TEAS Math Questions

Correct Answer: C

Rationale: To find the number of students who will complete the nursing program: 1. Out of 100 students, 3/4 major in nursing = 75 students. 2. Only 1/3 of those who major in nursing complete the program: (1/3) * 75 = 25 students. Therefore, the correct answer is C (25 students) because only a third of the 75 nursing majors, which is 25 students, will complete the nursing program. Choice A (75) is incorrect because it represents the total number of students majoring in nursing, not completing the program. Choice B (20) and Choice D (5) are incorrect as they do not consider the proportions given in the question and do not calculate the number of students completing the program accurately.

Correct Answer: C

Rationale: To determine which group is the smallest, we need to compare the fractions representing the proportion of patients in each group. Group Alpha has 1/2, Group Beta has 1/3, and Group Gamma has 1/6 of the total patients. To find the smallest group, we look for the smallest fraction. Among the choices, 1/6 in Group Gamma is the smallest fraction, hence Group Gamma is the smallest group. Incorrect choices: A: Group Alpha - 1/2 is larger than 1/3 and 1/6, making it larger than Group Beta and Group Gamma. B: Group Beta - 1/3 is larger than 1/6 but smaller than 1/2, making it larger than Group Gamma. D: Group Delta - This is not a valid choice in the question, so it is incorrect.

Correct Answer: A

Rationale: To find the number of hours spent sleeping, we need to calculate 1/4 of a day. Since a day has 24 hours, 1/4 of 24 is 24/4 = 6 hours. Therefore, the correct answer is A: 6 hours. Choice B (8 hours) is incorrect as it is not 1/4 of a day. Choices C (4 hours) and D (5 hours) are also incorrect as they do not represent 1/4 of a day.

Correct Answer: A

Rationale: To calculate how many liters are left after using 25%, we first find 25% of 10 liters: 10 * 0.25 = 2.5 liters used. Subtracting this from the initial amount gives us the remaining water: 10 - 2.5 = 7.5 liters left. Therefore, choice A (7.5 liters) is correct. Choice B (8 liters) is incorrect because it doesn't account for the water that was used. Choice C (6.5 liters) and choice D (8.5 liters) are also incorrect as they do not reflect the correct calculation based on the given information.

Correct Answer: B

Rationale: To solve the equation x + x * x - x / x, we follow the order of operations (PEMDAS/BODMAS). First, we calculate x * x = x^2, then x / x = 1. So the equation becomes x + x^2 - 1. Simplifying further, we get x^2 + x - 1. This is a quadratic equation. To find the value of x that satisfies this equation, we can factor it or use the quadratic formula. The correct answer is B: 3, as x = 3 satisfies the equation x^2 + x - 1 = 3^2 + 3 - 1 = 9 + 3 - 1 = 11, which matches the left side of the equation. Summary: A: 5 - Incorrect. The value of x that satisfies the equation is not 5. C: 2 - Incorrect. The value of x that satisfies the equation is