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 0 is not an integral multiple of π/2 then Cot⁴ θ+ Cot² θ=?	A. Cosec⁴ θ -Cosec²θ B. Tan θ - Tan² θ C. Cosec² θ + Cosec θ D. Sinθ Cosθ
2	If P(E) is the probability that can event will occur then P(E)=	A. 1 B. 0.5 C. 2 D. 0
3	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
4	0 (zero) is	A. A irrational number B. A rational number C. A negative integer D. A positive number
5	If ab > 0 and a < 0, which of the following is negative?	A. b B. -b C. -a D. (a - b)²
6	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
7	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
8	(x+2)² = x² +4x +4 is	A. 1 B. 2 C. 3 D. 4
9	The vertices of the ellipse x² + 4y² = 16 are	A. (±,4,0) B. (0,±,4) C. (± 2,0) D. (0,± 2)
10	Which of the following is the subset of all sets ?	A. A ≠ C B. B = C C. A = B D. A ≠ B

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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

∫sec (ax + b) tan(ax + b) dx=_______

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

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

Cos 315° =

If Sin θ =Cosθ then θ=

If Z1 = √-36, Z2=√-25, Z3= √-16, then what is the sum of Z1, Z2 and Z3 ?

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

√23 is

The two different parts of the hyperbola are called is

Domain of Cosecθ is

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

What is the conjugate of -7 -2i ?

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

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

If the angle between two vectors with magnitude 8 and 2 is 60° then their scalar product is

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

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?

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

There are 30 Red balls and 25 Green balls in a bag of a ball is drawn from the bag randomly what is the probability that a Blue ball comes out?

The perpendicular bisector of any chord of a circle

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=

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

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

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

The set (Z, +) forms a group

If |A| ≠ 0 then A is called

Cos-1 (-x) =_______.

Multiplicative inverse of "1" is

The value of x, and y, when (x+iy)2=5+4i

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

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

Which is a proper rational fraction

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

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

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

8 > t then

Every prime number is also

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

The associative angle of 280o is

For which of the following ordered pairs (s,t) is s + t> and s- t < -3?

The two consecutive positive integers whose product is 56 are

Sum of integers starting from to n is

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

AreCot √3 =?

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

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

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

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

In which quadrant is the solution of the equation sin x - 1 = 0

d/dx ax is

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

In the function v = 4/3 π r3, V is a function of

If y = sin(ax + b) then fourth derivative of y with respect to x=

Find the geometric mean between 4 and 16

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

If the diagonal of a square has coordinates (1,2) and(5,6) the length of a side is

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

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

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

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

Which of the following is not defined?

For any set X, X∪X is

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

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

3/2 is

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

Sin-1 √3/2 =?

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?

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

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

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

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

If Z₁ = √-36, Z₂=√-25, Z₃= √-16, then what is the sum of Z₁, Z₂ and Z₃ ?

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

If Cⁿ_r, Pⁿ_r = 24:1 then r = ?

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

Cos^-1 (-x) =_______.

The value of x, and y, when (x+iy)²=5+4i

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

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

The associative angle of 280^o is

d/dx a^x is

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

In the function v = 4/3 π r³, V is a function of

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

Sin^-1 √3/2 =?