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What is the result of dividing 152 by 2?
- A. 0.0116
- B. 0.116
- C. 76
- D. 11.6
Correct Answer: C
Rationale: To divide 152 by 2, you perform the division operation, which is 152 · 2 = 76. The correct answer is 76. Choices A, B, and D are incorrect. Choice A, 0.0116, is the result of dividing 1 by 152 instead of 152 by 2. Choice B, 0.116, is the result of dividing 1.52 by 2. Choice D, 11.6, is the result of multiplying 152 by 2.
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How many kilograms are there in 11 pounds?
- A. 5 kilograms
- B. 5.5 kilograms
- C. 22.2 kilograms
- D. 24.2 kilograms
Correct Answer: B
Rationale: To convert pounds to kilograms, you can use the conversion factor: 1 pound is approximately equal to 0.453592 kilograms. Therefore, 11 pounds is equal to 11 * 0.453592 = 4.989512, which is approximately 5.5 kilograms. The correct answer is 5.5 kilograms. Choice A is incorrect as it rounds down and doesn't account for the decimals in the conversion. Choices C and D are significantly higher than the correct answer and are clearly incorrect conversions.
Olivia's Bakery gives out one extra cupcake for each dozen sold, to make a "baker's dozen" of 13 in all. How many extra cupcakes does the bakery add to a special order of 180 cupcakes?
- A. 12
- B. 13
- C. 14
- D. 15
Correct Answer: B
Rationale: Olivia's Bakery gives out one extra cupcake for each dozen sold. For a special order of 180 cupcakes, there would be 180 cupcakes · 12 cupcakes per dozen = 15 dozens. Therefore, the bakery adds 15 extra cupcakes to make a 'baker's dozen' of 13 in all for each dozen, resulting in a total of 15 extra cupcakes added to the special order. The correct answer is 13 (choice B) because the bakery adds one extra cupcake to each dozen, making a 'baker's dozen' of 13.
Multiply: 22 75 = and express the answer in decimal form.
- A. 0.00165
- B. 0.0165
- C. 0.165
- D. 16.5
Correct Answer: D
Rationale: The correct answer is D: 16.5. To find the product of 22 and 75, you multiply the two numbers together. Therefore, 22 75 = 1650, which is correctly represented as 16.5 in decimal form. Choices A, B, and C are incorrect as they do not reflect the correct decimal form of the product of 22 and 75. Choice A, 0.00165, is incorrect as it is a very small value that does not match the result of multiplying 22 and 75. Choice B, 0.0165, is also incorrect as it is one tenth of the correct answer. Choice C, 0.165, is incorrect as it is one hundredth of the correct answer. Therefore, the only correct representation in decimal form for the product of 22 and 75 is 16.5.
Subtract and simplify: -5 - (-6) =
- A. ½
- B. 1⅜
- C. 1
- D. 1â…”
Correct Answer: C
Rationale: To simplify the expression -5 - (-6), we can rewrite it as -5 + 6 (since subtracting a negative number is equivalent to adding its positive counterpart). This gives us -5 + 6 = 1. Therefore, the correct answer is 1. Choice A, ½, is incorrect because the subtraction of a negative number results in a positive number. Choices B and D are also incorrect as they do not match the simplified result of -5 - (-6), which is 1.
Multiply: 25 4 = and express the result in decimal form.
- A. 0.01
- B. 0.1
- C. 1
- D. 10
Correct Answer: C
Rationale: To multiply 25 by 4, you get 100. To express the result in decimal form, you divide by 100. Therefore, the result is 1. Choice A (0.01) is incorrect as it represents 1/100, not the result of 25 4. Choice B (0.1) is incorrect as it represents 1/10. Choice D (10) is incorrect as it is the result before converting it to decimal form.