Free Quantitative Reasoning MCQs with Answers

51. Monthly sales of new cars in Illyria are always highest in March and September. At the end of each month, the sales figures from the 1st January up to the end of the month are recorded. These figures are then presented on a chart. Which of the four charts below could represent the car sales in lllyria?

• A. A
• B. B
• C. C
• D. D

Explanation: The correct answer is Option C, as it accurately reflects the largest increases in car sales occurring in March and September, which matches the information provided in the question. Option A, B, and D do not align with the specified peak sales months, showing significant increases in other months instead.

52. What is the mode of this data set?

• A. 15
• B. 11
• C. 16
• D. 17

Explanation: The mode is the value that appears most often in a set of data values.1950s →20 hurricanes1960s →15 hurricanes1970s →12 hurricanes1980s →17 hurricanes1990s →15 hurricanes2000s →19 hurricanes2010s →09 hurricanesArranging them in order:9, 12, 15, 15, 17, 19, 20As we can clearly see, the value that appears more often is 15. It appears twice. The rest of the values appear once. Therefore, the mode is 15. Option A is the answer.

53. What number is covered by the flower?

• A. 1
• B. 2
• C. 3
• D. 4

Explanation: To solve this problem, assign variables to each symbol: let circles = a, triangles = b, and squares = c.First, solve the equation with triangles: 2b = 4, so b = 2.Next, solve for circles using the equation a + b = 3: a + 2 = 3, thus a = 1.Then, find squares using b + c = 5: 2 + c = 5, so c = 3.Finally, solve for the flower using a + c: 1 + 3 = 4. Therefore, the flower covers the number 4.Options 1, 2, and 3 do not satisfy these conditions and do not complete the equation accurately.

54. Study the following graph and answer the question. For which of the following pairs of years the total exports from the three Companies together are equal?

• A. 1995 and 1998
• B. 1996 and 1998
• C. 1997 and 1998
• D. 1995 and 1996

Explanation: In 1995, the total exports were 220 and similarly, in 1996, the total exports were 220 as well. This option is the correct one as they both have equal number of exports.

55. P (t) = 1,800 (1.02)t The function P gives the estimated number of marine mammals in a certain area, where t is the number of years since a study began. What is the best interpretation of P(0) = 1,800 in this context?

• A. The estimated number of marine mammals in the area was 102 when the study began.
• B. The estimated number of marine mammals in the area was 1,800 when the study began.
• C. The estimated number of marine mammals in the area increased by 102 each year during the study.
• D. The estimated number of marine mammals in the area increased by 1,800 each year during the study.

Explanation: Choice B is correct. The function P gives the estimated number of marine mammals in a certain area, where t is the number of years since a study began. Since the value of P(0) is the value of P (t) when t=0, it follows that P(0) = 1,800 means that the value of P (t ) is 1,800 when t=0. Since t is the number of years since the study began, it follows that t=0 is 0 years since the study began, or when the study began. Therefore, the best interpretation of P(0) = 1,800 in this context is the estimated number of marine mammals in the area was 1,800 when the study began.

56. A manager is responsible for ordering supplies for a shaved ice shop. The shop's inventory starts with 4,500 paper cups, and the manager estimates that 70 of these paper cups are used each day. Based on this estimate, in how many days will the supply of paper cups reach 1,700?

• A. 20
• B. 40
• C. 60
• D. 80

Explanation: Choice B is correct. It's given that the shop's inventory starts with 4,500 paper cups and that the manager estimates that 70 of these paper cups are used each day. Let x represent the number of days in which the estimated supply of paper cups will reach 1,700. The equation 4,500 - 70x = 1,700 represents this situation. Subtracting 4,500 from both sides of this equation yields -70x = -2,8 00. Dividing both sides of this equation by -70 yields x = 40. Therefore, based on this estimate, the supply of paper cups will reach 1,700 in 40 days.

57. In 2008, Zinah earned 14% more than in 2007, and in 2009 Zinah earned 4% more than in 2008. If Zinah earned y times as much in 2009 as in 2007, what is the value of y?

• A. 0.5600
• B. 1.0056
• C. 1.1800
• D. 1.1856

Explanation: Choice D is correct. It's given that in 2008 Zinah earned 14% more than in 2007. Let h represent the amount Zinah earned in 2007 and let j represent the amount that Zinah earned in 2008. This situation can be represented by the equation j = (1 + 14/100)h, or j =1.14 h. It's also given that in 2009 Zinah earned 4% more than in 2008. Let k represent the amount Zinah earned in 2009. This situation can be represented by the equation k = (1 + 4/100)j, or k = 1.04j. Substituting 1.14h for j in the equation k =1.04 j yields k = (1.04)(1.14h), or k =1.1856 h. If Zinah earned y times as much in 2009 as in 2007, then the value of y is 1.1856.

58. On a street with 7 houses, 2 houses are blue. If a house from this street is selected at random, what is the probability of selecting a house that is blue?

• A. 1/7
• B. 2/7
• C. 5/7
• D. 7/7

Explanation: Choice B is correct. If a house from the street is selected at random, the probability of selecting a house that is blue is equal to the number of houses on the street that are blue divided by the total number of houses on the street. Since there are 2 blue houses on a street with 7 total houses, the probability of selecting a house that is blue from this street is 2/7.

59. The amount of Hanna's bill for a food order was $50. Hanna gave a tip of 20% of the amount of the bill. What is the amount, in dollars, of the tip Hanna gave?

• A. 10
• B. 12
• C. 15
• D. 20

Explanation: The correct answer is 10. It's given that the amount of Hanna's food order was $50 and that Hanna gave a tip of 20% of the amount of the bill. 20% of 50 can be calculated as (20/100)(50), which yields 1000 / 100, or 10. Therefore, the amount, in dollars, of the tip Hanna gave is 10.

60. Brian saves 2/5 of the $215 he earns each week from his job. If Brian continues to save at this rate, how much money, in dollars, will Brian save in 9 weeks?

• A. 760
• B. 774
• C. 770
• D. 780

Explanation: The correct answer is 774. It's given that Brian saves 2/5 of the $215 he earns each week from his job. Therefore, Brian saves (2/5)($215) or $86, per week. If Brian continues to save at this rate of $86 per week for 9 weeks, then he will save a total of (9)(86), or 774, dollars.