Bitsat Maths Questions and Answers

The Bitsat exam is a crucial entrance test for admission to engineering colleges. One of the key sections is mathematics, which requires a thorough understanding of various topics. This article provides a detailed collection of questions and answers to help students practice and improve their problem-solving skills for the Bitsat mathematics section.

BITSAT Maths Questions and Answers

Question: What is the derivative of sin x?
Answer: The derivative of sin x is cos x.

Question: Find the integral of x².
Answer: The integral of x² is (x³)/3 + C, where C is the constant of integration.

Question: What is the value of sin 45°?
Answer: The value of sin 45° is √2/2.

Question: If a straight line passes through the origin, what is the slope of the line?
Answer: The slope of the line is the ratio of the vertical change to the horizontal change. If it passes through the origin, the slope can be calculated based on the points on the line.

Question: Solve the equation 2x + 5 = 9.
Answer: To solve for x, subtract 5 from both sides to get 2x = 4. Then divide both sides by 2 to get x = 2.

Question: What is the area of a triangle with base 5 cm and height 8 cm?
Answer: The area of the triangle is (1/2) * base * height, so the area is (1/2) * 5 * 8 = 20 cm².

Question: Find the sum of the first 20 natural numbers.
Answer: The sum of the first n natural numbers is given by the formula S = n(n+1)/2. For n = 20, S = 20(21)/2 = 210.

Question: What is the product of 12 and 15?
Answer: The product of 12 and 15 is 180.

Question: Solve the quadratic equation x² – 5x + 6 = 0.
Answer: The equation factors to (x – 2)(x – 3) = 0. So, the solutions are x = 2 and x = 3.

Question: What is the perimeter of a rectangle with length 7 cm and width 4 cm?
Answer: The perimeter of the rectangle is 2 * (length + width) = 2 * (7 + 4) = 22 cm.

Question: Find the roots of the equation 3x² + 6x – 9 = 0.
Answer: The equation factors to 3(x² + 2x – 3) = 0. The roots are x = -3 and x = 1.

Question: What is the value of cos 60°?
Answer: The value of cos 60° is 1/2.

Question: Find the derivative of x³.
Answer: The derivative of x³ is 3x².

Question: What is the integral of cos x?
Answer: The integral of cos x is sin x + C.

Question: What is the volume of a sphere with radius 4 cm?
Answer: The volume of a sphere is given by (4/3)πr³. For r = 4 cm, the volume is (4/3)π(4)³ = 268.08 cm³.

Question: Solve for x in the equation 5x – 7 = 18.
Answer: Add 7 to both sides to get 5x = 25. Then divide both sides by 5 to get x = 5.

Question: What is the slope of the line y = 3x + 2?
Answer: The slope of the line is the coefficient of x, which is 3.

Question: If the perimeter of a square is 16 cm, what is its side length?
Answer: The perimeter of a square is 4 times the side length. So, the side length is 16/4 = 4 cm.

Question: What is the value of tan 45°?
Answer: The value of tan 45° is 1.

Question: Find the value of x in the equation 3x – 8 = 10.
Answer: Add 8 to both sides to get 3x = 18. Then divide both sides by 3 to get x = 6.

Question: What is the area of a circle with radius 7 cm?
Answer: The area of the circle is πr². For r = 7 cm, the area is π(7)² = 153.94 cm².

Question: Solve the equation 4x + 9 = 17.
Answer: Subtract 9 from both sides to get 4x = 8. Then divide both sides by 4 to get x = 2.

Question: What is the integral of x³?
Answer: The integral of x³ is (x⁴)/4 + C.

Question: What is the solution to the system of equations: x + y = 10 and x – y = 4?
Answer: Adding both equations gives 2x = 14, so x = 7. Substituting x = 7 into x + y = 10 gives y = 3.

Question: What is the area of a trapezium with bases 8 cm and 12 cm, and height 5 cm?
Answer: The area of the trapezium is (1/2) * (sum of bases) * height = (1/2) * (8 + 12) * 5 = 50 cm².

Question: Find the solution to the equation 2x + 3y = 12 and x – y = 1.
Answer: Solve the second equation for x: x = y + 1. Substitute into the first equation to get 2(y + 1) + 3y = 12. Solving gives y = 2 and x = 3.

Question: What is the sum of the interior angles of a triangle?
Answer: The sum of the interior angles of a triangle is always 180°.

Question: If a triangle has angles of 50°, 60°, and 70°, is it a valid triangle?
Answer: Yes, because the sum of the angles is 180°, which is a requirement for a valid triangle.

Question: What is the equation of a line passing through the points (2, 3) and (4, 7)?
Answer: The slope of the line is (7 – 3)/(4 – 2) = 2. Using the point-slope form, the equation is y – 3 = 2(x – 2), which simplifies to y = 2x – 1.

Question: Find the determinant of the matrix:
1 2
3 4
Answer: The determinant is (1 * 4) – (2 * 3) = 4 – 6 = -2.

Question: What is the value of sin 30°?
Answer: The value of sin 30° is 1/2.

This collection of Bitsat mathematics questions and answers provides students with an excellent opportunity to practice key concepts and enhance their understanding. By consistently solving these problems, students can improve their exam readiness and approach challenging topics with confidence.