All Free Quantitative Methods MCQs with Answers
Every Quantitative Methods question in the bank, across all chapters, each with the correct answer and a written explanation. Free and unlimited, with no account needed.
360 questions · page 5 of 18
- A. Experimental method
- B. Interview method
- C. Observation method
- D. Registration method
Explanation: The observation method collects information by watching and recording events or behaviour directly.
Correct answer: Observation method- A. Comparative study
- B. Census study
- C. Follow-up study
- D. Pilot study
Explanation: A pilot study tests the questionnaire, procedures, and possible difficulties on a small scale before the main investigation.
Correct answer: Pilot study- A. Multiple-choice question
- B. Dichotomous question
- C. Ranking question
- D. Open-ended question
Explanation: An open-ended question does not restrict the respondent to listed answers, so the response can be written in the respondent's own words.
Correct answer: Open-ended question- A. Data editing
- B. Data coding
- C. Data scaling
- D. Data tabulation
Explanation: Data editing examines the collected responses for completeness, accuracy, and consistency before analysis.
Correct answer: Data editing- A. Ordinal scale
- B. Nominal scale
- C. Interval scale
- D. Ratio scale
Explanation: A nominal scale labels categories such as blood group or province, but its categories have no natural ranking.
Correct answer: Nominal scale- A. Pictogram
- B. Pie chart
- C. Bar chart
- D. Line graph
Explanation: A line graph connects values in time order and clearly shows trends, rises, and falls.
Correct answer: Line graph- A. Class midpoints
- B. Class boundaries
- C. Cumulative totals
- D. Frequency ranks
Explanation: In a frequency polygon, each frequency is plotted above the midpoint of its class and the points are joined by straight lines.
Correct answer: Class midpoints- A. Caption
- B. Title
- C. Stub
- D. Footnote
Explanation: The title states what the table presents and usually indicates its subject, place, or time period.
Correct answer: Title- A. Stratified sampling
- B. Quota sampling
- C. Cluster sampling
- D. Convenience sampling
Explanation: Cluster sampling divides the population into natural groups and selects groups for study.
Correct answer: Cluster sampling- A. Ranks of several categories
- B. Composition of one total
- C. Trend of one time series
- D. Relationship between two variables
Explanation: A scatter diagram plots paired values to show the direction and strength of association between two variables.
Correct answer: Relationship between two variables- A. 12x^3 - 6x^2 + 5
- B. 12x^3 - 2x^2 + 5
- C. 3x^3 - 6x^2 + 5
- D. 12x^4 - 6x^3 + 5
Explanation: Apply the power rule to each term: the derivative of 3x^4 is 12x^3, and the derivative of -2x^3 is -6x^2.
Correct answer: 12x^3 - 6x^2 + 5- A. x = 0
- B. x = 1
- C. x = 3
- D. x = 2
Explanation: The first derivative is 3x^2 - 12x + 9, which gives critical points x = 1 and x = 3.
Correct answer: x = 3- A. 5
- B. 6
- C. 7
- D. 8
Explanation: Differentiate the function to obtain dy/dx = 2x + 3. Substituting x = 2 gives a tangent slope of 7.
Correct answer: 7- A. 80 cm²
- B. 90 cm²
- C. 100 cm²
- D. 120 cm²
Explanation: If the sides are x and 20 - x, the area is A = x(20 - x). This quadratic is maximised at x = 10, giving a square with area 10 × 10 = 100…
Correct answer: 100 cm²- A. 8
- B. 10
- C. 12
- D. 16
Explanation: Differentiate to get f'(x) = 2x - 16/x². Setting this equal to zero gives x³ = 8, so x = 2.
Correct answer: 12- A. 1 cm
- B. 2 cm
- C. 3 cm
- D. 4 cm
Explanation: The volume is V(x) = x(12 - 2x)². Differentiating gives critical values x = 2 and x = 6, but x = 6 produces zero volume, so the maximum…
Correct answer: 2 cm- A. Zero
- B. One
- C. Three
- D. Two
Explanation: The second derivative is f''(x) = 12x(x - 2), which changes sign at both x = 0 and x = 2. Therefore, the curve has two points of inflection.
Correct answer: Two- A. 10 units
- B. 20 units
- C. 30 units
- D. 40 units
Explanation: The derivative is P'(q) = -2q + 40. Setting marginal profit equal to zero gives q = 20, and the negative coefficient of q² confirms that…
Correct answer: 20 units- A. -4/3
- B. -3/4
- C. 3/4
- D. 4/3
Explanation: Implicit differentiation gives 2x + 2y(dy/dx) = 0, so dy/dx = -x/y. At (3, 4), the slope is -3/4.
Correct answer: -3/4- A. -4
- B. -2
- C. 2
- D. 4
Explanation: The critical points in the interval are x = -1 and x = 1, and the endpoints are -2 and 2.
Correct answer: 2