Comprehensive BA Mathematics Question Paper and Solutions

Bachelor of Arts (BA) Mathematics papers test various mathematical concepts and problem-solving skills. This guide includes questions and answers across topics for effective preparation.

BA Math Question Paper with Questions and Answers

Algebra

Question: What is the solution to the equation 2x + 5 = 15?

Answer: x = 5

Question: Simplify (x + 3)(x – 2).

Answer: x² + x – 6

Question: Solve for x: 3x – 7 = 2x + 5.

Answer: x = 12

Question: What is the value of x if 5x = 20?

Answer: x = 4

Question: Expand (2x + 3)².

Answer: 4x² + 12x + 9

Question: Factorize x² – 16.

Answer: (x – 4)(x + 4)

Question: Solve for x: x² – 9x + 20 = 0.

Answer: x = 4 or x = 5

Question: Simplify (a + b)(a – b).

Answer: a² – b²

Question: Solve for x: x² = 49.

Answer: x = ±7

Question: What is the value of 3x² if x = 2?

Answer: 12

Question: Simplify (x + 4)³.

Answer: x³ + 12x² + 48x + 64

Question: Solve for x: 2(x – 3) = 8.

Answer: x = 7

Question: Factorize x² – 7x + 10.

Answer: (x – 2)(x – 5)

Question: Simplify 3(x + 2) + 2(x – 4).

Answer: 5x – 2

Question: Solve for x: x² + 2x – 8 = 0.

Answer: x = 2 or x = -4

Question: What is the product of (x + 2)(x + 5)?

Answer: x² + 7x + 10

Question: Expand (x – 3)².

Answer: x² – 6x + 9

Question: Solve for x: 5x + 6 = 2x – 3.

Answer: x = -3

Question: Factorize x² + 4x – 21.

Answer: (x + 7)(x – 3)

Question: Simplify 4(x – 2) – 3(x + 1).

Answer: x – 11

Calculus

Question: What is the derivative of x² + 3x?

Answer: 2x + 3

Question: Find the integral of 3x².

Answer: x³ + C

Question: What is the derivative of sin(x)?

Answer: cos(x)

Question: Find the derivative of ln(x).

Answer: 1/x

Question: What is the integral of e^x?

Answer: e^x + C

Question: Solve for dy/dx if y = x³.

Answer: dy/dx = 3x²

Question: Find the integral of 2x.

Answer: x² + C

Question: What is the derivative of cos(x)?

Answer: -sin(x)

Question: Evaluate ∫x dx.

Answer: (x²/2) + C

Question: Find the derivative of tan(x).

Answer: sec²(x)

Question: Solve for dy/dx if y = 5x² + 4x.

Answer: dy/dx = 10x + 4

Question: What is the integral of 1/x?

Answer: ln|x| + C

Question: Evaluate ∫3x² dx.

Answer: x³ + C

Question: What is the derivative of x³ + 2x²?

Answer: 3x² + 4x

Question: Find the integral of sin(x).

Answer: -cos(x) + C

Question: What is the derivative of e^(2x)?

Answer: 2e^(2x)

Question: Evaluate ∫e^x dx.

Answer: e^x + C

Question: Find the second derivative of x³.

Answer: 6x

Question: Solve for dy/dx if y = x² + 5.

Answer: dy/dx = 2x

Question: What is the derivative of ln(2x)?

Answer: 1/x

Statistics

Question: What is the mean of 2, 4, 6, 8, 10?

Answer: 6

Question: Find the median of 1, 3, 5, 7, 9.

Answer: 5

Question: What is the mode of 3, 3, 5, 7, 7, 7, 9?

Answer: 7

Question: Calculate the range of 12, 15, 20, 25, 30.

Answer: 18

Question: What is the variance of 2, 4, 6, 8?

Answer: 6.67

Question: Find the standard deviation of 2, 4, 6, 8.

Answer: 2.58

Question: What is the probability of getting a 6 on a fair die?

Answer: 1/6

Question: Calculate the mean of 10, 20, 30, 40, 50.

Answer: 30

Question: Find the median of 3, 8, 9, 12, 15.

Answer: 9

Question: What is the mode of 6, 6, 10, 15, 20?

Answer: 6

Question: Find the range of 5, 10, 15, 25, 30.

Answer: 25

Question: Calculate the variance of 1, 2, 3, 4, 5.

Answer: 2.5

Question: What is the standard deviation of 1, 2, 3, 4, 5?

Answer: 1.58

Question: What is the probability of drawing a red card from a deck of cards?

Answer: 1/2

Question: Find the mean of 5, 10, 15, 20, 25.

Answer: 15

Question: What is the median of 4, 8, 12, 16, 20?

Answer: 12

Question: Calculate the mode of 5, 7, 7, 9, 11.

Answer: 7

Question: Find the range of 2, 4, 6, 8, 10.

Answer: 8

Question: What is the variance of 3, 5, 7, 9, 11?

Answer: 8

The BA Mathematics question paper includes questions from various topics like algebra, calculus, and statistics, each essential for building strong problem-solving skills. Regular practice with these types of questions and answers ensures better performance in exams