Quantitative Techniques

JKPSC Assistant Professor (Commerce) · Commerce · 55 practice questions with answers and explanations: 4 Easy, 44 Medium, 7 Hard.

Sample questions

Sample Easy question 1

The regression line of y on x is used to:

  1. Estimate y for a given value of x
  2. Find the range of y
  3. Find the mean of x
  4. Estimate x for a given y
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Answer: A. Its slope is b(y on x).

Sample Easy question 2

Questionnaire design begins with:

  1. Defining the information needed
  2. Mailing it
  3. Printing the form
  4. Coding answers
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Answer: A. Questions follow from the objectives.

Sample Easy question 3

In a linear programming problem, the function to be maximised or minimised is the:

  1. Constraint
  2. Objective function
  3. Feasible region
  4. Slack variable
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Answer: B. The constraints limit the values of the variables.

Sample Medium question 4

The components of a time series are trend, seasonal, cyclical and:

  1. Constant variation
  2. Irregular variation
  3. Normal variation
  4. Fixed variation
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Answer: B. The irregular part is random.

Sample Medium question 5

A moving average is used to:

  1. Find the mode
  2. Smooth out fluctuations in time-series data
  3. Compute the median
  4. Increase fluctuations
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Answer: B. It shows the trend more clearly.

Sample Medium question 6

If a bounded LP problem has an optimum, it is found at:

  1. The origin always
  2. A corner point of the feasible region
  3. The centre of the region
  4. A point outside the region
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Answer: B. This is the basis of the graphical method.

Sample Hard question 7

The expected value of perfect information is:

  1. The average payoff
  2. The minimum payoff
  3. The maximum payoff
  4. The expected payoff with perfect information minus the best expected payoff without it
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Answer: D. It is the most one should pay for information.

Sample Hard question 8

The regression coefficient b(y on x) equals:

  1. r ÷ (σy ÷ σx)
  2. r × σx × σy
  3. r × (σx ÷ σy)
  4. r × (σy ÷ σx)
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Answer: D. b(x on y) = r × σx ÷ σy.

Sample Hard question 9

Maximise Z = 3x + 2y subject to x + y ≤ 4, x ≤ 3 and x, y ≥ 0. The maximum value of Z is:

  1. 9
  2. 8
  3. 11
  4. 12
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Answer: C. The corner points are (0,0), (3,0), (3,1) and (0,4), giving Z = 0, 9, 11 and 8.

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