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

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

NAT-I Mathematics Chapter 1 Important MCQ's

Sr.#	Question	Answer
1	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
2	The Domain of f(x) = log x is	A. [0,∞] B. (0, ∞) C. [0,∞[ D. [∞ ,∞]
3	Sec^-1 x=	A. Cos^-1 1/x B. Cosec^-1 1/x C. Cos-1 (-x) D. Tan^-1 x
4	If x² +y² = 4, Then dy/dx =	A. 2x +2y B. 4 -x² C. -x/y D. y/x
5	Unit vector in the positive direction of x-axis is	A. î B. ĵ C. k̂ D. All
6	Sin^-1 √3/2 =?	A. 2π/3 B. π/2 C. π/3 D. v/5
7	Which of the following is the subset of all sets ?	A. A ≠ C B. B = C C. A = B D. A ≠ B
8	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
9	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
10	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 Preparation for Pakistani Students

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

GAT Subject Mathematics MCQ's Test

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

Which of the following is the subset of all sets ?

d/dx ax is

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

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

Domain of Y = csc x is

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

Multiplicative inverse of "1" is

120° degrees are equal to how many radians?

If a rectangle has an area 81x2 and length of 27x. then what is its width?

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?

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

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

3/2 is

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

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

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

The statement that a group can have more than one identity elements is

If θ= 60° then

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

If Cosθ =0, Then θ=

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

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

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

Sin-1 √3/2 =?

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

Complex roots of real quadratic equation occur in

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

Sin-1 (√2/2)=?

d/dx [cos x2] =________

The degree of the polynomial 2x4 + 3x2 + 16x + 28 = x4 + 2x2 is

Which of the following is not defined?

The set of all positive even integers is

Every prime number is also

1/x2 -1 = ? (in case of making partial fraction)

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

If Cosα = 3/5, Cosβ = 5/13, then

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

The two consecutive positive integers whose product is 56 are

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

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

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

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

Find the geometric mean between 4 and 16

A function F(x) is called even if

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

r + 3 > 5 then which is true

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

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

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

d/dx (√x) =

Sin (2π -θ) =______.

6 is

What is the conjugate of -7 -2i ?

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

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

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

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

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

If sin θ= 3/5 Cos θ=

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

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

AreCot √3 =?

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

√23 is

In the triangle Δ ABC, where C is the right angle Tan A + Tan B=

Domain of Cosecθ is

Cse π/3

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

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

d/dx a^x is

If a rectangle has an area 81x² and length of 27x. then what is its width?

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

Sin^-1 √3/2 =?

d/dx [cos x²] =________

The degree of the polynomial 2x⁴ + 3x² + 16x + 28 = x⁴ + 2x² is

1/x² -1 = ? (in case of making partial fraction)

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

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

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

If x² +y² = 4, Then dy/dx =

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

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

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

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