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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
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Question # 2
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3/4
-3/4
4/3
-4/3
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Question # 3
The first three terms in the expansion of (1 + x)
-2
are ______
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1 - 2x + 3x
2
1 - 2x - 3x
2
1 + 2x + 3x
2
-2 -2x + 3x
2
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Question # 4
tan(π-θ)=_____;
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tanθ
cotθ
-tanθ
-cotθ
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Question # 5
∀a,b, c ε R,a +c = b + c = > a = b
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Reflexive property
Symmetric property
Cancellations property w.r.t. addition
Transitive property
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Question # 6
The set {Z\{0}} is group w.r.t
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Addition
Multiplication
Division
Subtraction
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Question # 7
n(n - 1) (n - 2) .... (n - r + 1) = ______
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Question # 8
The probability of getting a number between 1 and 100 which is divisible by 1 and itself if only is
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1 / 4
1 / 2
3 / 4
25 / 98
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Question # 9
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0
-1
1
2
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Question # 10
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3x
2
+ 2
3x
2
+ 2x + 3
x
3
+ x
2
none of these
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Question # 11
If P, Q, R be the A.M., G.M., H.M. respectively between any two rational numbers a and b, then P - Q is
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Question # 12
Inverse of the function y-10x is
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y=logx
y=lnx
x=10y
x=10y
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Question # 13
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 # 14
The range of y=x2 + 1 is the set of non-negative real numbers except
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0≤ y < 1
0 < y < 1
0≤ y≤ 1
0 < y≤1
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Question # 15
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Additive property in R
Multiplication property in R
Cancellation property in R
Distribution property in R
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Question # 16
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cos x
sec x tan x
sec
2
x
-cosec
2
x
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Question # 17
Sin
-1
(-x)=
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Cos
-1
1/x
- Sin
-1
X
Cot
-1
X
None of these
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Question # 18
The point lying on the terminal rat of -270° is
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(1,0)
(0,-1)
(0,1)
(-1,0)
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Question # 19
If x = 1/x for x ∈ R then the value of x is
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±1
0
2
4
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Question # 20
Riaz, Saba. Maria, Shehzad are to give speeches in a class. The teacher can arrange the order of their presentation in
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4 ways
12 ways
256 ways
24 ways
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Question # 21
The axis of the parabola x
2
= 4ay is:
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y = 0
x = 0
x = -a
y = a
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Question # 22
The line 2x +√6y =2 is a tangent to the curve x2 -2y2 =4 The point of contact is
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(√6,1)
(2,3)
(7,-2√6)
(4,-√6)
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Question # 23
In the expansion of (a + x)
n
the sum of exponents of a and x in each term of the expansion is
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n + 1
n - 1
n
2n
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Question # 24
A Geometric Series is divergent only if
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|r|>1
|r|≥1
|r|=1
None of these
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Question # 25
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Question # 26
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none of these
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Question # 27
If the sum of co-efficient in the expansion of (a+b)
n
is 4096, then the greatest co-efficient in the expansion is
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1594
792
924
2924
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Question # 28
The vector i = [1,0] is called unit vector along:
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x-axis
y - axis
z- axis
Botha a and y-axis
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Question # 29
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0
1
-1
None of these
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Question # 30
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Question # 31
Every term of a G.P. is positive and also every term is the sum of two preceding terms. Then the common ratio of the G.P. is
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