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What is the sum of the digits of the number 72?
- A. 6
- B. 5
- C. 9
- D. 7
Correct Answer: C
Rationale: To find the sum of the digits of the number 72, you simply add the individual digits together: 7 + 2 = 9. Therefore, the sum of the digits is 9. Choice A (6), Choice B (5), and Choice D (7) are incorrect as they do not correctly sum up the individual digits of the number 72.
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Out of a total of 50 homes, she sold 11. What percentage of the homes did she sell?
- A. 16%
- B. 18%
- C. 22%
- D. 24%
Correct Answer: C
Rationale: To find the percentage of homes she sold, divide the number of homes she sold (11) by the total number of homes (50), then multiply by 100. (11 / 50) * 100 = 22%. Therefore, she sold 22% of the homes. Choice A (16%) is incorrect because it is less than the correct percentage. Choice B (18%) is also less than the correct percentage. Choice D (24%) is greater than the correct percentage of homes she sold.
Express 2/5 as a decimal.
- A. 0.2
- B. 0.25
- C. 0.4
- D. 2.5
Correct Answer: C
Rationale: To express 2/5 as a decimal, you divide the numerator (2) by the denominator (5). 2 · 5 = 0.4. Choice A (0.2) is the decimal equivalent of 1/5, not 2/5. Choice B (0.25) is the decimal equivalent of 1/4, not 2/5. Choice D (2.5) is not the correct decimal equivalent of 2/5 as it is greater than 1.
Multiply and express as a decimal: 6 55 =
- A. 0.0033
- B. 0.033
- C. 0.33
- D. 3.3
Correct Answer: D
Rationale: To find the result of multiplying 6 by 55, you perform the operation 6 55, which equals 330. To express this product in decimal form, you place the decimal point one place from the right, resulting in 3.3. Therefore, the correct answer is D (3.3). Choices A, B, and C are incorrect as they do not represent the correct decimal equivalent of the multiplication of 6 and 55.
Which of the following numbers is NOT divisible by 3?
- A. 105
- B. 141
- C. 273
- D. 810
Correct Answer: D
Rationale: To determine if a number is divisible by 3, we can check if the sum of its digits is divisible by 3. If the sum of the digits is divisible by 3, then the original number is also divisible by 3.
A) 105: 1 + 0 + 5 = 6, which is divisible by 3. Therefore, 105 is divisible by 3.
B) 141: 1 + 4 + 1 = 6, which is divisible by 3. Therefore, 141 is divisible by 3.
C) 273: 2 + 7 + 3 = 12, which is divisible by 3. Therefore, 273 is divisible by 3.
D) 810: 8 + 1 + 0 = 9, which is not divisible by 3. Therefore, 810 is NOT divisible by 3.
Therefore, the correct answer is D (810). Choices A, B, and C are all divisible by 3 as the sum of their digits is divisible by 3.
How many centimeters are there in 1 foot?
- A. 4.72 centimeters
- B. 10 centimeters
- C. 25.4 centimeters
- D. 30.48 centimeters
Correct Answer: D
Rationale: To convert feet to centimeters, you need to consider that there are 2.54 centimeters in an inch. Since a foot is equal to 12 inches, you multiply 12 inches by 2.54 to get 30.48 centimeters. Therefore, there are 30.48 centimeters in 1 foot. Choice A (4.72 centimeters) is incorrect as it does not use the correct conversion factor. Choice B (10 centimeters) is incorrect as it is not the accurate conversion for 1 foot. Choice C (25.4 centimeters) is incorrect as it corresponds to 10 inches, not 1 foot.