Quantitative Techniques in Management - Objectives. Document Contains 40 Questions and Answers.

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Question No: 1 Which of the following is not correct about construction of bar charts? All bars should rise from the same base line Width of the bar should be proportional to the data represented ... The bars should be arranged from the left to right Length of the bars should be proportional to the data represented Question No: 2 Which of the following is not true about mean absolute deviation? Mean deviation is obtained by calculating the absolute deviations of each observation from mean Mean deviation is a more comprehensive measure compared to range It is conducive to further algebraic treatment It cannot be computed for distributions with open end classes. Question No: 3 The value index number measures the-- Changes in prices of a basket of commodities from one period to another Changes in quantities consumed of a basket of commodities over a period of timeChange in the total monetary value of a basket of commodities over a period of time Change in the retail prices of various commodities Question No: 4 A market researcher wants to find out the buying behavior of the typical household during the weekends. He divides the city into various localities such that each locality represents the city population in terms of age group, gender and social status. Then he randomly selects five localities and surveys each household. Which of the following sampling techniques best describes the method used by the researcher? Cluster sampling Cluster sampling Stratified sampling Convenience sampling Question No: 5 If every item in the data set is increased by the same quantity then the standard deviation of the data set-- Remains the same Increases by the same quantity by which every data item is increased Decreases by the same quantity by which every data item is increasedIncreases by the square root of the same quantity by which every data item is increased Question No: 6 Which of the following is true with regard to a linear equation Y – a – bX = 0, where X is the independent variable and Y is the dependent variable? The slope of the straight line is ‘a’ The Y-intercept of the straight line is 0 The Y-intercept of the straight line is ‘b’ The slope and the Y-intercept remain constant for all combinations of X and Y values which satisfy the equation Question No: 7 Which of the following quantitative method is not used by managers to take decision? Linear programming Time series Regression analysis Hypothesis testing Question No: 8 In the graphical method of solving linear programming problems the feasible region is the set of all points--Which does not satisfy any of the constraints? Which satisfy exactly one of the constraints? Which satisfy all the constraints? At which the objective function has the same value? Question No: 9 Which of the following is false in regard to histogram? The class intervals are represented by the base of the rectangles The frequencies are represented by the heights of the rectangle If the class intervals are of equal width then the bases of the rectangles will be equal in length The tallest rectangle in a histogram represents the class interval with the lowest frequency Question No: 10 Which of the following measures in not affected by the presence of extreme values in a data set? Range Arithmetic mean Standard deviationMedian Question No: 11 1\2x + 1/3y – 1/3z = -1 1/3x – 1/2y -1/6z = 4 1/6x – 5/6y + 1/2z = 3 The values of x in the above simultaneous equations would be-- 3 6 9 12 Question No: 12 If the regression equation is the perfect estimator of the dependent variable then which of the following is false? The standard error of estimate is zero The coefficient of correlation is zero The coefficient of determination is 1.00 All the data points fall on the regression line Question No: 13 The following details are available with regard to a data set: Sx = 33, Sx2 = 199, n = 6. If each observation in the data set is multiplied by 2 then the standard deviation of the resulting valueswill be equal to: (35/3)1/2 35/3 3 25 Question No: 14 The following data pertains to three commodities: Commodity Price in 2004 (Rs. /kg) Price in 1994 (Rs. /kg) Rice Wheat Pulses 11.50 13.50 26 9.50 8.50 20 The base year is 1994. The unweighted aggregates price index for the year 2004 is approximately-- 115.62 125.45 134.21 250.55 Question No: 15 Which of the following represents the proportion of variation in the dependent variable that isexplained by the regression line? Coefficient of determination Coefficient of correlation Coefficient of variation Standard error of estimate Question No: 16 If the coefficient of correlation between the two variables lies between -1 and 0, then the covariance between them is-- Positive Negative Zero qual in magnitude to the variances of both the variables Question No: 17 If bYX is the slope of coefficient of regression line of Y on X, and bXY is the slope coefficient of regression line of X on Y then which of the following is true? bYX is positive implies that bXY is positive bYX is positive implies that bXY is negative.bYX and bXY are reciprocals. The product of bYX and bXY is zero. Question No: 18 A graphical method of representing states of nature and courses of action involved in decision making is referred to as-- Decision tree Histogram Scatter diagram Frequency distribution Question No: 19 If the probability of occurrence of one event is not affected by the occurrence of another event and vice versa then the two events are said to be-- Collectively exhaustive Independent Dependent Mutually exclusive Question No: 20Bayes’ theorem helps the statistician to calculate--- Dispersion Subjective probability Posterior probability Classical probability Question No: 21 In a binomial distribution the probability of getting zero or more numbers of successes is equal to-- 0 1 The probability of getting zero success The probability of getting successes in all trials Question No: 22 Which of the following measures represent the scatter of the values in a data set? Arithmetic mean Geometric meanStandard deviation Median Question No: 23 As the sample size increases-- The variation of the sample mean from the population mean becomes larger The variation of the sample mean from the population mean becomes smaller The variance of the sample becomes less than the variance of the population The standard deviation of the sample becomes more than the standard deviation of the population. Question No: 24 In the graphical method of solving linear programming problems if there is a unique optimal solution, then the optimal solution-- Is always found at the center of the feasible region Is always at the origin Lies outside the feasible region Is located at one of the corner points of the feasible region Question No: 25 A multiple regression equation has--Multiple dependent variables One independent variable One dependent variable A standard error of estimate equal to zero Question No: 26 Which of the following conditions indicate the existence of multiple optimal solutions when a linear programming problem is solved by the graphical method? One of the constraints is parallel to the horizontal axis The objective function is parallel to the vertical axis The objective function is parallel to one of the edges of the feasible region which is in the direction of optimal movement of the objective function If two or more constraints are parallel to each other Question No: 27 Three persons enter into a railway carriage and there are 8 seats available. In how many ways they can seat themselves? 24 33640 56 Question No: 28 In which of the following the simple harmonics mean is appropriate? A set of ratios using the numerators of the ratio data as weights A set of ratios using the denominators of the ratio data as weights A set of ratios which have been calculated with the same numerators A set of ratios which have been calculated with the same denominators Question No: 29 Which of the following statements is not true about standard deviation? Combined standard deviation of two or more groups can be calculated The sum of the squares of the deviations of items of any series from a value other than the arithmetic mean would always be smaller Standard deviation is independent of any change of origin Standard deviation is dependent on the change of scale Question No: 30 Which of the following is/are true with respect to geometric mean?I. Geometric mean cannot be calculated if any of the value in the set is zero. II. Geometric mean is appropriate for averaging the ratios of change, for average of proportions, etc. III. Geometric mean is considered most suitable average for index numbers. Only (I) above Only (II) above All (I), (II) and (III) above Only (II) above Question No: 31 The probability of getting two heads from three tosses of a fair coin is-- 1/8 1/4 3/8 1/2 Question No: 32 If A and B are two mutually exclusive events and P(A) = 2/3, then the probability of events A and B happening together is-- 01/3 2/3 1/2 Question No: 33 Which of the following can be directly used as the test statistic in hypothesis tests on the basis of non standardized scale? I) The sample mean, when the test involves the population mean. II) The difference between two sample means, when the tests involve the difference between two population means. III) The sample proportion when the test is about the population proportion Only (I) above Only (II) above Only (III) above All (I), (II), (III) above Question No: 34 A box contains 60 ball point pens out of which 10 pens are defective. 8 pens are randomly picked up from the box. The probability distribution of the number of pens which are randomly picked, will be-- A discrete uniform distribution A binomial distributionA hyper geometric distribution A Chi- square distribution Question No: 35 If we consider the process of selecting a simple random sample as an experiment then which of the following can be treated as random variable(s)? I. Sample mean II. Sample standard deviation III. Sample range IV. Sample median Only (I) above Only (II) above All (I), (II), (III), (IV) above Only (IV) above Question No: 36 The covariance of random variable with itself is always-- A positive quantity A negative quantity 0 Less than its expected valueQuestion No: 37 A man has 6 friends. In how many ways he can invite one or more of them to a party? 63 64 119 120 Question No: 38 Find x; if logx/log2 = log36/log4 0 2 4 6 Question No: 39 The empirical relationship between range (R) and mean deviation (M.D) is-- 2R=15M.D 3R=17M.DR=17M.D 3R=M.D Question No: 40 The assignment model is a special case of the ________ model. maximum-flow transportation shortest-route none of the above [Show More]

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