GAT Subject Mathematics Mathematics Online Test Preparation for Pakistani Students

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GAT Subject Mathematics Mathematics

Try the GAT Subject Mathematics Mathematics.

  • Total Questions70

  • Time Allowed90

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GAT Subject Mathematics Mathematics

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Question # 1

If Sin θ =Cosθ then θ=

Question # 2

If f (x) = x/x2- 4 then which is not included in the domain of f(x)

Question # 3

d/dx ax is

Question # 4

The line joining (1,3) to (a,b) has unit gradient then

Question # 5

The length of rectangle is twice as much as its breadth. If the perimeter is 120 cm, the length of the rectangle is

Question # 6

If i,m,n are the direction cosines of a vector O̅P̅ then

Question # 7

The nth term of A,P:1,5,9,15...........is given by

Question # 8

What is the conjugate of -7 -2i ?

Question # 9

Sin x + Cos x=1 x=

Question # 10

Every prime number is also

Question # 11

If k1 : k2 = 1:1 then the point P dividing the line is

Question # 12

√23 is

Question # 13

The center of a circle of radius 10 is on the origin which of the following points lies with in the circle

Question # 14

If Cosθ =0, Then θ=

Question # 15

The conic is a parabola if

Question # 16

If a line passes through origin then the equation of the line is

Question # 17

If f1 (x) and f2  (x) are any two anti derivatives of a function F (x) then the value of f1 (x) = f2 (x)

Question # 18

The fifth term of the sequence an = 3n - 2 is

Question # 19

1/x2 -1 = ? (in case of making partial fraction)

Question # 20

Multiplicative inverse of "1" is

Question # 21

1+2+3+......+n=?

Question # 22

In general matrices do not satisfy

Question # 23

If α and β be irrational roots of a quadratic equation, then

Question # 24

The set of all positive even integers is

Question # 25

If p and r are integers P = 0, and p ≠ -r, which of the following must be true?

Question # 26

If the 9th tern of A.P is 8 and the 4th term is 20. then the first term is

Question # 27

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?

Question # 28

The vertices of the ellipse x2 + 4y2 = 16 are

Question # 29

If 2 Sin x Cos 2 x = Sin x then?

Question # 30

The associative angle of 280o is

Question # 31

If the sum of the roots of (a + 1)x2 + (2a + 3)x + (3a + 4) = 0 is -1, then product of the roots is

Question # 32

Which is not included in the domain of Cos-1 x

Question # 33

The set {1, -1, i, -i}, form a group under

Question # 34

A sequence of numbers whose reciprocals forms an arithmetic sequence is called

Question # 35

If 4 - x > 5, then

Question # 36

The multiplicative inverse of -1 in the set {1-,1} is

Question # 37

If any two rows (or any two columns) of a square matrix are inter changed, the determinant of the resultant matrix is

Question # 38

120° degrees are equal to how many radians?

Question # 39

Graph of the equation X2 + y2 = 4 is

Question # 40

If you looking a high point from the ground then the angle formed is

Question # 41

The complement of set A relative to universal set U is the set

Question # 42

The equation of the line with gradient 1 passing through the point (h,k) is

Question # 43

In 30,60,90 triangle if the smallest side is 6 than the side opposite to the angle of 60o is

Question # 44

ω88 = ?

Question # 45

If 1 + Cos x = 0 then x =

Question # 46

The perpendicular bisector of any chord of a circle

Question # 47

If A and B are matrices of same order than (A + B)(A + B)=

Question # 48

Derivative of strictly increasing function is always

Question # 49

Given X, Y are any two sets such that number of elements in X=28, number of elements in set Y=28, and number of elements in set X∪Y=54, then number of elements in set X∩Y=

Question # 50

If a and b are any two distinct negative real numbers and G-ab where A.G.H represent arithmetic geometric and harmonic means then

Question # 51

The equation of the normal to the circle x2 + 22 = 25 at (4,3) is

Question # 52

The cube roots of unity ω = -------------------------

Question # 53

If Sin-1 x + cos-1 y = π, then x and y are

Question # 54

Tan-1 1/x =______

Question # 55

If a rectangle has an area 81x2 and length of 27x. then what is its width?

Question # 56

The two different parts of the hyperbola are called is

Question # 57

The set of complex numbers forms a group under the binary operation of

Question # 58

If a cone is cut by a plane perpendicular to the axis of the cone then the section is a

Question # 59

x2 +2x -25 = 0 is

Question # 60

∫1/ax +b dx =

Question # 61

If f(x) : A → B and g (x) : A → B then Dom [f(x) + g(x)] is

Question # 62

The magnitude of a vector can never be

Question # 63

If A = [aij] and b = [bij] are the matrices of the order 3x3 then A-B=

Question # 64

If in isosceles right angled triangle one side is a then hypotenuse is

Question # 65

If A = (3,8) and B = (5,6) then the distance between A and B is

Question # 66

For any set X, X∪X is

Question # 67

Sin-1 √3/2 =?

Question # 68

A relation in which the equality is true only for some values of the unknown variable is called

Question # 69

The Domain of f(x) = log x is

Question # 70

The number of real roots in cube roots of 8 is ?

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