is the additive inverse of (a, b) in Complex numbers?
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(a, 0)
(0, b)
(a, b)
(-a, -b)
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Question # 3
The middle term of (x-y)
8
is
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25 x
4
y
4
70 x
4
y
4
120 x
4
y
4
97x
4
y
4
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Question # 4
If |αi + (α+1)j +2k| =3 then value of α is
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1,2
-1,-2
1,-2
-1,2
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Question # 5
The last term of (1+2x)-2
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(-1)-2 (2x)-2
(-1)-4(-2x)-2
(-1)-3(2x)-3
Does not exist
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Question # 6
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images
pre-images
constants
none of these
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Question # 7
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Question # 8
The different of tan x is
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sec2 x
ln |sec x|
sec2 xdx
-cos ec2 x
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Question # 9
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sec 3x + c
- cosec 3x + c
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Question # 10
Sec 30° = ______
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Question # 11
∀a,b,c∈R, a >b ∧ b>c ⇒ a >c is
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Trichotomy property
Transitive property
Symmetric property
Additive property
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Question # 12
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Question # 13
Which of the following is not a unit vector
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[1, 1, 1]
[0, 1, 0]
[0, 0, 1]
[1, 0, 0]
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Question # 14
Number of terms in the expansion of (a+x)
n
is
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n - 1
n + 1
n + 2
n + 3
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Question # 15
The mid point of the line segment joining the points (4,0) and (0,4) is
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(4,4)
(2,2)
(-4,-4)
(-2,-2)
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Question # 16
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Question # 17
There are 16 point in a plane, in which 6 are collinear. how many lines can be drawn by joining these points?
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10
66
71
106
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Question # 18
If the roots of x
2
+ ax + b = 0 are non-real, then for all real x, x
2
+ ax + b is
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Negative
Positive
Zero
Nothing can be said
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Question # 19
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0
-1
1
2
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Question # 20
The matrix A = [aij]mxn with m≠n is
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Rectangular
Symmetric
Square
None
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Question # 21
The number of words that can be formed out of the letters of the word ASSASSINATION is
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Question # 22
In any triangle ABC,with usual notationαsinβ =____;
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b sinα
bsinβ
αsinα
None of these
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Question # 23
(0,1) is in the solution of the inequality
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3x + 2y > 8
2x - 3y < 4
2x + 3y > 5
x -2y < -5
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Question # 24
If S and P are the sum and the product of roots of a quadratic equation, then the quadratic equation is
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x
2
+ Sx - P = 0
x
2
- Sx + P = 0
x
2
- Sx - P = 0
X
2
+ Sx + P = 0
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Question # 25
If w+w2 is a root of (x+1)(x+2)(x+3)(x+4) = k, then
Choose an answer
k=0
k=1
k=w
k=w2
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Question # 26
(7,9) +(3,-5) =
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(4,4)
(10,4)
(9,-5)
(7,3)
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Question # 27
∀a,b ε R, ab = be is a
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Commutative law of multiplication
Closure law of multiplication
Associative law of multiplication
Multiplicative identity
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Question # 28
The square root of every incomplete square is an
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Rational numbers
Even numbers
odd numbers
Irrational numbers
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Question # 29
The set {-1, 1} is
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Group under the multiplication
Group under addition
Does not form a group
Contains no identity element
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Question # 30
The st. lines whose direction cosines satisfy al + bm + cn = 0, fmn + gnl + hlm=0 are perpendicular if
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Question # 31
The equation of the line perpendicular to x- axis and passing through (-5,3) is
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y -3 =0
x+ 3 =0
y- 3 =∞
x +5 =0
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