All Free Quantitative Methods MCQs with Answers

• A. 9/20
• B. 2/5
• C. 5/6
• D. 3/10

Explanation: Multiply the numerators and denominators: 90/300. Reducing this fraction by 30 gives 3/10, while the other options result from incomplete…

• A. 15/16
• B. 7/15
• C. 16/15
• D. 5/8

Explanation: Division by a fraction means multiplication by its reciprocal, so (7/8) × (15/14) equals 15/16.

• A. 81
• B. 91
• C. 95
• D. 105

Explanation: Convert 35% to 35/100 and calculate 260 × 35/100 = 91. The nearby values usually result from using an incorrect percentage or arithmetic…

• A. Rs. 680
• B. Rs. 710
• C. Rs. 700
• D. Rs. 720

Explanation: Since 12.5% equals one eighth, the reduction is Rs. 100. Subtracting this from Rs. 800 gives a new price of Rs. 700.

• A. 54
• B. 63
• C. 72
• D. 84

Explanation: Four parts represent 28 balls, so one part represents 7 balls. The nine blue parts therefore represent 9 × 7 = 63 balls.

• A. 8
• B. 9
• C. 10
• D. 13

Explanation: Every nonzero number raised to the power zero equals 1, and 2³ equals 8. Therefore, the sum is 1 + 8 = 9.

• A. 2/3
• B. 4/5
• C. 3/4
• D. 5/6

Explanation: The greatest common divisor of 18 and 24 is 6. Dividing both terms by 6 gives 3/4, whereas the other fractions have different values.

• A. No change
• B. A 1% increase
• C. A 10% decrease
• D. A 1% decrease

Explanation: Taking an initial salary of 100, the increase gives 110 and the later decrease gives 99.

• A. Rs. 120
• B. Rs. 108
• C. Rs. 96
• D. Rs. 135

Explanation: One notebook costs Rs. 15 because 45 is divided by 3. Eight notebooks therefore cost 8 × 15 = Rs. 120.

• A. 6
• B. 8
• C. 12
• D. 24

Explanation: Cancel common powers to obtain 2^(4−2) × 3^(2−1), which is 2² × 3 = 12. Treating the bases as one combined power leads to the other results.

• A. Average difference
• B. Absolute magnitudes
• C. Linear association
• D. Percentage change

Explanation: Correlation measures the direction and strength of a linear relationship between two variables.

• A. -1 and 1
• B. 0 and 1
• C. - infinity and infinity
• D. -100 and 100

Explanation: Pearson's correlation coefficient ranges from -1 to +1. A value of +1 or -1 indicates perfect linear association, while 0 indicates no…

• A. Strong and positive
• B. Strong and negative
• C. Weak and positive
• D. Weak and negative

Explanation: The magnitude 0.85 shows a strong relationship, while the negative sign shows that the variables move in opposite directions.

• A. X and Y have no relationship of any kind
• B. The means of X and Y are equal
• C. X and Y have no linear relationship
• D. The variances of X and Y are zero

Explanation: A zero Pearson correlation means that no linear relationship is detected.

• A. Replacing one variable by its square
• B. Adding random error to one variable
• C. Adding a constant to one variable
• D. Removing observations selectively

Explanation: Adding a constant shifts the location of a variable but does not change its pattern of variation with the other variable.

• A. Intercept of the equation
• B. Mean value of Y
• C. Correlation coefficient
• D. Slope of the regression line

Explanation: The coefficient of X is the slope, so the value 4 means that predicted Y increases by 4 units when X increases by one unit.

• A. 8
• B. 12
• C. 17
• D. 32

Explanation: Substituting X = 4 gives Y = 20 - 3(4) = 8. The negative slope indicates that the predicted value of Y decreases as X increases.

• A. r
• B. r squared
• C. 1 minus r
• D. The standard error

Explanation: The coefficient of determination is R squared, and in simple regression it equals the square of the correlation coefficient, r squared.

• A. -0.36
• B. -0.60
• C. 0.36
• D. 0.60

Explanation: The coefficient of determination is calculated as r squared, so (-0.6) squared equals 0.36.

• A. Uses one variable to predict another
• B. Always produces a value between -1 and 1
• C. Cannot show a negative relationship
• D. Requires both variables to have equal units

Explanation: Regression models the dependence of one variable on another and can be used for prediction.