Free Quantitative Reasoning MCQs with Answers

421. Apex Car Rental company charges a flat fee of $40.00 per day plus $0.75 per mile to rent a car. Jason Car Rental company charges a flat fee of $64.00 per day plus $0.60 per mile to rent a car. If a car is rented for three days, at how many miles would the rental charges of the two companies be the same?

• A. 480
• B. 450
• C. 420
• D. 380

Explanation: Let's denote the number of miles driven as x. The rental charges for Apex Car Rental would be: Flat fee: $40 x 3 = $120 Mileage charge: $0.75x Total rental cost for Apex Car Rental: $120 + $0.75x The rental charges for Jason Car Rental would be: Flat fee: $64 x 3 = $192 Mileage charge: $0.60x Total rental cost for Jason Car Rental: $192 + $0.60x Now, we want to find the number of miles where the rental charges for both companies are the same. $120 + $0.75x = $192 + $0.60x Simplifying this equation, we get: $0.15x = $72 x = 480 Therefore, the answer is A) 480. At 480 miles driven, the rental charges for both companies would be the same.

422. To join Ace Gym, one must pay a $180 membership fee plus dues of $35 per month. To join Best Gym, one must pay a $300 membership fee plus dues of $23 per month. At how many months would the total cost of either gym be the same?

• A. 7
• B. 8
• C. 9
• D. 10

Explanation: 180 + 35x = 300 + 23x where x = number of months. Simplifying the equation, we get: 12x = 120 x = 10 Therefore, the total cost of either gym would be the same after 10 months. Answer: D) 10.

423. At a county fair the admission is $8.00 and each ride costs $1.25. If you go to the fair with $20.00, what is the maximum number of rides you can go on?

• A. 8
• B. 9
• C. 10
• D. 11

Explanation: Money available for rides after paying admission fee=$20.00 - $8.00 = $12.00 Divide the money available for rides by the cost of each ride to find the maximum number of rides: $12.00 ÷ $1.25 per ride = 9.6 rides Since we cannot ride a fraction of a ride, we need to round down to the nearest whole number. Therefore, the maximum number of rides we can go on is 9. Answer: B) 9

424. A car averages 18 miles per gallon of gas for city driving and 27 miles per gallon of gas for highway driving. What is the total number of gallons of gas needed to drive 6x miles in the city and 18x miles on the highway?

• A. x
• B. 2x
• C. 3.5x
• D. 4.5x

Explanation: For city driving, the car covers 6x miles with an average of 18 miles per gallon of gas. Therefore, the number of gallons of gas used for city driving is: Gallons for city driving = (6x miles) / (18 miles/gallon) = (1/3) x gallons For highway driving, the car covers 18x miles with an average of 27 miles per gallon of gas. Therefore, the number of gallons of gas used for highway driving is: Gallons for highway driving = (18x miles) / (27 miles/gallon) = (2/3) x gallons Therefore, the total number of gallons of gas needed is: Total gallons = gallons for city driving + gallons for highway driving Total gallons = (1/3) x gallons + (2/3) x gallons Total gallons = (1+2)/3 x gallons Total gallons = 1 x gallons = x So the answer is (A) x.

425. The smallest integer that, when squared, is less than 5 is

• A. 0
• B. 1
• C. 2
• D. None of these

Explanation: The smallest integer that, when squared, is less than 5 is '-2'; it can be written as (−2) 2 =4, which is less than 5.

426. In which of triples the central number is strictly in the middle between two others.

• A. ½, ⅓, ¼
• B. 12, 21, 32
• C. 3, 7, 13
• D. ⅓, ½, ⅔

Explanation: To determine which triple has the central number strictly in the middle between the other two, we can calculate the differences between each pair of adjacent numbers in the triples. Let's examine each option: ½ , ⅓ , ¼ Differences: ½ - ⅓ = ⅙ , ⅓ - ¼ = 1/12 The central number is not strictly in the middle. 12, 21, 32 Differences: 21-12=9 , 32 - 21=11 The central number (21) is not strictly in the middle. 3, 7, 13 Differences: 7−3=4, 13−7=6 The central number (7) is not strictly in the middle. ⅓, ½ , ⅔ Differences: ½ - ⅓ = ⅙ , ⅔ - ½ =⅙ The central number is strictly in the middle

427. Which of the following shows correct value of x, such that the two expressions given below are equal. I) a+b - c/x + 4c - 3a + 2b/b II) a+b + 4c + 2b/b - c/a - 3a

• A. b
• B. c
• C. a
• D. 2

Explanation: Equate both the expressions a+b - c/x + 4c - 3a + 2b/b = a+b + 4c + 2b/b - c/a - 3a Solve for the value of x. Combine like terms: a - 3a + b + 4c -c/x + 2b/b = a - 3a + b + 4c +2b/b - c/a Simplify further: -2a + b + 4c - c/x + 2 = -2a + b + 4c + 2 - c/a Now, subtract −2a+b+4c+2 from both sides to isolate the c/x term: c/x = -c/a Finally, divide both sides by −c to solve for x: x=a

428. 100 oranges are bought at the rate of Rs. 350 and sold at the rate of Rs. 48 per dozen. The percentage of profit or loss is:

• A. 14 2/7 % gain
• B. 15 % gain
• C. 14 2/7 % loss
• D. 15 % loss

Explanation: Cost price of 1 orange = Rs (350/100)=3.50 Selling price of 1 orange= (48/12)=4 Gain % = (0.5/3.5 x 100) % = 100/7 % = 14 2/7% Option A: Cost price of 1 orange = Rs (350/100)=3.50 Selling price of 1 orange= (48/12)=4 Gain % = (0.5/3.5 x 100) % = 100/7 % = 14 2/7%

429. A container that can hold 12 litres is 3/4 full. How much will it contain after 4 litres has been poured out of it?

• A. 5
• B. 6
• C. 8
• D. 12

Explanation: According to the question, a full container has 12 litres so 4/4 is 12, then ¼ is 3, so ¾ is 9, the container then contains 9 litres of substance, subtracting 4 from this 5 litres will be left. behind.

430. The daily totals of enrollments at Sunnyside Summer Camp last Monday through Saturday were 17, 19, 23, 14, 25, and 28. What was the average number of enrollements per day?

• A. 126
• B. 28
• C. 21
• D. 18

Explanation: The average of the enrollments is: (17+19+23+14+25+28)/6 126/6 =21