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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
tan
θ
/2
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Question # 2
2
π
+
θ
will have terminal side in Quad
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I
II
III
IV
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Question # 3
(1 + 2x)
4
= ______
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1 + 4x + 6x
2
+ 4x
3
+ x
4
1 - 4x + 6x
2
- 4x
3
+ x
4
1 - 8x + 24x
2
- 32x
3
+ 16x
4
1 + 8x+ 24x
2
+ 32x
3
+ 16x
4
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Question # 4
a.a
-1
= a
-1
.a = 1 is a
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Commutative law of multiplication
Multiplicative identity
Associative law of multiplication
Multiplicative inverse
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Question # 5
The points (5, 2, 4)(6, -1, 2) and (8, -7, k) are collinear if k is equal to
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-2
2
3
-1
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Question # 6
The set { 1 , -1} is closed w.r.t.
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Addition
Multiplications
Subtraction
None of these
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Question # 7
The equation of the circle witch centre (-3, 5) and radius 7 is
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(x-3)
2
+ (y+5)
2
= 7
2
(x-3)
2
+ (y-5)
2
= 7
2
(x+3)
2
+ (y+5)
2
= 7
2
(x+3)
2
+ (y-5)
2
= 7
2
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Question # 8
Choose an answer
X = 100 sin
θ
X = 10 sin
θ
X = 100 sec
θ
None of these
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Question # 9
If the circle x
2
+ y
2
+ 2gx +2fy + c = 0 passes through the origin then
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c = 0
c = -1
c = -2
c = 1
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Question # 10
A fraction in which the degree of the numerator is greater than or equal to the degree of the denominator is called
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A proper fraction
An improper fraction
An equation
An identity
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Question # 11
The sixth term of the sequence 1,3,12,60....is
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1500
72
2160
2520
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Question # 12
6 is
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A prime integar
An irrational number
A rational number
An odd integer
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Question # 13
In quadratic equation f(x) = ax
2
,if a >0, then the graph of parabola
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Opens up
Opens down
close up
symmetric w.r.t.x.axis
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Question # 14
In one hour, the minute hand of a clock turns through
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Question # 15
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Question # 16
If A∩B=B, then n(A∩B) is equal to
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n(a)
n(a)+n(c)
n(c)
None of these
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Question # 17
If A, G, H are the arithmetic, geometric and harmonic means between a and b respectively then A, G, H are in
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A. P.
G. P.
H. P.
None of these
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Question # 18
The number of combinations of 10 different objects taken 8 objects at a time is
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90
45
55
50
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Question # 19
If the angle of a triangle are in the ratio 2 : 3 : 7, the triangle is
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Obtuse
Acute
Right angle
Isosceles
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Question # 20
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0
-2
1
4
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Question # 21
The set of complex numbers forms a group under the binary operation of
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Addition
none of these
Division
Subtraction
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Question # 22
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Question # 23
The equation of line passing through intersection of line x = 0 and y = 0 and the point (2,2) is
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y = x
y = x - 1
y = x + 1
y = x + 1
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Question # 24
One second is denoted by
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1
0
1'
1"
1 rad
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Question # 25
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Polynomial of degree 0
Polynomial of degree 2
Quadratic equation
None of these
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Question # 26
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sin x + c
-sin x + c
cos x + c
-cos x + c
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Question # 27
sin
2
α
cos
2
α
=
Choose an answer
-1
0
1
None of these
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Question # 28
There is no element common in
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N and W
E and W
N and O
Q and Q'
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Question # 29
p(x) = 2x
4
- 3x
3
+ 2x - 1 is polynomial of degree
Choose an answer
1
2
3
4
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Question # 30
The symbol ______ shall be used both for equation and identity
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Question # 31
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2
6
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