TEAS Practice Test Math

Correct Answer: D

Rationale: To determine the correct order of the groups, we need to compare the fractions given for each group. Group X has 1/4 of the doctors, Group Y has 1/3, and Group Z has 1/6. Comparing the fractions, we see that 1/3 is larger than 1/4 but smaller than 1/6. Therefore, Group Y has the most doctors, followed by Group X, and then Group Z. Hence, the correct order is D: Group Y, Group X, Group Z. This is because Group Y has the largest fraction of doctors, followed by Group X, and then Group Z. Choices A, B, and C can be eliminated because they do not follow the correct order based on the fractions provided.

Correct Answer: A

Rationale: The correct answer is A because to convert pounds to kg, you need to multiply by the conversion factor of 2.2, and to convert kg to pounds, you need to divide by 2.2. This is because 1 pound is equal to 0.453592 kg, which is approximately 2.2 pounds per kg. Therefore, multiplying by 2.2 for pounds and dividing by 2.2 for kg ensures the correct conversion between the two units. Choices B, C, and D are incorrect because they do not correspond to the correct conversion factor between pounds and kg.

Correct Answer: B

Rationale: To find the average time per mile, we calculate the total time taken for both segments (25 minutes for 5 miles + 15 minutes for 3 miles = 40 minutes for 8 miles). Then, we divide the total time by the total distance (40 minutes ÷ 8 miles = 5 minutes per mile). Therefore, the correct answer is B. Choice A (7 minutes) is incorrect because it does not align with the calculated average time per mile of 5 minutes. Choice C (6.5 minutes) is incorrect as it is not the accurate average based on the given data. Choice D (8.5 minutes) is incorrect as it also does not match the calculated average time per mile of 5 minutes.

Correct Answer: C

Rationale: To calculate the 16% gratuity on a $58.60 bill, you multiply the bill amount by 0.16 (16%). $58.60 x 0.16 = $9.38. Therefore, the estimated gratuity is $9.38 (Choice C). Incorrect Answers: A: $8.48 - Incorrect, this is not the correct calculation for a 16% gratuity on $58.60. B: $6.40 - Incorrect, this is the calculation for a 11% gratuity on $58.60. D: $7.00 - Incorrect, this is the calculation for a 12% gratuity on $58.60.

Correct Answer: A

Rationale: The correct answer is A because the greatest common factor is the largest factor that divides all the given numbers without a remainder. This factor is common to all numbers and is the greatest among all the common factors. Choice B is incorrect because the smallest factor does not account for all numbers. Choice C is incorrect as the greatest common factor is not a multiple, but a factor. Choice D is incorrect since the smallest multiple does not necessarily divide all the numbers without a remainder.