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Arithmetic Reasoning Word Problems Flashcards

6 cards from real BSEP practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 6 Arithmetic Reasoning Word Problems flashcards as text

  1. A supply clerk issues 3/5 of his stock of 2,500 pencils. The following day, he issues 1/4 of the remaining pencils. How many pencils are left in stock?

    Answer: 750

    First, calculate the number of pencils issued on the first day: (3/5) * 2500 = 1500 pencils. Then, find the remaining stock: 2500 - 1500 = 1000 pencils. On the second day, he issues 1/4 of the remaining pencils: (1/4) * 1000 = 250 pencils. Finally, subtract the second day's issue from the remaining stock to find the final amount: 1000 - 250 = 750 pencils.

  2. A vehicle travels at a rate of 60 miles per hour. If a trip takes 4 hours and 30 minutes, what is the total distance traveled in miles?

    Answer: 270 miles

    To solve this, use the formula Distance = Rate × Time. First, convert the time to hours. 30 minutes is 0.5 hours, so the total time is 4.5 hours. Then, multiply the rate by the time: 60 mph * 4.5 hours = 270 miles.

  3. A rectangular storage room is 15 feet long and 8 feet wide. If boxes that are each 2 feet by 2 feet need to be stored flat on the floor, what is the maximum number of boxes that can fit?

    Answer: 30

    First, find the area of the storage room: Area = Length × Width = 15 ft × 8 ft = 120 square feet. Next, find the area of one box: 2 ft × 2 ft = 4 square feet. To find how many boxes can fit, divide the total area of the room by the area of one box: 120 sq ft / 4 sq ft = 30 boxes.

  4. If a soldier can complete a training course in 8 hours, what fraction of the course can they complete in 6 hours?

    Answer: 3/4

    The problem can be set up as a ratio of the time spent to the total time required. The fraction is 6 hours / 8 hours. This fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2. So, 6 ÷ 2 / 8 ÷ 2 = 3/4.

  5. A team of 5 people can process 150 applications in a day. If 2 more people join the team, and everyone works at the same rate, how many applications can the team process in one day?

    Answer: 210

    First, determine the rate of work for one person. If 5 people process 150 applications, then one person processes 150 / 5 = 30 applications per day. With 2 more people, the team has 5 + 2 = 7 people. Now, multiply the number of people by the individual rate: 7 people * 30 applications/person = 210 applications.

  6. A purchase of $80 is discounted by 20%. An 8% sales tax is then calculated on the discounted price. What is the final cost?

    Answer: $69.12

    First, calculate the discount amount: $80 * 0.20 = $16. Subtract the discount from the original price to get the discounted price: $80 - $16 = $64. Next, calculate the sales tax on the discounted price: $64 * 0.08 = $5.12. Finally, add the sales tax to the discounted price to get the final cost: $64 + $5.12 = $69.12.