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GAT Subject Mathematics Mathematics MCQs With Answers
Question # 1
The set of the first elements of the ordered pairs forming a relation is called its
Choose an answer
-x
does not exist
1/x
0
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Question # 2
The sum of the ages of Nazish and his son is 56 years. Eight years ago. Nazish was 3 time as old as his son. How old is the son now?
Choose an answer
m = n
m ≠ n
mn = 1
mn = 0
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Question # 3
Sin 720° = ________
Choose an answer
1
0
2
1/2
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Question # 4
The end points of the major axis of the ellipse are called its
Choose an answer
foci
Vertices
Co-vertices
eccentricity
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Question # 5
If Sin θ =Cosθ then θ=
Choose an answer
30°
45°
60°
90°
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Question # 6
Multiplicative inverse of "1" is
Choose an answer
4
3
2
1
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Question # 7
The sum of the series 1+5+9+13+17+21+25+29 is:
Choose an answer
10 cm
20 cm
30 cm
40 cm
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Question # 8
The average of first 100 integers is=
Choose an answer
50 1/2
25 1/4
100
5050
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Question # 9
How many different arrangements of the letters in the word QABABA are Possible?
Choose an answer
720
40
60
30
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Question # 10
If sin θ= 3/5 Cos θ=
Choose an answer
1/2
3/5
4/5
1
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Question # 11
The conic is a parabola if
Choose an answer
e <1
e > 1
e = 1
e = 0
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Question # 12
If f(x) : A → B and g (x) : A → B then Dom [f(x) + g(x)] is
Choose an answer
Dom f(x) ∩ Dom g (x)
Dom f(x) ∪ Dom g(x)
[Domf(x)]
2
- [Dom g(x)]
2
[Dom g(x)]
2
-[Domf(x)]
2
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Question # 13
The equation of the normal to the circle x
2
+ 2
2
= 25 at (4,3) is
Choose an answer
3x -4y =0
3x -4y= 5
4x + 3y=5
4x - 3y =25
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Question # 14
The nth term in G.P 3,-6,12,............ is
Choose an answer
25, 20
20, 10
20, 5
15, 10
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Question # 15
A relation in which the equality is true only for some values of the unknown variable is called
Choose an answer
An identity
An equation
A polynomial
Inverse function
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Question # 16
If in isosceles right angled triangle one side is a then hypotenuse is
Choose an answer
a√2
a/2
a
Cannot be determined by given
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Question # 17
The set {1, -1, i, -i}, form a group under
Choose an answer
addition
multiplication
subtraction
None
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Question # 18
What is the domain of y= Sin
-1
x?
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-1 ≤ x ≤1
1 ≤ x ≤ 1
0 ≤ x ≤ π
-π/2 ≤ x ≤ π/2
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Question # 19
Sum of integers starting from to n is
Choose an answer
n(n+1)/4
n(n+1)/6
n(n+1)/2
n(n-1)/2
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Question # 20
The circle (x -2)
2
+ (y + 3)
2
=4 is not concentric with the circle
Choose an answer
(x -2)
2
+ (y + 3)
2
=9
(x +2)
2
+ (y - 3)
2
=4
(x -2)
2
+ (y + 3)
2
=8
(x -2)
2
+ (y + 3)
2
=5
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Question # 21
If Z
1
= √-36, Z
2
=√-25, Z
3
= √-16, then what is the sum of Z
1
, Z
2
and Z
3
?
Choose an answer
√3 I
√7
-2-1
√5
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Question # 22
If Cosθ =0, Then θ=
Choose an answer
nπ/2
(2n + 1)π/2
(2n - 1)π/2
(n ±1)π/2
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Question # 23
Any point where f is neither increasing nor decreasing and f(x) =0 at that point is called a
Choose an answer
Minimum
Maximum
Stationary point
Constant
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Question # 24
If a cone is cut by a plane perpendicular to the axis of the cone then the section is a
Choose an answer
Parabola
Circle
Hyperbola
Ellipse
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Question # 25
Tan
-1
1/x =______
Choose an answer
Sin x
Sec
-1
X
Cot
-1
X
Sin Ix/cos- Ix
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Question # 26
Two natural numbers whose sum is 25 and difference is 5, are
Choose an answer
25, 20
20, 10
20, 5
15, 10
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Question # 27
If x < y, 2x = A and 2y = B then
Choose an answer
A =B
A < B
A< X
B < y
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Question # 28
If A = [a
ij
] and b = [b
ij
] are the matrices of the order 3x3 then A-B=
Choose an answer
Circle
Ellipse
Parabola
Hexagon
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Question # 29
Ab > 0 and a > 0 then
Choose an answer
a > b
a < b
a = b
None
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Question # 30
Given eight points in a plane no three of which are collinear how many lines do the points determine?
Choose an answer
16
64
28
36
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Question # 31
The graph of a quadratic function is
Choose an answer
Circle
Ellipse
Parabola
Hexagon
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Question # 32
Sin
-1
√3/2 =?
Choose an answer
2π/3
π/2
π/3
v/5
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Question # 33
If any two rows (or any two columns) of a square matrix are inter changed, the determinant of the resultant matrix is
Choose an answer
True
False
Fallacious
Some times true
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Question # 34
Sin
-1
x =?
Choose an answer
π/2- Sin
-1
x
π/2 -Cos
-1
x
-Sin
-1
x
-Cos
-1
x
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Question # 35
If P(E) is the probability that can event will occur then P(E)=
Choose an answer
1
0.5
2
0
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Question # 36
If 4 - x > 5, then
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x > 1
x > -1
x < 1
x < -1
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Question # 37
Which is an explicit function
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y = x
2
+2x -1
x
2
+xy +y
2
=2
xy
2
-y +9/xy =1
All are
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Question # 38
The direction cosines of y-axis are
Choose an answer
1,0,0
0,1,0
0,0,1
1,1,1
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Question # 39
If you looking a high point from the ground then the angle formed is
Choose an answer
Angle of elevation
Angle of depression
Right angle
Horizon
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Question # 40
A point of a solution region where two of its boundary lines intersect is called
Choose an answer
Boundary
Inequality
Half plane
Vertex
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Question # 41
The range of inequality x + 2 > 4 is
Choose an answer
(-1,2)
(-2,2)
(1,∞)
None
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Question # 42
1/x
2
-1 = ? (in case of making partial fraction)
Choose an answer
Ax +B/x
2
-1
A/x + B/ x- 1
A/ x+1 + B/x-1
None
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Question # 43
6 is
Choose an answer
A prime integer
An irrational number
A rational number
A odd integer
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Question # 44
x is a member of the set {-1,0,3,5} y is a member of the set {-2,1,2,4} which is possible?
Choose an answer
x- y =-6
x -y < -6
x -y > 6
None
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Question # 45
If a rectangle has an area 81x
2
and length of 27x. then what is its width?
Choose an answer
3x
9x
3x
2
9x
2
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Question # 46
What is the period of Cot x?
Choose an answer
2π
π
π/2
4π
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Question # 47
The two consecutive positive integers whose product is 56 are
Choose an answer
7, 8
14, 4
28, 2
56, 1
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Question # 48
If 1 + Cos x = 0 then x =
Choose an answer
π +2n π
π + nπ
π - nπ
π/2
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Question # 49
The vertices of the ellipse x
2
+ 4y
2
= 16 are
Choose an answer
(±,4,0)
(0,±,4)
(± 2,0)
(0,± 2)
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Question # 50
The line through the center and perpendicular to the transverse axis is called the
Choose an answer
Major axis
Minor axis
Focal axis
Conjugate axis
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Question # 51
One of the roots of the equation 2x
2
+ 3x + n = 0 is the reciprocal of the other, then n = --------------------
Choose an answer
Both A,B have the same number of columns
Both A,B do not have the same order
Number of col A is same as number of rows of B
Number of rows of A is same as number of col of B
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Question # 52
Domain of Cosecθ is
Choose an answer
is R but θ= nπ
is R but θ ≠ nπ
is R but θ ≠ 2nπ
is R but θ ≠ nπ/2
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Question # 53
The cube roots of unity ω = -------------------------
Choose an answer
1-i √-3 / 2
-1+i √-3 / 2i
-1+i √3 / 2
1+i √3 / 2
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Question # 54
If f
1
(x) and f
2
(x) are any two anti derivatives of a function F (x) then the value of f
1
(x) = f
2
(x)
Choose an answer
A variable
A constant
Undefined
Infinity
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Question # 55
Tan (π + Tan
-1
x) =?
Choose an answer
Tan x
X
-x
Cot
-1
x
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Question # 56
F(x) = xx decreases in the interval
Choose an answer
(0,e)
(0.1)
(-∞.0)
None
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Question # 57
Sin(a + b) + Sin(a- b) =
Choose an answer
Sin a Cos b
Sin a Sin b
Sin a + Cos b
Sin a - 2Cos b
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Question # 58
If A = (3,8) and B = (5,6) then the distance between A and B is
Choose an answer
2√2
2
1
6
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Question # 59
The perpendicular bisector of any chord of a circle
Choose an answer
Passes through the center of the circle
Does not pass through the center of the circle
May or may not pass through the center of the circle
None of these
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Question # 60
d/dx a
x
is
Choose an answer
xa
x-1
a
x
x in a
a
x
in a
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Question # 61
The value of the polynomial 3x
3
+ 4x
2
- 5x + 4 at x = -1 is
Choose an answer
A
2
+ B
2
A
2
+ B
2
+ 2AB
A + B
A
2
+ B
2
+ AB+BA
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Question # 62
Sin-1 (√2/2)=?
Choose an answer
π/2
π/3
3π/4
2π
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Question # 63
For which of the following ordered pairs (s,t) is s + t> and s- t < -3?
Choose an answer
(3,2)
(2,3)
(1,8)
(0,3)
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Question # 64
A die is thrown what is the probability that there is a prime number on the top?
Choose an answer
1/2
1/3
1/6
2/3
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Question # 65
If sinθ = 1 then θ =
Choose an answer
2nπ +π/2
2nπ
2π +n
Nπ +π/2
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Question # 66
Which of the following is not defined?
Choose an answer
Arcsin 1/9
ArcCos (-4/3)
Arctan 11/12
Arccot (-4)
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Question # 67
Area of ΔABC=
Choose an answer
ab sin α
1/2 ab sin α
1/2 ac Sin γ
1/2 ac Sin β
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Question # 68
The total cost of 2 apples and 3 oranges is $1.70,which of the following is true
Choose an answer
The cost of one apple
The cost of one orange
Both have equal cost per item
Cost of each single item can not be determined
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Question # 69
How many elements are in the sample space of two rolling dies
Choose an answer
6
12
18
36
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Question # 70
The mid point of the line joining (=1,-3) to(3,-5) is
Choose an answer
(1, 1)
(1,-1)
(2, -8)
(1, -4)
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