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

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Sr.#	Question	Answer
1	Area of ΔABC=	A. ab sin α B. 1/2 ab sin α C. 1/2 ac Sin γ D. 1/2 ac Sin β
2	∫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
3	The nth term in G.P 3,-6,12,............ is	A. 25, 20 B. 20, 10 C. 20, 5 D. 15, 10
4	Which of the following is the equation of a line with slope 0 and passing through the point (4,3)	A. X =4 B. X = -4 C. Y = 3 D. Y = -6
5	2/(x+1)(x-1) = A/x+1 + B/x-1 corresponds to	A. α = b/a and β = ca B. α = a/b and β = -c/a C. α² + β² = 1 D. α = -b/a and β= c/a
6	The multiplicative inverse of -1 in the set {1-,1} is	A. 40 B. 30 C. 50 D. 20
7	What is the domain of y = Cot^-1 x?	A. Set of irrational numbers only B. Set of all real numbers C. Set of integers only D. Set of complex numbers only
8	Cot 360° =______.	A. Undefined B. 0.707 C. -0.5 D. 0
9	Sin^-1 (-x) =	A. Cos^-1 1/x B. -Sin^-1 X C. 1/sin-1x D. Sin^-1 1/x
10	The set (Q, .)	A. Infinite set B. Singleton set C. Two points set D. None
11	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
12	3/2 is	A. An irrational number B. Whole number C. A positive integer D. A rational number
13	If the 9^th tern of A.P is 8 and the 4^th term is 20. then the first term is	A. 1 B. 2 C. -2 D. -1
14	Which is not included in the domain of Cos^-1 x	A. 0 B. 1 C. -1 D. 2
15	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
16	The center of a circle of radius 10 is on the origin which of the following points lies with in the circle	A. (10,0) B. (8,8) C. (8,4) D. (0,10)
17	The set { {a,b} } is	A. {X/X∈ A∧x ∈ U} B. {X/X∉ A∧x ∈ U} C. {X/X∈ A and x ∉ U} D. A-U
18	The multiplicative inverse of x such that x = 0 is	A. -x B. does not exist C. 1/x D. 0
19	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
20	AreCot √3 =?	A. π/2 B. π C. 2π D. π/6
21	If a rectangle has an area 81x² and length of 27x. then what is its width?	A. 3x B. 9x C. 3x² D. 9x²
22	The set of all positive even integers is	A. Φ B. {1,2,3} C. {Φ} D. {0}
23	Every prime number is also	A. Rational number B. even number C. Irrational number D. multiple of two numbers
24	Sin^-1 x =?	A. π/2- Sin^-1 x B. π/2 -Cos^-1 x C. -Sin^-1 x D. -Cos^-1 x
25	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
26	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)
27	The point (-5,3) is the center of a circle and P(7,-2) lies on the circle the radius of the circle is	A. 2 B. 13 C. 7 D. 8
28	The cube roots of unity ω = -------------------------	A. 1-i √-3 / 2 B. -1+i √-3 / 2i C. -1+i √3 / 2 D. 1+i √3 / 2
29	If any two rows (or any two columns) of a square matrix are inter changed, the determinant of the resultant matrix is	A. True B. False C. Fallacious D. Some times true
30	If x² +y² = 4, Then dy/dx =	A. 2x +2y B. 4 -x² C. -x/y D. y/x
31	The end points of the major axis of the ellipse are called its	A. foci B. Vertices C. Co-vertices D. eccentricity
32	The vertices of the ellipse x² + 4y² = 16 are	A. (±,4,0) B. (0,±,4) C. (± 2,0) D. (0,± 2)
33	The general solution of the differential equation dy/dx = log x is	A. Y = -x log x- x +c B. Y = x log x + x² C. Y = x log x -x +c D. Y= 2x log x + 2x +c
34	How many different arrangements of the letters in the word QABABA are Possible?	A. 720 B. 40 C. 60 D. 30
35	If Sin^-1 x + cos^-1 y = π, then x and y are	A. Associative angles B. Complementary angles C. Reflex angles D. Supplementary angles
36	If y = sin(ax + b) then fourth derivative of y with respect to x=	A. a⁴ cos (ax + b) B. a⁴ sin (ax + b) C. -a⁴ sin(ax +b) D. a4 tan (ax + b)
37	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
38	Sin x + Cos x=1 x=	A. π B. π/2 C. π/3 D. π/4
39	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
40	Ab > 0 and a > 0 then	A. a > b B. a < b C. a = b D. None
41	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
42	Domain of Y = csc x is	A. R - nπ, n ε I B. R C. R -nπ/2,nεI D. All negative Integers
43	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=	A. -7 + 2i B. 7 + 2i C. 7-2i D. √53
44	If α and β be irrational roots of a quadratic equation, then	A. α = b/a and β = ca B. α = a/b and β = -c/a C. α² + β² = 1 D. α = -b/a and β= c/a
45	If y = (ax)^m + b^m, then dy/dx equals	A. m (ax)^m x^m-1 B. ma^m x^m-1 C. m a^m x^m-1 D. m a^m x^m-2
46	If Z= (1,2). tjem Z^-1 = ?	A. (0.2, 0.4) B. (-0.2, 0.4) C. (0.2, -0.4) D. (-0.2, -0.4)
47	If 2 Sin x Cos 2 x = Sin x then?	A. X = nπ+ π/6 B. X = nπ +π/3 C. X = nπ +1 D. X = nπ + π/2
48	The two different parts of the hyperbola are called is	A. Vertices B. Directrices C. Nappes D. Branches
49	If Cⁿ_r, Pⁿ_r = 24:1 then r = ?	A. 1 B. 2 C. 3 D. 4
50	If x < y, 2x = A and 2y = B then	A. A =B B. A < B C. A< X D. B < y
51	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
52	The Domain of f(x) = log x is	A. [0,∞] B. (0, ∞) C. [0,∞[ D. [∞ ,∞]
53	The value of the polynomial 3x³ + 4x² - 5x + 4 at x = -1 is	A. A² + B² B. A² + B²+ 2AB C. A + B D. A² + B² + AB+BA
54	Sin-1 (√2/2)=?	A. π/2 B. π/3 C. 3π/4 D. 2π
55	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)
56	Domain of Cosecθ is	A. is R but θ= nπ B. is R but θ ≠ nπ C. is R but θ ≠ 2nπ D. is R but θ ≠ nπ/2
57	The number of ways in which 5 distinct toys can be distributed among 3 children is	A. 3⁵ B. 5³ C. C⁵₃ D. P⁵₃
58	∫sec (ax + b) tan(ax + b) dx=_______	A. sec(ax + b)/a B. sec² (ax + b)/2 C. sec(ax + b)/x D. 1/2
59	If P(E) is the probability that can event will occur then P(E)=	A. 1 B. 0.5 C. 2 D. 0
60	If in isosceles right angled triangle one side is a then hypotenuse is	A. a√2 B. a/2 C. a D. Cannot be determined by given
61	If x lies in {0, 2π} and Cosec x = 2 then x =	A. π/ 6 and 5π/6 B. π +2nπ C. nπ D. 2π/3 and π/3
62	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
63	Which is a proper rational fraction	A. 3x - 7/x² +4 B. 2x² - 5/x² + 4 C. 3x⁴/2x² - 15 D. All are proper rational fraction
64	If Sin θ =Cosθ then θ=	A. 30° B. 45° C. 60° D. 90°
65	d/dx a^x is	A. xa^x-1 B. a^x C. x in a D. a^x in a
66	P(x) = 2x⁴ -3x³ +2x-1 is polynomial of degree	A. 1 B. 2 C. 3 D. 4
67	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
68	Which of the following is solution of Tan² x = 1/3	A. 7π/6 B. 5π/6 C. π/6 D. All
69	The nth term of A,P:1,5,9,15...........is given by	A. 4n - 3 B. 4n + 1 C. 3n -4 D. 4n +3
70	The equation of two polynomials P(x)/Q(x) where Q(x) ≠ 0 with no common factor is called	A. 12 B. 1 C. 10 D. -10

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GAT Subject Mathematics MCQ's Test

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

Sin (2π -θ) =______.

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

AreCot √3 =?

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

8 > t then

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

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

In the figure PS is perpendicular to QR, if PQ = PR 26 and P8 = 24,then QR=

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

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

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

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

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

Which is an explicit function

If x lies in {0, 2π} and Cosec x = 2 then x =

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

The set { {a,b} } is

If 4 - x > 5, then

ωn = ?, when n = 3k

3/2 is

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

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

Tan-1 1/x =______

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

Sin 720° = ________

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=

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

Second derivative of y = x9 + 10x2 + 2x -1 at x = 0 is

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

Sin-1 √3/2 =?

Cos 315° =

If sinθ = 1 then θ =

The range of inequality x + 2 > 4 is

In the figure angle A is =

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

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

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

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

Domain of Y = csc x is

If P(E) is the probability that can event will occur then P(E)=

Sum of integers starting from to n is

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

d/dx (3y4) =

If |A| ≠ 0 then A is called

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

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

Graph of the equation X2 + y2 = 4 is

The average of first 100 integers is=

The associative angle of 280o is

The total cost of 2 apples and 3 oranges is $1.70,which of the following is true

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

The line through the center and perpendicular to the transverse axis is called the

ω88 = ?

There are 30 Red, 20 Green and some Blue bells in a bag if the probability of finding a Red ball is 1/3,how many are red balls in the bag

The angle a (0° < a< 180°) measured counterclockwise from positive x-axis to a non-horizontal straight line / is called the

Any point where f is neither increasing nor decreasing and f(x) =0 at that point is called a

Which is in the solution set of 4x - 3y <2

If A and B are matrices such that AB=BA=I then

120° degrees are equal to how many radians?

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

F(x) = xx decreases in the interval

The number of diagonals of a six sided figure are

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

If Sin θ =Cosθ then θ=

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

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

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

Period of Sin 2x =

Prepare Complete Set Wise GAT Subject Mathematics MCQ's Test MCQs Online With Answers

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

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

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

ωⁿ = ?, when n = 3k

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

Tan^-1 1/x =______

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

Second derivative of y = x⁹ + 10x² + 2x -1 at x = 0 is

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

Sin^-1 √3/2 =?

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

What is the domain of y= Sin^-1 x?

d/dx (3y⁴) =

Graph of the equation X² + y² = 4 is

The associative angle of 280^o is

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

ω⁸⁸ = ?