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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The third term of a G.P. is the square of first term. If the second term is 8, then the 6th term is
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120
124
128
132
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Question # 2
The distance between the points (0 , 0) and (2, 1) is
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5
0
3
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Question # 3
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Question # 4
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 # 5
The value of p for which both the roots of the equation 4x2- 20x + (25p2+ 15 p - 66) = 0 are less than 2, lies in
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Question # 6
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5
15
10
20
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Question # 7
A function of the form p(x)/Q(x) is called:
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Rational function
Logarithmic function
Exponential function
Hyperbolic function
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Question # 8
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cosec x + c
-cosec x + c
-sec x + c
sec x + c
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Question # 9
A - B = ______
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Question # 10
The graph of the quadratic equation is
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Straight line
Circle
Parabola
elipse
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Question # 11
The distance of the point (1.1) from the origin is
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0
2
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Question # 12
3x + 4 = 0 is
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not inequality
equation
identity
inequality
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Question # 13
If 2 tan
1
(cos x) = tan
-1
(cosec
2
x), then x is equal to
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π
/ 3
π
/ 2
π
/ 6
π
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Question # 14
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(a - c)
2
= b
2
- c
2
(a - c)
2
= b
2
+ c
2
(a + c)
2
= b
2
- c
2
(a + c)
2
= b
2
+ c
2
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Question # 15
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5
-5
none
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Question # 16
If a is any real number and a = a is called
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symmetric property
Trichotomy Properties
Transitive Property
Reflexive Properties
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Question # 17
i
=
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√1
√2
√-2
√-1
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Question # 18
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none of these
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Question # 19
The solution set of the equation 4 cos
2
x - 3 + 0 is
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none of these
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Question # 20
A statement which is either true or false is called
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Induction
Deduction
Propositicon
Logic
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Question # 21
If you are looking a high point from the ground, then the angle formed is
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Angle of elevation
Angle of depression
Right angle
Horizon
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Question # 22
i =
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Question # 23
Number of permutations of n distinct objects taken r(<n - 3) at a time which exclude 3(<n) particular objects is
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3! P(n, r - 3)
P(n, 3) P(n, r - 3)
P(r, r)P(n, r - 3)
P(n - 3, r)
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Question # 24
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 # 25
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Question # 26
Domain of cosec x is ______
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Question # 27
If B-A≠φ , then n(B-A) is equal to
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n(a)+n(c)
n(c)-n(a)
n(a)-n(c)
None of these
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Question # 28
The set of real roots of the equation log
(5x + 4)
(2x +3)
3
- log
(2x + 3)
(10x
2
+ 23x + 12) = 1 is
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{-1}
{-3/5}
Empty set
{-1/3}
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Question # 29
Range of tan
θ
is
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Set of complex numbers
Set of real numbers
Set of odd numbers
Set of positive integers only
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Question # 30
Through how many radians does the minute hand of a clock turn in one hour
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Question # 31
The domain of y = cos-1 x is
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-∞ < x < ∞
-1≤ x≤ 1
x≤ -1 or x ≥ 1
None of these
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