GAT Subject Mathematics Mathematics MCQ'S Test Preparation for Pakistani Students

Top Scorers Of GAT Subject Mathematics MCQ's Test MCQ`s Test

S

Sumaira Parveen 05 - Jul - 2024 20 Min 39 Sec 62/70
W

Waqas Bukhari 03 - Aug - 2024 31 Min 09 Sec 45/70
R

Rabial noor 23 - Jul - 2024 00 Min 25 Sec 41/70
I

Issra Batool 07 - Aug - 2024 34 Min 24 Sec 39/70
A

Ahsan Farooq 04 - Sep - 2024 31 Min 08 Sec 37/70
S

Siddiqa Jahangir 01 - Sep - 2024 26 Min 01 Sec 35/70
A

Ayesha Maqbool 08 - Dec - 2024 19 Min 12 Sec 34/70
N

Naveed Bhatti 24 - Jul - 2024 25 Min 17 Sec 34/70
S

sidra siddiqui 07 - Aug - 2024 27 Min 17 Sec 33/70
M

Mohammad Farhan Khan 24 - Jul - 2024 30 Min 51 Sec 33/70
T

Tanveer Ahmad Anjum 04 - Aug - 2024 16 Min 30 Sec 32/70
M

Mohammad Zain 30 - Jul - 2024 15 Min 07 Sec 31/70
M

Maham Jamil 25 - Jul - 2024 59 Min 02 Sec 31/70
A

Ayaz Ahmed 03 - Jul - 2024 21 Min 07 Sec 29/70
S

syed muhammad ali 20 - Jul - 2024 28 Min 51 Sec 29/70

Sr.#	Question	Answer
1	Sin(a + b) + Sin(a- b) =	A. Sin a Cos b B. Sin a Sin b C. Sin a + Cos b D. Sin a - 2Cos b
2	If Z₁ = √-36, Z₂=√-25, Z₃= √-16, then what is the sum of Z₁, Z₂ and Z₃ ?	A. √3 I B. √7 C. -2-1 D. √5
3	If f₁ (x) and f₂ (x) are any two anti derivatives of a function F (x) then the value of f₁ (x) = f₂ (x)	A. A variable B. A constant C. Undefined D. Infinity
4	Which of the following is solution of Tan² x = 1/3	A. 7π/6 B. 5π/6 C. π/6 D. All
5	If \|A\| ≠ 0 then A is called	A. 1 B. -1 C. ±1 D. 0
6	Which is not a half plane	A. ax + by < c B. ax + by > c C. Both A and B D. None
7	A sequence of numbers whose reciprocals forms an arithmetic sequence is called	A. Harmonic series B. Arithmetic series C. Harmonic sequence D. Geometric sequence
8	The angle a (0° < a< 180°) measured counterclockwise from positive x-axis to a non-horizontal straight line / is called the	A. Rotation B. Inclination C. Radian D. None
9	The area of circle of unit radius=	A. 0 B. 1 C. 4 D. π
10	The equation of the line with gradient 1 passing through the point (h,k) is	A. Y = x+ k-h B. Y = k/hx +1 C. Y = x + h -l D. Ky = hx =1
11	ω⁸⁸ = ?	A. A and B are multiplicative inverse of each other B. A and B are additive inverses of each other C. A and B are singular matrices D. A and B are equal
12	The mid point of the line joining (=1,-3) to(3,-5) is	A. (1, 1) B. (1,-1) C. (2, -8) D. (1, -4)
13	120° degrees are equal to how many radians?	A. π/3 radians B. 2π/3 radians C. π/4 radians D. π/2 radians
14	Sec^-1 x=	A. Cos^-1 1/x B. Cosec^-1 1/x C. Cos-1 (-x) D. Tan^-1 x
15	If a line passes through origin then the equation of the line is	A. y = m/x B. y = mx C. x = my D. None
16	If p and r are integers P = 0, and p ≠ -r, which of the following must be true?	A. p < r B. p > r C. p + r < 0 D. p - r < -0
17	The number of ways in which 5 distinct toys can be distributed among 3 children is	A. 3⁵ B. 5³ C. C⁵₃ D. P⁵₃
18	3/2 is	A. An irrational number B. Whole number C. A positive integer D. A rational number
19	The equation of the normal to the circle x² + 2² = 25 at (4,3) is	A. 3x -4y =0 B. 3x -4y= 5 C. 4x + 3y=5 D. 4x - 3y =25
20	The number of real roots in cube roots of 8 is ?	A. n x m B. m x n C. km x n D. m x kn
21	A relation in which the equality is true only for some values of the unknown variable is called	A. An identity B. An equation C. A polynomial D. Inverse function
22	The value of x, and y, when (x+iy)²=5+4i	A. X=2, y=-1 B. X=-2, y=1 C. X=2, y=-i D. X=2, y=2
23	The perpendicular bisector of any chord of a circle	A. Passes through the center of the circle B. Does not pass through the center of the circle C. May or may not pass through the center of the circle D. None of these
24	0 (zero) is	A. A irrational number B. A rational number C. A negative integer D. A positive number
25	Sin^-1 √3/2 =?	A. 2π/3 B. π/2 C. π/3 D. v/5
26	Sin^-1 (-x) =?	A. Sin^-1 x B. -Sin^-1 x C. Cos^-1 x D. -Cos^-1 x
27	The complement of set A relative to universal set U is the set	A. X B. X C. φ D. Universal set
28	8 > t then	A. (s -t) ²>(t -8)² B. (s -t) ²<(t -8)² C. (s -t) ²=(t -8)² D. None
29	If Cosα = 3/5, Cosβ = 5/13, then	A. Cos(α +β) =33/65 B. Sin(α +β) =56/65 C. sin²(α +β/2) =1/65 D. Cos(α +β) =63/65
30	Two matrices A and B are conformable for multiplication (AB) if and only if	A. Addition B. Multiplication C. Division D. Subtraction
31	If f(x) : A → B and g (x) : A → B then Dom [f(x) + g(x)] is	A. Dom f(x) ∩ Dom g (x) B. Dom f(x) ∪ Dom g(x) C. [Domf(x)]² - [Dom g(x)]² D. [Dom g(x)]²-[Domf(x)]²
32	The two consecutive positive integers whose product is 56 are	A. 7, 8 B. 14, 4 C. 28, 2 D. 56, 1
33	If Z₁ = 1+i, Z₂ = 2+3i, then \|Z₂-Z₁\|=?	A. √3 I B. √7 C. -2-1 D. √5
34	The multiplicative inverse of x such that x = 0 is	A. -x B. does not exist C. 1/x D. 0
35	If A and B are two events then P(A∪B) =? (when A and B are disjoint)	A. P(A) - P(B) B. P(A) x P(B) C. P(A) + P(B) D. P(A) + P(B) -P(A∩B)
36	Sin-1 (√2/2)=?	A. π/2 B. π/3 C. 3π/4 D. 2π
37	d/dx ∫x¹ dx =________.	A. 1/4 x⁴ B. X³ C. 3x³ D. x⁴/4
38	If A and B are matrices such that AB=BA=I then	A. A and B are multiplicative inverse of each other B. A and B are additive inverses of each other C. A and B are singular matrices D. A and B are equal
39	For any set X, X∪X is	A. 15 B. 15i C. -15i D. -15
40	d/dx (3y⁴) =	A. 12y³ dy/dx B. 8y³ C. 8y³ dy/dx D. 12y³
41	Which is in the solution set of 4x - 3y <2	A. (3,0) B. (4,1) C. (1,3) D. None
42	The difference of two consecutive terms of an A.P is called	A. Zero B. One C. Four D. Infinite
43	A die is thrown what is the probability that there is a prime number on the top?	A. 1/2 B. 1/3 C. 1/6 D. 2/3
44	In the figure PS is perpendicular to QR, if PQ = PR 26 and P8 = 24,then QR=	A. 10 B. 20 C. 40 D. 26
45	Derivative of strictly increasing function is always	A. Zero B. Positive C. Negative D. Both A and B
46	If x < y, 2x = A and 2y = B then	A. A =B B. A < B C. A< X D. B < y
47	Sum of integers starting from to n is	A. n(n+1)/4 B. n(n+1)/6 C. n(n+1)/2 D. n(n-1)/2
48	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.	A. 40 B. 30 C. 50 D. 20
49	If the vector 2i+4j-2k and 2i +6j+xk are perpendicular then x-7	A. 4 B. 8 C. 14 D. 7
50	In general matrices do not satisfy	A. Not a group B. A group w.r.t. subtraction C. A group w.r.t. division D. A group w.r.t. multiplication
51	Sin 720° = ________	A. 1 B. 0 C. 2 D. 1/2
52	∫1/ax +b dx =	A. 1/a log \|ax + b\| +c B. Log \|ax + b\| +c C. 1/b log \|ax +b\| +c D. 1/x log \|ax + b\| +c
53	The range of inequality x + 2 > 4 is	A. (-1,2) B. (-2,2) C. (1,∞) D. None
54	The Domain of f(x) = log x is	A. [0,∞] B. (0, ∞) C. [0,∞[ D. [∞ ,∞]
55	The axis of the parabola y² = 4ax is	A. x =0 B. Y =0 C. X = y D. X = -y
56	(x+2)² = x² +4x +4 is	A. 1 B. 2 C. 3 D. 4
57	If a rectangle has an area 81x² and length of 27x. then what is its width?	A. 3x B. 9x C. 3x² D. 9x²
58	π/3 is	A. A positive integer B. A negative integer C. A natural number D. An irrational number
59	The length of rectangle is twice as much as its breadth. If the perimeter is 120 cm, the length of the rectangle is	A. Same as the original determinant B. Additive inverse of the original determinant C. Both A and B D. Adj of the original matrix
60	A fraction in which the degree of the numerator is less than the degree of the denominator is called	A. 1-i √-3 / 2 B. -1+i √-3 / 2i C. -1+i √3 / 2 D. 1+i √3 / 2
61	An m x n matrix is said to be rectangular if	A. Forms a group w.r.t. addition B. Non commutative group w.r.t. multiplication C. Forms a group w.r.t. multiplication D. Doesn't form a group
62	Second derivative of y = x⁹ + 10x² + 2x -1 at x = 0 is	A. 10 B. 20 C. 12 D. 1
63	If sinθ = 1 then θ =	A. 2nπ +π/2 B. 2nπ C. 2π +n D. Nπ +π/2
64	Find the geometric mean between 4 and 16	A. 7, 8 B. 14, 4 C. 28, 2 D. 56, 1
65	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?	A. x- y =-6 B. x -y < -6 C. x -y > 6 D. None
66	If θ= 60° then	A. sin θ = 1/2 B. tan θ = cot 30° C. θ = π/4 D. Sec θ =4
67	If i,m,n are the direction cosines of a vector O̅P̅ then	A. I² + m² + n² =0 B. I² - m² + n² =1 C. I² + m² + n² =1 D. I² + m² - n² =0
68	Sin (2π -θ) =______.	A. Cosθ B. -Sinθ C. -Sinθ D. -cosθ
69	Given eight points in a plane no three of which are collinear how many lines do the points determine?	A. 16 B. 64 C. 28 D. 36
70	AreCot √3 =?	A. π/2 B. π C. 2π D. π/6

Latest Educational News Stories

Pakistan's Largest Database of Colleges and Universities

BS Programs

University Past Papers

University Results

Exam Results 2024

Study Abroad Programs and Opportunities for Pakistani Students

GAT Subject Mathematics MCQ'S Test Preparation for Pakistani Students

MCQ's Test For GAT Subject Mathematics MCQ's Test

GAT Subject Mathematics MCQ's Test

If the order of A is n x m. Then order of kA is

Which of the following is the equation of a line with slope 0 and passing through the point (4,3)

The equation of the circle with center origin and radius 2√2 is

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

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

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

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

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

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

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

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

An angle 0 is such that tan θ = 1 and cos θ is negative then

Cos-1 x =

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

If ab > 0 and a < 0, which of the following is negative?

Which of the following is not defined?

The set of all positive even integers is

Period of Sin 2x =

The two consecutive positive integers whose product is 56 are

Sin-1 x =?

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

∫1/ax +b dx =

The sum of the interior angles for a 16 sided polygon is

An m x n matrix is said to be rectangular if

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

120° degrees are equal to how many radians?

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

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?

Cse π/3

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

If Cosθ =0, Then θ=

d/dx (3y4) =

Sin(a + b) + Sin(a- b) =

Sin-1 √3/2 =?

If 0 is not an integral multiple of π/2 then Cot4 θ+ Cot2 θ=?

Which of the following is the solution of Cot2x = 1/√3

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

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

Two natural numbers whose sum is 25 and difference is 5, are

3/2 is

Given eight points in a plane no three of which are collinear how many lines do the points determine?

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

d/dx ax is

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

The principal value of sin-1 [√3/2] is

The direction cosines of y-axis are

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

Write the first four term of the arithmetic sequence if a1 = 5 and other three consecutive terms are 23,26,29

A die is thrown what is the probability that there is a prime number on the top?

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

Unit vector in the positive direction of x-axis is

The average of first 100 integers is=

If x < y, 2x = A and 2y = B then

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

Which of the following is solution of Tan2 x = 1/3

Sin x + Cos x=1 x=

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

How many different arrangements of the letters in the word QABABA are Possible?

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

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

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

Which is a proper rational fraction

Domain of Y = csc x is

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

d/dx (√x) =

Tan (π + Tan-1 x) =?

Sin-1 (-x) =?

The parametric equation of a curve are x = t2, y = t2 then

If Z1 = 1+i, Z2 = 2+3i, then |Z2-Z1|=?

Domain of Cosecθ is

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

(x+2)² = x² +4x +4 is

If x² +y² = 4, Then dy/dx =

Cos^-1 x =

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

Sin^-1 x =?

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

d/dx (3y⁴) =

Sin^-1 √3/2 =?

If 0 is not an integral multiple of π/2 then Cot⁴ θ+ Cot² θ=?

Which of the following is the solution of Cot²x = 1/√3

d/dx a^x is

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

The principal value of sin^-1 [√3/2] is

Write the first four term of the arithmetic sequence if a₁ = 5 and other three consecutive terms are 23,26,29

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

Which of the following is solution of Tan² x = 1/3

Tan (π + Tan^-1 x) =?

Sin^-1 (-x) =?

The parametric equation of a curve are x = t², y = t²then

If Z₁ = 1+i, Z₂ = 2+3i, then |Z₂-Z₁|=?