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Multiply: 2/3 x 3/5 =
- A. 3/4
- B. 1/3
- C. 2/5
- D. 11/9
Correct Answer: C
Rationale: To multiply fractions, multiply the numerators and the denominators: (2 x 3) / (3 x 5) = 6/15. Simplifying gives 2/5. Thus, the correct answer is C) 2/5.
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A salesman needs to sell 63 items to make his monthly goal. There are eighteen selling days left in the month. What is the average number of items he needs to sell daily to reach his goal?
- A. 4
- B. 3.5
- C. 7
- D. 8.5
Correct Answer: B
Rationale: Correct Answer: B (3.5)
Rationale:
1. 63 items to be sold in 18 days.
2. Calculate average items per day: 63 items ÷ 18 days = 3.5 items/day.
3. Hence, the salesman needs to sell 3.5 items daily to reach his goal.
Summary:
- Choice A (4): Incorrect, as the actual average is 3.5 items/day.
- Choice C (7): Incorrect, as it is double the correct average.
- Choice D (8.5): Incorrect, as it is more than double the correct average.
A mother is planning a birthday party. She will give each child 15 balloons. There are 50 balloons per packet. How many packets does the mother need if there will be 16 children?
- A. 5
- B. 6
- C. 17
- D. 50
Correct Answer: A
Rationale: To determine the number of packets the mother needs, you must calculate the total number of balloons required for all children. With 16 children receiving 15 balloons each, the total number of balloons needed is 15 x 16 = 240. As each packet contains 50 balloons, divide the total balloons needed by the number of balloons per packet: 240 · 50 = 4.8. Since packets cannot be in fractions, round up to the nearest whole number, which means the mother needs 5 packets to provide balloons for all 16 children.
Seven girls each have seven cats. How many legs are there in the group?
- A. 210
- B. 63
- C. 186
- D. 49
Correct Answer: A
Rationale: To find the total number of legs, we multiply the number of girls by the number of legs each girl and cat has. 7 girls x (2 legs per girl + 4 legs per cat) x 7 cats = 7 x (2+4) x 7 = 7 x 6 x 7 = 210 legs.
Choice A is correct because it correctly calculates the total number of legs.
Choice B is incorrect as it only considers the girls' legs.
Choice C is incorrect as it does not account for the cats' legs.
Choice D is incorrect as it only considers the number of cats.
A library contains 67,982 books. The children's section represents 1/3 of the total books. Of the remaining books, 75% are fiction. How many books are in the non-fiction section?
- A. 11,331
- B. 33,990
- C. 50,986
- D. 45,321
Correct Answer: A
Rationale: To find the number of books in the non-fiction section, start by calculating the number of books in the children's section: 67,982 * 1/3 = 22,661 books. Subtract the children's books from the total to determine the remaining books: 67,982 - 22,661 = 45,321 books. As 75% of the remaining books are fiction, calculate 75% of 45,321 = 33,990 (fiction books). To find the number of non-fiction books, subtract the fiction books from the remaining books: 45,321 - 33,990 = 11,331. Therefore, there are 11,331 non-fiction books in the library.
How many ounces are in 3 5/8 quarts?
- A. 32
- B. 116
- C. 96
- D. 928/8
Correct Answer: B
Rationale: To convert quarts to ounces, we use the conversion factor that 1 quart is equal to 32 ounces. To find how many ounces are in 3 5/8 quarts, first, we calculate the ounces in 3 quarts by multiplying 3 quarts by 32 ounces/quart, which equals 96 ounces. Then, we find the equivalent of 5/8 quart, which is 5/8 * 32 = 20 ounces. Adding the ounces from 3 quarts and 5/8 quart together, we get a total of 116 ounces. Therefore, the correct answer is 116 ounces.