Practice Test

Q1) The cost of manufacturing x tables is given by C=110 + 4x and the selling price of each table is Rs.(304-x) . How many tables should be sold so as to get maximum profit ? Also find the maximum profit. Show Answer

Q2) The edge of a cube is 8cms. but it is wrongly measured as 8.15 cm. Fiond the consequent error, relative error and percentage of error in calculating the volume of the cube. Show Answer

Q3) Divide 50 into two parts such that their product is maximum. Show Answer

Q4) Divide 100 into two parts such that the sum of their squares is minimum. Show Answer

Q5) The length of the side of a cube is measured to be 4cm., with a possible error of 0.01 cm. Find the consequent error in the volume of the cube. Show Answer

Q6) If there is an error of 0.3% in the measurement of the radius of a spherical balloon, find the percentage error in calculation of its volume. Show Answer

Q7) Find radius for maximum volume of right circular cylinder, if sum of its radius & height is 6 mts. Show Answer

Q8) The radius of a sphere is measured as 10 cm wi6th an error of 0.04cm. Find the approximate error in calculating its volume. Show Answer

Q9) If the sum of two numbers is 15 and the sum of their squares is minimum, the numbers are Show Answer

Q10) A rod 72 meters long is bent to form a rectangle. Its dimensions, when its area is maximum, are Show Answer

Q11) In case of decreasing function the derivative of function is positive. Show Answer

Q12) The demand is called inelastic if the elasticity of demand is Show Answer

Q13) The price elasticity of demand is Show Answer

Q14) The sum of two numbers is 20. If the product of the square of one number and cube of the other is maximum, then the number are Show Answer

Q15) The denominator of a fraction is greater than the square of numerator by 16, then least value of the fraction is Show Answer

Q16) An absolute maximum must occur at a critical point or at an end point. Show Answer