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

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NAT-I Mathematics Chapter 1 Important MCQ's

Sr.#	Question	Answer
1	If \|A\| ≠ 0 then A is called	A. 1 B. -1 C. ±1 D. 0
2	The vertices of the ellipse x² + 4y² = 16 are	A. (±,4,0) B. (0,±,4) C. (± 2,0) D. (0,± 2)
3	In the function v = 4/3 π r³, V is a function of	A. 3/4 B. r C. v D. π
4	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
5	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
6	If x² +y² = 4, Then dy/dx =	A. 2x +2y B. 4 -x² C. -x/y D. y/x
7	Partial fraction of 1/x³-1 will be of the form	A. Conjugate pair B. ordered pair C. reciprocal pair D. quadratic function
8	If 4 - x > 5, then	A. x > 1 B. x > -1 C. x < 1 D. x < -1
9	The set of all positive even integers is	A. Φ B. {1,2,3} C. {Φ} D. {0}
10	The sum of the series 1+5+9+13+17+21+25+29 is:	A. 10 cm B. 20 cm C. 30 cm D. 40 cm

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GAT Subject Mathematics MCQ's Test

6 is

d/dx (√x) =

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

The graph of a quadratic function is

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

The gradient of the line joining (1,4) and (-2,5) is

Which of the following is not defined?

Cos-1 x =

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

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

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

Every prime number is also

If Sin θ =Cosθ then θ=

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?

The perpendicular bisector of any chord of a circle

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

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

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

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

A standard deck of 52 cards shuffled what is the probability of choosing the queen of the diamonds

π/3 is

If sinθ = 1 then θ =

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

r + 3 > 5 then which is true

The set { {a,b} } is

The general solution of the differential equation dy/dx = log x is

120° degrees are equal to how many radians?

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

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

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

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

The value of Cos (1/2 Cos-1 1/2) is equal to

If y = (ax)m + bm, then dy/dx equals

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

8 > t then

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

How many elements are in the sample space of two rolling dies

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

Which is not a half plane

In general matrices do not satisfy

Sin x + Cos x=1 x=

Sin-1 (-x) =?

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

Domain of Y = csc x is

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

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

Sin (2π -θ) =______.

Ab > 0 and a > 0 then

Two dice are rolled The number of possible out come in which at least one die shows 2 is?

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

What is the period of Cot x?

If 4 - x > 5, then

The radius of the circle (x- 1)2 + (y + 3)2 =64 is

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

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

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

The axis of the parabola y2 = 4ax is

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

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

An angle of one radian is equivalent to

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

Sin-1 [-1/2] = ______.

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

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

If f(x) = x3- 2x2 +4x-1, then f(-2) =?

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

The equation of two polynomials P(x)/Q(x) where Q(x) ≠ 0 with no common factor is called

A function F(x) is called even if

Sin-1 √3/2 =?

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

Cos^-1 x =

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

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

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

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

The value of Cos (1/2 Cos^-1 1/2) is equal to

If y = (ax)^m + b^m, then dy/dx equals

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

Sin^-1 (-x) =?

If x² +y² = 4, Then dy/dx =

The radius of the circle (x- 1)² + (y + 3)² =64 is

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

The axis of the parabola y² = 4ax is

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

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

If f(x) = x³- 2x² +4x-1, then f(-2) =?

Sin^-1 √3/2 =?