Free Quantitative Reasoning MCQs with Answers

371. A nurse has to record her temperature in Celsius but her thermometer reads Fahrenheit. A patient's temperature is 100.7°F. What is the temperature in °C?(C x 9/5) +32= F

• A. 32 °C
• B. 36.5°C
• C. 38.2
• D. 213.3°C

Explanation: The conversion from Fahrenheit to Celsius is done using the formula: C = (F - 32) × 5/9. For a temperature of 100.7°F, subtract 32 to get 68.7. Next, multiply 68.7 by 5/9, resulting in approximately 38.167°C. Hence, the correct answer is approximately 38.2°C, indicating a fever.Option A (32°C) is incorrect as it reflects an unrelated temperature value. Option B (36.5°C) represents a normal body temperature, not accounting for the fever. Option D (213.3°C) is an unrealistic body temperature, likely stemming from a calculation error.

372. In the graph below, no axes or origin is shown. If point B's coordinates are (10, 3), which of the following coordinates would most likely be A's?

• A. (17, -2)
• B. (10, 6)
• C. (6, 8)
• D. (-10, 3)

Explanation: The correct answer is (-10, 3). In a graph where no axes or origin are shown, common practice is to assume a symmetrical relationship around the origin or one of the axes. Since point B is at (10, 3), point A being at (-10, 3) suggests symmetry across the y-axis. Option A, (17, -2), and Option C, (6, 8), suggest arbitrary points that do not maintain any clear symmetrical relationship. Option B, (10, 6), suggests alignment along the y-axis, which is not supported by the graph's unspecified nature.

373. Parveen flips a coin and then spins the arrow on the spinner.What is the total number of outcomes for this event?

• A. 7
• B. 10
• C. 15
• D. 25

Explanation: To calculate the total number of outcomes, consider both the coin and the spinner. A coin flip results in 2 possible outcomes: heads or tails. Assuming the spinner has 5 equal sections, it results in 5 possible outcomes. Therefore, the total number of outcomes when combining the coin flip and the spinner spin is 2 (coin outcomes) × 5 (spinner outcomes) = 10. Thus, the correct answer is Option B: 10. Other options arise from incorrect assumptions about the number of sections on the spinner or errors in multiplying the outcomes.

374. A shop keeper offers a discount of 20% on a jacket and sales tax levied on the jacket is 15%.Quantity X: if a person first paid the tax then took the discount.Quantity Y: if a person first took the discount then paid the tax.

• A. Quantity X is greater than Quantity Y.
• B. Quantity Y is greater than Quantity X.
• C. Quantity X and Quantity Y are equal.
• D. The relationship cannot be determined.

Explanation: The key to solving this question is recognizing that percentage calculations are independent of the order in which they are applied when both are applied consecutively to the same base amount. In both Quantity X and Quantity Y, the final price is calculated as 0.92x:For Quantity X, applying the tax first and then the discount gives us a final amount of 0.92x. Similarly, for Quantity Y, applying the discount first and then the tax also results in a final amount of 0.92x.This demonstrates that the sequence of applying a discount and a tax does not affect the final price. Therefore, the correct choice is that both quantities are equal.

375. What is the length of a rope required to cover the boundaries of a square with area 64 squares metres?

• A. 32m
• B. 32m2
• C. 64m
• D. 64m2

Explanation: To find the perimeter of a square with an area of 64 square meters, you first calculate the side length. The area of a square is side length squared, so for an area of 64 square meters, the side length is the square root of 64, which is 8 meters. The perimeter of a square is 4 times the side length, so it is 4 x 8 = 32 meters. Option A is correct. Options B and D are incorrect because they use square meters, which is a unit for area, not perimeter. Option C is incorrect because it confuses the area with the perimeter.

376. A circular cycling track has a circumference of 1km. If two cyclists starting simultaneously have constant speeds of 15km/hr and 20km/hr, how long will it take them to meet at the starting point again?

• A. 6 minutes
• B. 9 minutes
• C. 12 minutes
• D. 15 minutes

Explanation: The key to solving this problem is understanding the concept of relative speed in circular motion. The relative speed of the two cyclists is the difference in their speeds, which is 5 km/hr. When we convert this to km/minute, we get 0.0833 km/minute. Since the circumference of the track is 1 km, we can use the formula time = distance / speed to calculate that it will take them 1/0.0833 = 12 minutes to meet again at the starting point. The other options represent the time it would take if they were moving at a combined speed of 10 km/hr (Option A), approximately 6.67 km/hr (Option B), and 5 km/hr (Option C), none of which are the case.

377. If a > b >1, then 1/b - 1/a - 1/ab

• A. Is greater than 1.
• B. Is greater than a.
• C. Is greater than b.
• D. Cannot be determined from the information given.

Explanation: The expression 1/b - 1/a - 1/ab involves variables a and b, and its value depends on particular values of these variables. Given the inequalities a > b > 1, it is not possible to simplify this expression to a form where its magnitude can be consistently compared against constants or variables like 1, a, or b. Thus, without specific numerical values for a and b, the statement about the expression's magnitude cannot be determined, making the correct answer 'Cannot be determined from the information given.' Other options are incorrect because they assume specific relationships or values that are not justified by the given inequalities.

378. If 2a = 7b and 14b = c, then a is equal to

• A. 4c
• B. 2c
• C. c
• D. c/4

Explanation: To solve the given problem, start by substituting the second equation into the first. We have 2a = 7b and 14b = c. From 14b = c, we can express b as b = c/14. Substitute this into the first equation: 2a = 7(c/14). Simplifying, we obtain 2a = c/2. Divide both sides by 2, resulting in a = c/4. Therefore, the correct answer is c/4.Option A: 4c assumes that a is multiplied by c in a way that does not align with the given equations. Option B: 2c suggests an incorrect direct proportion between a and c. Option C: c implies that a equals c without considering the necessary division. Only Option D correctly reflects the relationships and divisions needed according to the given expressions.

379. In the given diagram the area of the shaded portion is

• A. 2cm2
• B. 4cm2
• C. 6cm2
• D. 8cm2

Explanation: The correct answer is 8cm2. To find the area of the shaded portion, accurately identify the shape and dimensions in the diagram. Use the appropriate geometric formula for the shape, like length × width for rectangles or base × height ÷ 2 for triangles. The other options are incorrect as they do not accurately assess the size of the shaded area based on the given diagram.

380. Which of the following figure has the maximum perimeter?[Note: All squares are of same size]

• A. Option A: A straight line of squares
• B. Option B: A 2x2 square block
• C. Option C: An L-shape with three squares
• D. Option D: A zigzag pattern of squares

Explanation: Option D, the zigzag pattern, has the maximum perimeter because it exposes the most edges by alternating the direction of each square. In contrast, options like the straight line or block arrangements have more shared edges, reducing their total perimeters. A straight line (Option A) and an L-shape (Option C) also expose more edges than a solid block (Option B), but the zigzag pattern exposes even more, making it the option with the maximum perimeter.