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Calculate the product: (99)(0.56) =
- A. 99.3
- B. 99.56
- C. 55.44
- D. 199.54
Correct Answer: C
Rationale: To multiply decimals, multiply the numbers as if they were whole numbers and then place the decimal point in the product. In this case, (99)(0.56) = 55.44. To find the product, multiply 99 by 0.56, which equals 55.44. Therefore, the correct answer is 55.44, as shown in choice C. Hence, choice C, 55.44, is the correct answer.
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Subtract 2 5/8 - 7/8 and reduce
- A. 1 & 5/8
- B. 1 & 1/4
- C. 1 & 6/8
- D. 1 & 3/4
Correct Answer: D
Rationale: To subtract fractions, ensure the denominators are the same, then subtract the numerators. In this case, 2 5/8 - 7/8 = (2 - 1) 5/8 = 1 5/8. Since 5/8 cannot be further simplified, the answer is 1 & 5/8 in mixed number form. However, for the final answer in reduced form, 5/8 can be simplified to 4/8, which is equivalent to 1/2. Therefore, the correct reduced answer is 1 & 3/4, making choice D the correct answer.
Multiply: 3 2/11 x 2 1/5, reduced to lowest terms =
- A. 5 3/16
- B. 6 2/55
- C. 385/55
- D. 7
Correct Answer: D
Rationale: To multiply mixed numbers, convert them to improper fractions. 3 2/11 = 35/11, 2 1/5 = 11/5. Multiply: (35/11) x (11/5) = 385/55. Simplify to lowest terms = 7, hence the correct answer is D. Choices A, B, and C are incorrect as they do not properly convert and multiply the mixed numbers.
Convert the military time 0056 to 12-hour time.
- A. 12:56 P.M.
- B. 12:56 A.M.
- C. 1:56 A.M.
- D. 1:56 P.M.
Correct Answer: B
Rationale: Military time 0056 represents 12:56 A.M. in the 12-hour clock format. When converting from military time to the 12-hour clock, you keep the hour as is if it's 1 to 12. In this case, 0056 corresponds to just after midnight, so it's 12:56 A.M. The 'A.M.' indicator signifies the time is in the morning.
Add 7/8 + 9/10 + 6/5 as mixed numbers.
- A. 3 & 39/40
- B. 22/23
- C. 2 & 39/40
- D. 3 & 22/23
Correct Answer: C
Rationale: To add fractions, it is essential to have a common denominator. The least common multiple of 8, 10, and 5 is 40. Converting each fraction to have a denominator of 40, we get 7/8 as 35/40, 9/10 as 36/40, and 6/5 as 48/40. Adding the numerators gives 35 + 36 + 48 = 119. This is equivalent to 2 wholes (40/40) and a remainder of 39/40. Therefore, the sum is 2 & 39/40.
In Mr. Garcia's class, two-thirds of the students are boys. If there are 27 students in the class, how many of them are girls?
- A. 1
- B. 9
- C. 12
- D. 20
Correct Answer: B
Rationale: If two-thirds of the students are boys, then one-third must be girls. To find the number of girls, we calculate one-third of the total number of students. Since the total number of students is 27, one-third of 27 is 9. Therefore, there are 9 girls in Mr. Garcia's class.