which of the following is 31 of 426
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ATI TEAS 7

Practice Math TEAS TEST

1. What is 31% of 426?

Correct answer: B

Rationale: To find 31% of 426, multiply 0.31 by 426. This gives 0.31 × 426 = 132.06. Therefore, choice B, 132.06, is the correct answer. Choice A, 425.69, is close to the original number but is not the correct answer for the percentage calculation. Choice C, 13.7, is not the correct result for 31% of 426. Choice D, 0.07, is significantly lower than the correct answer and does not represent 31% of 426.

2. As part of a study, a set of patients will be divided into three groups. 4/15 of the patients will be in Group Alpha, 2/5 in Group Beta, and 1/3 in Group Gamma. Order the groups from smallest to largest, according to the number of patients in each group.

Correct answer: B

Rationale: The correct order is Group Alpha, Group Gamma, Group Beta based on the common denominators of the fractions. To determine the order from smallest to largest, compare the fractions' numerators since the denominators are different. Group Alpha has 4/15 patients, Group Gamma has 1/3 patients, and Group Beta has 2/5 patients. Comparing the fractions' numerators, the order from smallest to largest is Group Alpha (4), Group Gamma (1), and Group Beta (2). Therefore, the correct order is Group Alpha, Group Gamma, Group Beta. Choice A is incorrect as it lists Group Beta before Group Gamma. Choice C is incorrect as it lists Group Gamma before Group Alpha. Choice D is incorrect as it lists Group Beta before Group Gamma, which is not in ascending order based on the number of patients.

3. Express 3 5/7 as an improper fraction.

Correct answer: A

Rationale: To convert a mixed number to an improper fraction, multiply the whole number by the denominator of the fraction, then add the numerator. In this case, 3 * 7 + 5 = 21 + 5 = 26. So, 3 5/7 as an improper fraction is 26/7. Choice B (21/7) is incorrect because it represents the original fraction 3 5/7. Choice C (22/7) is incorrect and represents a different fraction. Choice D (26/5) is incorrect and does not reflect the proper conversion of the mixed number to an improper fraction.

4. In a fraction, which number is the numerator and which is the denominator?

Correct answer: A

Rationale: The correct answer is A: 'Numerator: top, Denominator: bottom.' In a fraction, the numerator is the top number, representing the part of the whole being considered, while the denominator is the bottom number, indicating the total number of equal parts into which the whole is divided. Choices B, C, and D are incorrect because they provide inaccurate descriptions of the numerator and denominator positions in a fraction.

5. Approximately what percentage more staff members at Hospital Y are female than at Hospital X?

Correct answer: B

Rationale: To find the percentage more staff members at Hospital Y are female than at Hospital X, we first calculate the percentage of female staff members at each hospital. For Hospital Y: (90 / 183) x 100 ≈ 49.2%. For Hospital X: (97 / 250) x 100 ≈ 38.8%. The difference between these percentages is approximately 10%, making choice B the correct answer. Choice A, 5%, is too low as the difference is greater. Choice C, 15%, and choice D, 20%, are both too high as the actual difference is closer to 10%.

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