UNIVERSITY OF CALICUT SCHOOL OF DISTANCE EDUCATION QUESTION BANK Complementary Course for BA ECONOMICS (2014 Admission onwards) I Semester Mathematical tools for economics I 1. What is Ans: (b) 2. What is Ans: b 3 What is 4. What is
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Ans: (b) 12.What is 13. What is 14. What is 15. What is 16. A class of 32 students has 12 girls. What is the ratio of girls to boys. (a) 3:5 (b) 5:3 (c) 3:8 (d) 8:3 17. Raju can run a mile in 5 minutes and 50 seconds. Ramu can run a mile in 6 minutes and 40 seconds. What is the ratio of Raju's time to Ramu's time? (a) 5.5:6.4 (b) 55:64 (c) 7:8 (d) 8:7 Ans:(c) 18. The distance between two towns on a map is 5 cm. If the real distance between the two towns is 25 km, what is the scale of the map (a) 1 : 5,000,000 (b) 1 : 500,000 (c) 1 : 50,000 (d) 1 : 5,000
Ans: (b) 19. A real horse is 1.8 m high. A statue of the horse is 3 m high. What is the ratio of the height of the horse to the height of the statue (a) 3:5 (b) 2:3 (c) 5:3 (d) 6:1 20. The tallest building in the world, the BurjKhalifa in Dubai, is 828 metres tall. A model of the building is made using the ratio 1 : 5,000. How high is the model in centimetres (a) 1,656 cm (b) 165.6 cm (c) 16.56 cm (d) 1.656 cm 21. A recipe for pastry has flour, butter and water mixed in the ratio 24 : 8 : 3. If Raji follows the recipe and uses 3 cups of flour, how many cups of butter should she use (a) (b) ) (c)) (d) ) 22. A recipe for pastry has flour, butter and water mixed in the ratio 24 : 8 : 3. If Raji follows the recipe and uses 3 cups of flour, how many cups of butter should she use (a) (b) ) (c) ) (d) ) 23. What is (a) (b) (c) 2 (d) 24. What is Ans: (c. 25. Unknown values in an equation are called (a) Constants (b) parameters (c) Variables (d) all the above 26. Given or known values in an equations are called (a) Constants (b) Parameters (c) Coefficients (d) all of the above 27. A variable which is free to take any value we choose to assign to it is called
(a) Dependent variable (b) independent variable (c) Continuous variable (d) Discrete variable 28. The variable that stands alone on the left-hand side of the equation such as y = 5x + 2 is known as (a) Dependent variable (c) Endogenous variable 29. Given y=2x-6=2, then x=. (a) 8 (b) 4 (c) 6 (d) -4 2 30. Given x 4, then x=. 3 (a) 2.5 (b) 3 (c) 31. If 4x 2 3x 12, then x is 10 3 (b) independent variable (d) explained variable (d) 6 (a) 10 (b) 2 (c) 12 (d) 8 32. Given the demand and supply functions qd = -8p + 2000 and qs =12p 200 respectively, the equilibrium price is (a) p = 100 (b) p = 110 (c) p = 120 (d) p = 140 33. The equation 7z 1 5 3z will be satisfied for z equal to (a) 3 (b) 1 (c) -1 (d) 2 34. Pick up the correct value of x for x 30 (a) 7 (b) 6 (c) 5 (d) 4 35. 8 is the solution of the equation 36. x 4 x 5 (a) 12 4 3 (c) x 6 x 5 2 3 x 24 4 x, then x= 5 4 (b) 3 15 x 4 x 10 2 9 x 4 x 10 (d) 8 2 9 (a) 8 (b) 10 (c) 16 (d) -8 37. The fourth part of a number exceeds the sixth part by four. The number is
(a) 46 (b) 64 (c) 58 (d) 48 38. The solution of the simultaneous equations 3x 4y 7,4x 7 3 is (a) (2,2) (b) (1,1) (c) (1,2) (d) (-1,2) x y 39. The values of x and y satisfying the equations 2, x 2y 8 are given by the pair 2 3 (a) (4,-3) (b) (4,6) (c) (2,3) (d) (-2,-6) 40. The pair satisfying the equations x 6y 32, x y x y 11 9 is given by (a) (18, 3) (b) (20,2) (c) (22,4) (d) None of these 41. The pair satisfying the equations x 4y 0, x 3y 28 (a) (3, 4) (b) (4,3) (c) (4, 16) (d) (16,4) 42. x x 10 2 3, Here the value of x is (a) 10 (b) -10 (c) -12 (d) 12 43. The value of x in the equation 4x 3 2x 5 (a) 1 (b) 2 (c) -2 (d) 8 44. The values of x satisfying the equations 3x 2 x 6 is given by (a) 4 (b) 8 (c) 2 (d) -2 45. The curve of a linear equation is... (a) parabola (b) a liner (c) hyper-parabola (d) none of the above 46. Two intersecting lines of simultaneous equation give... (a) An unique solution (c) no solution (b) infinite solution (d) none of the above 47. Consider the equations, 6x 3y 9, 2x y 9 0 represents two lines which are, (a) Intersecting at exactly two points (c) parallel is (b) Intersecting at exactly one point (d) none of the above 48. The pair satisfying the equations x 4y 14 0, 5x y 13 0 (a) (-3, 2) (b) (2,-3) (c) (1, 2) (d) (2,4) 49. Thrice a number decreased by 22 (a) x-22 (b) 3 + x (c) 3x-22 (d) 3(x-22) is
50. 2(5x 2) 8x (a) 2 (b) -2 (c) 1 (d) 3 51. The equation x=12 can be written in the two variable case as (a) 1.x+0.y=12 (b) 0.x+1.y=12 (c) 1.x+1.y=12 (d) All of the above 52. A linear equation in two variables is of the form ax + by + c = 0, where (a) a=0, b=0 (b) a 0, b 0 (c) both a and b (d) none of the above 53. The linear equation 3x-4y=18 has (a) Infinitely many solution (c) Two solution x 54. 7 11, x =... 3 (b) unique solution (d) no solution (a) 9 (b) -9 (c) 12 (d) -12 Answers 25. (c) Variables 26. (d) all of the above 27. (b) independent variable 28. (a) Dependent variable 29. (b) 4 30. (d) 6 31. (a) 10 32. (b) p = 110 33. (c) -1 34. (b) 6 x 4 x 10 35. (d) 8 2 9 36. (c) 16 37. (d) 48 38. (b) (1,1) 39. (c) (2,3) 40. (b) (20,2) 41. (d) (16,4) 42. (d) 12 43. (a) 1 44. ( c) 2 45. (b) a line 46. (a) An unique solution 47. (c) parallel 48. (b) (2,-3) 49. (c) 3x-22 50. (a) 2 51. (c) 1.x+1.y=12 52. (b) a 0, b o 53. (a) Infinitely many solution 54. (d) -12