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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
Domain of sin x is ______
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Question # 2
The sum of even coefficient in the binomial expansion is
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2
n+1
2
n
2
n-1
2n
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Question # 3
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Question # 4
Roots of the equation 2x
2
- 7x + 3 = 0 are
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Rational
Irrational
Complex
None of these
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Question # 5
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 # 6
If S = {3,6,9,12.......}, then
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S = Four multiples of 3
S = Set of even numbers
S = Set of prime numbers
S = All multiples of 3
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Question # 7
The upper 3/4 the portion of a vertical pole subtends an angle tan
-1
3/5 at a point in the horizontal plane through its foot and at a distance 40 m from the foot. A possible height of the vertical pole is
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20 m
40 m
60 m
80 m
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Question # 8
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3 sec
2
x
3 sec
2
3x
sec
2
3x
sec
2
x
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Question # 9
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Question # 10
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Question # 11
The number of divisors of 1029, 1547 and 122 are in
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A.P.
G.P.
H.P.
None of these
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Question # 12
If P is a whole number greater than 1, which has only P and I are factors. Then P is called
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Wholw number
Prime number
Even number
Odd number
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Question # 13
Let A,B and C be any sets such that A∪B = A∪C and A∩ B = A∩ C then
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A = B
B = C
A≠ C
A ≠ B
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Question # 14
If 2x +y + λ =0 is normal to parabola y2 =-8x,λ= _____
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12
8
24
-24
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Question # 15
The axis of the parabola y
2
= 4ax is
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X = 0
Y = 0
X = y
X = -y
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Question # 16
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Parallel to the plane
At right angles to the plane
Lies in the plane
Meet the plane obliquely
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Question # 17
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Question # 18
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- cot 4x + c
cot 4x + c
tan 4x + c
- tan 4x + c
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Question # 19
If in a set of real no a is additive identity then
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a+a = 2a
a+a = 1
a+a = 0
None of these
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Question # 20
Two circle s1: x2+ y2 +2x- 2y- 7= 0: s2: x2+ y2- 6x+ 4y+ 9= 0
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Touch externally
Touch internally
Intersects each other
Do not intersects
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Question # 21
Rank of matrix [1 3 5 0] is
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1
3
2
4
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Question # 22
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2x + 3
x
2
+ 3 + c
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Question # 23
(x +a)(x +b)(x +c)(x +) = k, k≠0 is reducible to quadratic form only if
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a+b=c+d
a+c=b+d
a+d=b+c
All are correct
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Question # 24
A circle which touches one side of a triangle extermally and the other two sides produced is called
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In-circle
Circumcircle
e-circle
Point circle
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Question # 25
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none of these
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Question # 26
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Question # 27
∀ a ε R ∃ o ε R such that a + v = 0 + a = a is property of
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Commutative law of addition
Associative law of addition
Additive identity
Additive inverse
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Question # 28
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Question # 29
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Question # 30
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Question # 31
The sum even binomial coefficient of (3+2x)5 is ______term
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16
30
8
32
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