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Word Problems
505-555 (Easy)
A grocer purchased a quantity of bananas at 3 pounds for 0.50andsoldtheentirequantityat4poundsfor1.00. How many pounds did the grocer purchase if the profit from selling the bananas was $10.00?
505-555 (Easy)
If taxi fares were 1.00forthefirst1/5mileand0.20 for each 1/5 mile there after, then the taxi fare for a 3-mile ride was?
555-605 (Medium)
A student responded to all of the 22 questions on a test and received a score of 63.5. If the scores were derived by adding 3.5 points for each correct answer and deducting 1 point for each incorrect answer, how many questions did the student answer incorrectly?
505-555 (Easy)
At a certain bowling alley, it costs 0.50torentbowlingshoesforthedayand1.25 to bowl 1 game. If a person has $12.80 and must rent shoes, what is the greatest number of complete games that person can bowl in one day?
605-655 (Medium)
The table above shows the number of tickets sold during each of the first 4 weeks after a movie was released. The producer of the movie received 10 percent of the revenue from every ticket sold with a guaranteed minimum of 200,000eachweekforthefirst4weeks.Ifticketssoldfor4 each, how much did the producer receive for the first 4 weeks?
555-605 (Medium)
The table above shows present rates and proposed rates for electricity for residential customers. For which of the monthly kilowatt-hours shown would the proposed rate be the greatest percent increase over the present rate?
605-655 (Medium)
Each step of a staircase is 0.25 meter wide and 0.20 meter high, as shown in the figure above. All angles shown in the figure are right angles. If the height of the staircase is 3.6 meters and the landing at the top of the staircase is 1 meter wide, how long, in meters, is AB?
Sub 505 (Easy)
A digital wristwatch was set accurately at 8.30 am and then lost 2 seconds every 5 minutes. What time was indicated on the watch at 6.30 pm of the same day, if the watch operated continuously until that time?
505-555 (Easy)
At a special sale, 5 tickets can be purchased for the price of 3 tickets. If 5 tickets are purchased at this sale, the amount saved will be what percent of the original price of the 5 tickets?
Sub 505 (Easy)
In traveling from a dormitory to a certain city, a student went 1/5 of the way by foot, 2/3 of the way by bus, and the remaining 8 kilometers by car. What is the distance, in kilometers, from the dormitory to the city?
Sub 505 (Easy)
Audrey went shopping with D dollars. She spent 20% of her money on a blouse and 25% of what was left on a pair of shoes. What per cent of the original D dollars did she spend?
Sub 505 (Easy)
A warehouse had a square floor with area 10,000 square meters. A rectangular addition was built along one entire side of the warehouse that increased the floor by one-half as much as the original floor. How many meters did the addition extend beyond the original building?
505-555 (Easy)
Mohit went cycling on 10 consecutive days. Every day he started from Point X, cycled a certain distance in an easterly direction, and then returned to Point X. What is the total distance he covered in those 10 days?
(1) From the second day onward, Mohit covered twice the distance he covered the previous day. On the fifth day, he covered 3.2 km from Point X east, and then back to Point X.
(2) On the first day, Mohit cycled less than 0.3 km.
N/A
Last year, a certain company began manufacturing product X and sold every unit of product X that it produced. Last year the company's total expenses for manufacturing product X were equal to $100,000 plus 5 percent of the company's total revenue from all units of product X sold. If the company made a profit on product X last year, did the company sell more than 21,000 units of product X last year?
(1) The company's total revenue from the sale of product X last year was greater than $110,000.
(2) For each unit of product X sold last year, the company's revenue was $5.
Sub 505 (Easy)
Was the amount of John's heating bill for February greater than it was for January?
(1) The ratio of the amount of John's heating bill for February to that for January was 26/25.
(2) The sum of the amounts of John's heating bills for January and February was $183.60.
555-605 (Medium)
What is the total number of coins that Bert and Claire have?
(1) Bert has 50 percent more coins than Claire.
(2) The total number of coins that Bert and Claire have is between 21 and 28.
Sub 505 (Easy)
Is the total price of the items in Andrea's shopping cart less than $25.00?
(1) There are 5 items in Andrea's shopping cart.
(2) The price of the most expensive item in Andrea's shopping cart is $4.99
555-605 (Medium)
In a certain business, production index p is directly proportional to efficiency index e, which is in turn directly proportional to investment i. What is p if i = 70?
(1) e = 0.5 whenever i = 60
(2) p = 2.0 whenever i = 50
N/A
A school administrator will assign each student in a group of N students to one of M classrooms. If 3<M<13<N, is it possible to assign each of the N students to one of the M classrooms so that each classroom has the same number of students assigned to it?
(1) It is possible to assign each of 3N students to one of M classrooms so that each classroom has the same number of students assigned to it.
(2) It is possible to assign each of 13N students to one of M classrooms so that each classroom has the same number of students assigned to it.
655-705 (Hard)
Three dice, each of which has its 6 sides numbered 1 through 6, are tossed. The sum of the 3 numbers that are facing up is 12. Is at least 1 of these numbers 5?
(1) None of the 3 numbers that are facing up is divisible by 3
(2) Of the numbers that are facing up, 2, but not all 3, are equal