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 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)
2	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
3	x-1/(x+2)(x-2) =	A. 4/3(x-4) -1/3(x-1) B. 3/4(x+2) + 1/4(x-2) C. 2/3(x-2) - 4/3(x+2) D. 3/x - 2/x+1
4	The nth term in G.P 3,-6,12,............ is	A. 25, 20 B. 20, 10 C. 20, 5 D. 15, 10
5	If -1 < x < 0, which of the following statement must be true?	A. x < x² < x² B. x < x³ < x² C. x² < x³ < x D. x²< x < x³
6	Which is in the solution set of 4x - 3y <2	A. (3,0) B. (4,1) C. (1,3) D. None
7	An angle 0 is such that tan θ = 1 and cos θ is negative then	A. Sin θ is positive B. Cos θ = √2/4 C. cosθ = -1 D. sec θ is negative
8	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
9	Sin^-1 (-x) =	A. Cos^-1 1/x B. -Sin^-1 X C. 1/sin-1x D. Sin^-1 1/x
10	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

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

GAT Subject Mathematics MCQ's Test

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

Ab > 0 and a > 0 then

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

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

The magnitude of a vector can never be

Two matrices A and B are conformable for multiplication (AB) if and only if

Unit vector in the positive direction of x-axis is

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

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

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

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

If 1 + Cos x = 0 then x =

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

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?

The sum of the ages of Nazish and his son is 56 years. Eight years ago. Nazish was 3 time as old as his son. How old is the son now?

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

If -1 < x < 0, which of the following statement must be true?

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

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

The curves y =x2, y= x interest at

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

d/dx [cos x2] =________

r + 3 > 5 then which is true

Tan (π + Tan-1 x) =?

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

Cos-1 x =

Which is a proper rational fraction

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

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

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

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

A function F(x) is called even if

Multiplicative inverse of "1" is

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

The graph of a quadratic function is

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

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

x2 +2x -25 = 0 is

The two different parts of the hyperbola are called is

The point (-5,3) is the center of a circle and P(7,-2) lies on the circle the radius of the circle is

One of the roots of the equation 2x2 + 3x + n = 0 is the reciprocal of the other, then n = --------------------

The circle (x -2)2 + (y + 3)2 =4 is not concentric with the circle

The set (Q, .)

6 is

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

Domain of Cosecθ is

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

If Cosα = 3/5, Cosβ = 5/13, then

d/dx (3y4) =

Sin-1 (-x) =?

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

The area of circle of unit radius=

If Cosθ =0, Then θ=

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

Period is Tan x/5 is

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

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

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

Sin x + Cos x=1 x=

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

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

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

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

The set of the first elements of the ordered pairs forming a relation is called its

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

In general matrices do not satisfy

3/2 is

The two consecutive positive integers whose product is 56 are

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

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

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

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

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

The curves y =x², y= x interest at

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

d/dx [cos x²] =________

Tan (π + Tan^-1 x) =?

Cos^-1 x =

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

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

(x+2)² = x² +4x +4 is

x² +2x -25 = 0 is

One of the roots of the equation 2x² + 3x + n = 0 is the reciprocal of the other, then n = --------------------

The circle (x -2)² + (y + 3)² =4 is not concentric with the circle

d/dx (3y⁴) =

Sin^-1 (-x) =?

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

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

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

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

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