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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
cos (
α
+
β
) + cos (
α
-
β
) =
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4 cos
α
cos
β
2 cos
α
cos
β
2 sin
α
sin
β
2 sin
α
cos
β
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Question # 2
If n is any positive integer then n
2
> n + 3 for
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Question # 3
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2x cos x2
2sinxcosx
- sin x2
2x sin x2
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Question # 4
a >b ⇒a +c >b +c is known as
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Trichotomy property
Additive property of inequality
Transitive property
Multiplicative property
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Question # 5
If f(x) = x
2
then f(2) is
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-2
2
4
-4
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Question # 6
The nth term of an A.P., is 12-4n. Its common difference is
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8
4
4
16
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Question # 7
Range of cos
θ
is
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Question # 8
cos h
2
x + sin h
2
x
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an even function
an odd function
an even and implicit function
neither even nor a odd
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Question # 9
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6
20
0
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Question # 10
If #n = (n-5)2 + 5, then find #3 x #4.
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54
12
4
9
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Question # 11
θ and 2kπ+θ are the ________ angles
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Quadrantal angles
Coterminal
Allied
None
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Question # 12
If A is an event then which of the following is true
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P(A)<0
0≥P(A)≤1
P(A)>0
None
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Question # 13
If p and q are two statements then their biconditional 'p if q' is denoted by
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Question # 14
The span of a standard parabola depends upon
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x
a
y
y2
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Question # 15
If
∀a,b ε R,then a +b ε R is a property
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Closure law of addition
Associative law of addition
Additive inverse
Additive identity
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Question # 16
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1
-1
5
2
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Question # 17
The roots of the equation 2
2x
- 10.2
x
+ 16 = 0 are
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2, 8
1, 3
1, 8
2, 3
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Question # 18
The tangent to the parabola y2 =4ax and perpendicular line from the focus on it meet
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x =0
y =0
x =-9
y = -a
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Question # 19
A vector of magnitude zero is called
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Position vector
Null vector
Free vector
None of these
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Question # 20
The straight lines represented by the equation ax2+ 2hxy +by2 =0 intersects at
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(1,1)
(0,1)
(1,0)
(0,0)
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Question # 21
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A is proper subset of B
A is an improper subset of B
A is equivalent to B
B is subset of A
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Question # 22
If a polynomial P(x) is divided by x + a, then the remiander is
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P(a)
P(-a)
P(0)
None of these
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Question # 23
Zero is
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An irrational number
A rational number
A negative integer
A positive number
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Question # 24
The behavior of trigonometric function is called
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Continuity
Discontinuity
Periodicity
Smoothness
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Question # 25
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0
1
2
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Question # 26
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1
-i
i
0
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Question # 27
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 # 28
The principal value of sin
-1
(-1/2)
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π/3
π/4
π/6
-π/6
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Question # 29
(a,b) +(-a,-b) =
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(0,0)
(a,b)
(-a,-b)
(1,1)
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Question # 30
202.04 is an example of
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Recurring decimals
Non-recurring decimals
Terminating decimals
None of above
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Question # 31
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