TEAS Math Questions

Correct Answer: C

Rationale: To calculate the correct dosage for the child, we divide the required dosage (240 mg) by the concentration of acetaminophen in the drops (20 mg/mL). This gives us 12 mL as the correct amount. Therefore, the child should receive 2.4 mL (12 mL divided by 5) of concentrated infant drops. Option C is correct because it accurately represents the calculated dosage. Options A, B, and D are incorrect as they do not reflect the correct calculation based on the concentration and required dosage.

Correct Answer: C

Rationale: To find the number of students who will complete the program: 1. 3/4 of students major in nursing, so 3/4 * 100 = 75 students major in nursing. 2. 1/3 of nursing students complete the program, so 1/3 * 75 = 25 students will complete the program. Therefore, if 100 students are in the incoming class, 25 students will complete the program. Choice C (15) is incorrect because it does not align with the calculations. Choices A (75), B (20), and D (5) are also incorrect as they do not accurately reflect the number of students who will complete the program based on the given information.

Correct Answer: C

Rationale: The correct order is C: Group Gamma, Group Alpha, Group Beta. Step-by-step rationale: First, calculate the fraction of patients in each group: 1/2 for Alpha, 1/3 for Beta, and 1/6 for Gamma. Next, convert the fractions to a common denominator: 6. This gives 3 patients in Alpha, 2 in Beta, and 1 in Gamma. Therefore, the correct order is Group Gamma (1 patient) < Group Alpha (3 patients) < Group Beta (2 patients). Other choices are incorrect because they do not follow the correct order based on the fraction of patients assigned to each group.

Correct Answer: C

Rationale: The correct order is Gamma, Alpha, Beta. Step 1: Find the least common multiple (LCM) of the fractions: LCM of 2, 3, and 6 is 6. Step 2: Calculate the number of patients in each group for a total of 6 patients. Group Alpha: 6 * (1/2) = 3 patients. Group Beta: 6 * (1/3) = 2 patients. Group Gamma: 6 * (1/6) = 1 patient. Therefore, the correct order is Gamma (1 patient), Alpha (3 patients), Beta (2 patients). Choice C is correct as it reflects this order. Choices A, B, and D are incorrect as they do not follow the correct distribution of patients based on the fractions given.

Correct Answer: C

Rationale: To calculate the total time, first find the time for the first segment: 305 miles / 65 mph = 4.69 hours. Then, add the 15-minute stop: 15 minutes / 60 = 0.25 hours. Next, find the time for the second segment: 162 miles / 80 mph = 2.025 hours. Add up all the times: 4.69 + 0.25 + 2.025 = 6.965 hours. Since this is closest to 6.69 hours (choice C), that is the correct answer. Choices A, B, and D are incorrect because they do not accurately represent the total time elapsed since the trip began.