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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
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3 sec
2
x
3 sec
2
3x
sec
2
3x
sec
2
x
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Question # 2
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Question # 3
x = ________ is in the solution of 2x - 3 < 0
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2
-2
3
4
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Question # 4
Area of
Δ
ABC=
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ab sin
α
1/2 ab sin
α
1/2 ac sin
γ
1/2 ac sin
β
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Question # 5
Two positive integers whose sum is 30 and their product will be maximum are
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12,18
10,20
15,15
14,16
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Question # 6
The symbol of irrational is
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W
N
Q
Q'
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Question # 7
Cos (cos4π/3)=
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π/2
π/3
2π/3
-π/3
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Question # 8
Two circles x2 +y2 +8x -9= 0 and x2+y2+6y +k =0 touchinternallyif the value of k is
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k = 9
k = ±9
k=-9
k=11
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Question # 9
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Square matrix
Row matrix
Symmetric matrix
Null matrix
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Question # 10
An expression involving any of the symbols <,>,
<
or
>
is called
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equation
inequality
linear equation
identity
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Question # 11
What is the conjugate of -6 -i
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-6 +i
6 + i
-6 -i
6 -i
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Question # 12
(fog)′(x) =f′(g(x))g′(x) is derivative by
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Chain rule
Reciprocal rule
Power rule
Product rule
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Question # 13
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 # 14
The number of subsets of B = {1,2,3,4,5}
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10
32
16
5
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Question # 15
f(x)g(x)- ∫g(x) f′(x) dx is equal to
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∫f(x)g′(x)dx
∫f′(x)g(x)dx
∫f′(x)g(x)′dx
∫f(x)g(x)dx
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Question # 16
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Question # 17
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0
1
-1
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Question # 18
A function f(x) is said to be the periodic function if for all x in the domain of f, there exists a smallest positive number p such the f(x + p) = ______
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f(p)
f(x)
f(o)
None of these
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Question # 19
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Question # 20
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 # 21
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Question # 22
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28 / 81
28 / 243
81 / 28
243 / 82
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Question # 23
If distance of (a,b) from origin is 5 then
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a
2
+ b
2
=5
a = 5
b = 5
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Question # 24
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a tan(ax + b) + c
- a tan(ax + b) + c
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Question # 25
f(x) = 2
x
+ 3 . 2
2x
+ 5 is
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trigonometric function
algebraic function
exponential function
logarithmic function
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Question # 26
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Associative property of addition
Commutative property of addition
Distributive property
Additive identity
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Question # 27
The angle between the vectors
u
= [-3 , 5] and
v
= [6 , -2] is:
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π/2
-3π/2
π
None of these
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Question # 28
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Question # 29
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0
1
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Question # 30
If Z
1
= 1+ i, Z
2
= 2+3i , then |Z
1
-Z
2
| =?
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√5
√7
-1-2i
√3
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Question # 31
x = sin
-1
3, then the value of sin x is
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√(3/2)
3
Not possible
-1
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