Find the 7th term of the A.P. 8, 5, 2, -1, -4,…

If 5th and 12th terms of an A.P. are 14 and 35 respectively, find the A.P.

Divide 69 into three parts are in A.P. and are such that the product of the first two parts is 483.

Find the arithmetic mean between 4 and 10.

Find the G.P. series where 4th term is 8 and 8th term is 128/625

Insert three geometric means between 𝟏/9 and 9

Find the sum of 1st term of G.P. series 1+2+4+8+……

Find the sum of the series -2, 6, -18 …..7 terms?

In a G.P. the product of the 1st three terms 27/8. The middle term is

If you save 1 paisa today, 2 paisa the next day and 4 paisa the succeeding day and so on, then your total savings in two weeks will be.

The sum of the infinite G.P series 1 -𝟏/3+ 𝟏/9– 𝟏/27 …..

Find the 10th term of the A.P.: 2, 4, 6, ….

The 10th term of an A.P. is -15 and 31st term is -57, find the 15th term

Which term of the A.P.: 5, 11, 17 … is 119?

Is 600 a term of the A. P.: 2, 9, 16, ….?

The common difference of an A.P. is 3 and the 15th term is 37. Find the first term.

Geometric mean G between two numbers a and b id

If A and G are arithmetic and geometric mean respectively between two positive numbers a and b, then A (AM) < G (GM) is correct?

Find the sum of the AP: 11, 17, 23, and 29… of first 10 terms.

Find the G. M. between 𝟑/2 and 𝟐𝟕/2

Which of the following statements is used to create an empty set?

What is the output of the following piece of code when executed in the python shell?

Which of the following lines code will result is an error?

What is the output of the code shown below?
S=set ([1, 2, 3,])  S, union ([4, 5})  S|([𝟒, 𝟓])

What is the output of the line of code shown below, if s1 = {1, 2, 3} Is S1 subset ?

A _____ is an ordered collection of objects.

The set of odd positive integers less than 10 can be expressed by ______

Power set of empty set has exactly _____ subset.

What is the Cartesian product of A = {1, 2} and B = {a, b}?

The Cartesian product B x A is equal to the Cartesian product A x B. Is it True or False?

What is the cardinality of the set of odd positive integers less than 10?

Which of the following two sets are equal?

Let the set A is the {1, 2, 3} and B is {2, 3, 4}. Then number of elements in A U B is

Let the set A is {1, 2, 3} and B is {2, 3, 4}. Then number of elements in A Ո B is

If A has 4 elements B has 8 elements, then the minimum and maximum number of
elements in A Ս B are respectively

The existence of first order partial derivatives implies continuity 

Eight guests have to be seated 4 on each side of a long rectangular table. 2 particular guests desire to sit on one side of the table and 3 on the other side. The number of ways in which the sitting arrangements can be made is:

If f(x) = xk and f ‘(1) = 10, then the value of k is

f(x, y) = x² + xyz + z find fx at

Necessary condition of Euler’s theorem is

Question 27 For a homogenous function if critical points exist the value at critical points is

For homogenous function the linear combination of rates of independent change along x and y axis is

The rate of increase of bacteria in a certain culture is proportional to the number present. If it double 5 hours then in 25 hours its number would be

The differential equation representing the family of curves y2 = 2c(x+√𝒄), where c is a positive perimeter, is of

Compute the sum of 4 digit numbers which can be formed with four-digit 1, 3, 5, 7 if each digit is used once in each engagement:

The cost function for the production of x unit of a commodity is given by C(x) = 2x3 +: 15x2 + 36x + 15

If the cost of function of a commodity is given by C = 150x-5x2+ 𝒙𝟑 ÷ 𝟔, where C stands for cost and x stands for output. If the average cost is equal to the marginal cost then the output x = _______ 

The cost of producing x units is 500-20x2 + x3 / 3. The marginal cost is minimum at x = _______.

The speed of a train at a distance x (from the starting point) is given by 3x2-5x+4. What is the rate of change (of distance) at x=1?

What will be f(x) if f’(x) = 10x2 + 4x and f(-3) = 17