QUANTITATIVE TECHNIQUES IIBM ONGOING EXAM ANSWER SHEETS PROVIDED WHATSAPP 91 9924764558

**Quantitative Techniques**

**Section A: Objective Type & Short Questions (30 Marks)**

**Part One: **

Multiple Choices:

- The value of 3n+4 – 6.3n+1 is
- 27.3n+1 b. 21.3n-1 c. 21.3n+1 d. 27.3n-1 e. 21.3-n-1
- The value of x which satisfies the question x/2-x/4=x-9 is
- 12 b. 14 c. 16 d. 18 e. 20
- The sum of 5ax-7by+cz and ax+2by-cz is
- 6ax+5by b. 6ax-5by c. 6ax+5by-2cz d. 6ax-5by-cz e. 6ax-5by+2cz.
- The product of 3x-5 and 2x+7 is
- 6×2-11x-35 b. 6×2-11x+35 c. 6×2+11x-35 d. 6×2 +10x-35 e. 6×2+11x+35
- The 37th term in the series -2.8, 0, 2.8,…. Is
- 98 b. 89 c. 87 d. 78 e. 68
- The sum of the series 14, 64, 114, … to 20 terms is
- 7890 b. 8970 c. 9780 d. 10820 e. 10920
- The last term in the series 2, 4, 8, … to 9 terms is
- 612 b. 512 c. 412 d. 312 e. 212
- If an unbiased coin is tossed 3 times then the probability that at least one head occurs is
- 0.875 b. 0.5 c. 0.375 d. 0.125 e. 0.1.
- Again in continuation with the above question the probability that 3 heads result is
- 0.100 b. 0.125 c. 0.250 d. 0.500 e. 0.875
- The line y=5-10x cuts the y axis at_________ and has slope________
- (0,10), -5 b. (0,-10), 5 c. (0,5), -10 d. (0,-5), 10 e. (0,5), 10
- If y=F(x) is the equation of a line then the slope at (5,2) is given by
- F‟(2) b. F‟(5) c. F(2) d. F(5) e. None of the above
- Slope of the line passing through the points (4,4) and (5,5) is
- 1 b. 9 c. 1/9 d. 20 e. 1/20
- An „Ogive‟ is
- A graph of ungrouped data b. A graph of grouped data c. A graph of cumulative frequencies d. A graph of ranges of fractiles e. A graph with rectangles as opposed to a line graph.
- If p=3×4 + 9xy + y3 then ∂p/∂y is given by
- 12×3+9x b. 12×3+9x+3y2 c. 9x+3y2 d. 9y+3y3 e. 12×3+9y+3y2
- For a function f(x), f‟(x)=0 at x=a then „a‟ is a point of minima if
- F(a)<0 b. F(a)=0 c. F‟‟(a)=0 d. F‟‟(a)< 0 e. F‟‟(a)>0
- The function 2×2 + 3x +2 has a
- Maximum value at x = – 3/4 b. Minimum value at x = – 2 c. Maximum value at x = -3/2 d. Minimum value at x = -3/4 e. The equation has no maxima and minima.
- The probability of getting exactly 3 heads in four tosses of a fair coin is
- 1/2 b. 1/4 c. 1/8 d. 1/10 e. 1/16
- In multiple regression, the number of normal equations will be
- Two b. Three c. One d. More than three e. More than or equal to three
- The index of industrial production is an example of
- Price index b. Value index c. Quality index d. Relative index e. Industrial production index
- As the sample size is increased, the standard error of the mean would
- Increase b. Decrease c. Remain unchanged d. May or may not increase e. The value of sample mean would be lot closer of population mean

** Part Two: **

- What do you understand by „Infeasibility‟ of the solution?
- Write about „Big – M‟ method for minimization.
- Write about the „Classical Economic Order Quantity (EOQ) models.
- Write a short note on „Interfering Float‟.

**Section B: Practical Problems (40 marks)**

**A car retailer thinks that a 40,000 mile claim for tire life by the manufacturer is too high. She carefully records the mileage obtained from a sample of 64 such tires. The mean turns out to be 38,500 miles. The standard deviation of the life of all tires of this type has previously been calculated by the manufacturer to be 7,600 miles. Assuming that the mileage is normally distributed, determine the largest significance level at which we should accept the manufacturer’s mileage claim, that is, at which we would not conclude the mileage is significantly less than 40,000 miles.**

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**Consider the following data:**

Output Total Cost (in lakhs of units) (in lakhs of rupees) 5 140 |

7 155 |

9 170 |

11 180 |

14 200 |

17 230 |

20 240 |

22 260 |

24 275 |

28 310 |

** Identify the fixed and variable cost components using the least squares method.**

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**Section C: Applied Theory (30 marks)**

**In a recent survey, senior company executives in five metros has ranked two former finance ministers Mr. Manmohan Singh and Mr. P. Chindambaram as first and second and the present finance minister Mr. Yashwant Sinha in third position as regarding their popularity. In this, an example of sampling survey? Discuss about necessity of sampling and the different methods of sampling?**

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**“Index numbers are an indispensable tool in day to day life. Comment. Also, explain with examples how index numbers provide a summary measurement of movements of a large number of economic variables. Is there a possibility that, their method of computation could give a distorted picture of reality?**