Want To know **BSC 1st Semester maths important questions 2024.** They** **are important for your Exam Preparation. They Can Help You To Cover Maximum Syllabus In Minimum Time.

Maths Is A Difficult Subject if You Lack Knowledge About Its Calculations. In This Post We Have Compiled Some important questions For Students in First Year Of BSC Course.

These Questions Mentioned Here Are Extracted From Previous Year Question Papers And We Have Also Provided **Theory Based Question as well as Practical Question**. These questions can help

## BSC 1st Semester maths important questions

**Theory Based Question**

Determine the number of different arrangements of the letters in the word ‘BLOATING’.

Calculate the time it will take for 32 men to complete a piece of work if 64 men can complete it in 40 days.

Find the area of a circle given its circumference is 1447 meters, using π = 3.14.

Determine the present age of a son if the ratio of the ages of a father and son is 17:7, and six years ago, the ratio was 3:1.

Calculate the area of a circle with a radius of 10 meters using π = 3.14.

Assess the probability that a target will be hit if A, with a probability of 1/3, and B, with a probability of 2/5, both shoot at it.

When a die is rolled, determine the probability of getting an odd number that is also prime.

Find the value of tan-1 (tan 2π/3).

Prove that if tan A = 3/4, then Sin A Cos A = 12/25.

Calculate the probability of getting an even number, a number greater than 3, and a number between 3 and 6 when a die is thrown once.

Prove that the limit of (sin x)/x as x approaches 0 is 1.

Find the modulus and argument of the complex number 3 – 4i.

Solve the differential equation dy/dx = (x + y – 1)/(x – y + 1).

Determine whether the set of all polynomials of degree less than or equal to 3, with the standard operations of addition and scalar multiplication, forms a vector space.

Find the inverse of the matrix, if it exists: [[2, 3], [1, 4]].

Determine whether the series ∑(1/n^2) from n=1 to infinity is convergent or divergent.

Find the first partial derivatives of the function f(x, y) = x^2y + sin(xy) with respect to x and y.

Formulate and solve a linear programming problem to maximize the profit P = 40x + 30y subject to the constraints 2x + y ≤ 40, x + 3y ≤ 60, x ≥ 0, y ≥ 0.

If the mean and standard deviation of a set of data are 20 and 4, respectively, find the coefficient of variation.

Use the bisection method to find a root of the equation x^3 – x – 1 = 0 to within a tolerance of 0.01.

**Maths Practical Question**

Evaluate the definite integral ∫(2x + 3) dx from 0 to 5.

Solve the system of linear equations: 3x + 2y = 10 2x – y = 4

Find the derivative of f(x) = 3x^2 + 5x – 2.

Solve the quadratic equation 2x^2 – 5x + 3 = 0.

Find the domain of the function f(x) = √(4 – x).

Calculate the value of lim(x→3) (2x^2 – 5x + 1).

Solve the trigonometric equation: sin(x) = cos(x).

Determine whether the series ∑(n=1 to ∞) (1/n) converges or diverges.

Find the limit lim(x→0) (sin(x)/x).

Calculate the height of a building if the angle of elevation to its top from a point 50 meters away from its base is 30 degrees.

Determine the roots of the polynomial equation ( x^3 – 4x^2 + x + 6 = 0 ) using the factor theorem and synthetic division.

Evaluate the limit (\lim_{x \to 2} \frac{x^2 – 4}{x – 2}) and verify the result by plotting the function graphically.

A bag contains 5 red balls and 7 green balls. If two balls are drawn at random, what is the probability that both are green?

Find the equation of the line passing through the points (3, -2) and (7, 4).

If the first term of an arithmetic progression is 5 and the common difference is 3, find the 10th term.

Solve the pair of linear equations (2x + 3y = 6) and (4x – y = 5) using the method of substitution or elimination.

Determine the nature of the roots of the quadratic equation (x^2 – 6x + 9 = 0) and find the roots if they exist.

Calculate the area of a circle with a diameter of 14 cm.

From the top of a 75-meter high tower, the angles of depression of two objects located on the same side of the tower are measured to be 30 degrees and 45 degrees, respectively.

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