GAT Subject Mathematics MCQ's Test

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GAT Subject Mathematics MCQ's Test

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GAT Subject Mathematics MCQ's Test

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Question # 1

ω88 = ?

Question # 2

√23 is

Question # 3

What is the conjugate of -7 -2i ?

Question # 4

The curves y =x2, y= x interest at

Question # 5

The multiplicative inverse of x such that x = 0 is

Question # 6

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 # 7

Sin-1 x =?

Question # 8

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

Question # 9

The common difference of the sequence 7,4,1......is

Question # 10

A fraction in which the degree of the numerator is less than the degree of the denominator is called

Question # 11

If θ= 60° then

Question # 12

The end points of the major axis of the ellipse are called its

Question # 13

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

Question # 14

The two consecutive positive integers whose product is 56 are

Question # 15

Graph of the equation X2 + y2 = 4 is

Question # 16

The conic is a parabola if

Question # 17

The nth term in G.P 3,-6,12,............ is

Question # 18

If the vector 2i+4j-2k and 2i +6j+xk are perpendicular then x-7

Question # 19

In a school, there are 150 students. Out of these 80 students enrolled for mathematics class, 50 enrolled for English class, and 60 enrolled for Physics class. The student enrolled for English cannot attend any other class, but the students of mathematics and Physics can take two courses at a time. Find the number of students who have taken both physics and mathematics.

Question # 20

Every prime number is also

Question # 21

x-1/(x+2)(x-2) =

Question # 22

The average of first 100 integers is=

Question # 23

What is the domain of y = Cot-1 x?

Question # 24

2/(x+1)(x-1) = A/x+1 + B/x-1 corresponds to

Question # 25

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

Question # 26

P(x) = 2x4 -3x3 +2x-1 is polynomial of degree

Question # 27

The difference of two consecutive terms of an A.P is called

Question # 28

ωn = ?, when n = 3k

Question # 29

The degree of the polynomial 2x4 + 3x2 + 16x + 28 = x4 + 2x2 is

Question # 30

The magnitude of a vector can never be

Question # 31

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

Question # 32

π/3 is

Question # 33

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

Question # 34

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

Question # 35

If x2 +y2 = 4, Then dy/dx =

Question # 36

Sin 720° = ________

Question # 37

If Cnr, Pnr = 24:1 then r = ?

Question # 38

If Cosθ =0, Then θ=

Question # 39

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

Question # 40

8 > t then

Question # 41

AreCot √3 =?

Question # 42

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

Question # 43

A point of a solution region where two of its boundary lines intersect is called

Question # 44

(x+2)2 = x2 +4x +4 is

Question # 45

Which of the following is the subset of all sets ?

Question # 46

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

Question # 47

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

Question # 48

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

Question # 49

∫cot (ax + b) dx =

Question # 50

d/dx ax is

Question # 51

Sum of integers starting from to n is

Question # 52

Tan-1 1/x =______

Question # 53

Let A, B, and C be any sets such that A∪B=A∪C and A∩B=A∩C then

Question # 54

Period is Tan x/5 is

Question # 55

The number of ways in which we can courier 5 packets to 10 cities is

Question # 56

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

Question # 57

The direction cosines of y-axis are

Question # 58

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

Question # 59

The number of ways in which 5 distinct toys can be distributed among 3 children is

Question # 60

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

Question # 61

Cos-1 x =

Question # 62

Corola available in 5 models 8 colours and 3 sizes how many Corola must a local dealer have no hand in order to have one of each kind avialable?

Question # 63

If Z= (1,2). tjem Z-1 = ?

Question # 64

d/dx ∫x1 dx =________.

Question # 65

The mid point of the line joining (=1,-3) to(3,-5) is

Question # 66

The value of the polynomial 3x3 + 4x2 - 5x + 4 at x = -1 is

Question # 67

∫1/ax +b dx =

Question # 68

The sum of the series 1+5+9+13+17+21+25+29 is:

Question # 69

Cse π/3

Question # 70

Find the geometric mean between 4 and 16

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