TEAS Math Questions

Correct Answer: B

Rationale: The correct answer is B: $1,280 more. In the financing plan, the total cost is $1,000 (down payment) + ($120 x 24 months) = $1,000 + $2,880 = $3,880. The difference between paying in cash and choosing the financing plan is $3,880 - $2,600 = $1,280. Therefore, the man would pay $1,280 more with the financing plan. A: $1,480 more - Incorrect because it miscalculates the total cost of the financing plan. C: $1,600 more - Incorrect as it overestimates the additional payment compared to the cash option. D: $2,480 more - Incorrect as it includes the total cost of the furniture itself, not just the additional cost of the financing plan.

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: B

Rationale: To calculate the number of people who voted, we multiply the population by the percentage who voted: 51,623 * 0.095 = 4,904.785. Since we can't have a fraction of a person, we round to the nearest whole number, which is 5,000. Explanation: A: 3,000 is too low as it doesn't account for the entire 9.5%. B: Correct. 5,000 is the closest estimate after rounding. C: 7,000 is too high as it overestimates the number of voters. D: 10,000 is too high and doesn't align with the calculated value.

Correct Answer: B

Rationale: To calculate the probability of consecutively pulling 2 orange blocks without replacement, we first find the probability of pulling 1 orange block, then the probability of pulling another orange block. 1. Probability of first orange block = 3/12 = 1/4 2. After removing 1 orange block, there are 2 orange blocks left out of 11 total blocks. 3. Probability of second orange block = 2/11 4. Multiply the probabilities: (1/4) * (2/11) = 2/44 = 1/22 5. Simplify the fraction: 1/22 = 2/44 = 3/66 = 3/55 Therefore, the correct answer is B (3/55) as it represents the probability of consecutively pulling two more orange blocks without replacement. Other choices are incorrect as they do not follow the correct calculation steps.

Correct Answer: A

Rationale: To calculate the final price after a 20% discount, you first find the discount amount by multiplying the original price ($80) by the discount percentage (20% = 0.20), which equals $16. Then, subtract the discount amount from the original price to get the final price: $80 - $16 = $64. Therefore, the correct answer is A. Choice B ($60) is incorrect because it does not account for the correct discount amount. Choice C ($70) is incorrect as it does not reflect the correct calculation after applying the discount. Choice D ($66) is incorrect as it does not consider the accurate discount percentage applied to the original price.