a closet is filled with red blue and green shirts if of the shirts are green and are red what fraction of the shirts are blue
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ATI TEAS 7

TEAS Test Sample Math Questions

1. A closet is filled with red, blue, and green shirts. If 2/5 of the shirts are green and 1/3 are red, what fraction of the shirts are blue?

Correct answer: C

Rationale: To find the fraction of blue shirts, subtract the fractions of green and red shirts from 1. Green shirts are 2/5 and red shirts are 1/3, which sum up to 11/15. Therefore, blue shirts would be 1 - 11/15 = 4/15. So, the correct answer is 4/15. Choice A (4/15) is incorrect as it represents the overall fraction of green shirts. Choice B (1/5) is incorrect as it does not account for the fractions of green and red shirts. Choice D (1/2) is incorrect as it does not consider the given fractions of green and red shirts.

2. If a product's original price is $80 and it is discounted by 20%, what is the final price?

Correct answer: A

Rationale: To find the discounted price, you first calculate 20% of the original price: 20% of $80 is $16. Subtracting this discount amount from the original price gives the final price: $80 - $16 = $64. Therefore, the final price after a 20% discount on a product originally priced at $80 is $64. 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 reduction due to the 20% discount. Choice D, $66, is incorrect as it miscalculates the discounted price.

3. The graph below represents the amount of rainfall in a particular state by month. What is the total rainfall for the months May, June, and July?

Correct answer: A

Rationale: To calculate the total rainfall for May, June, and July, we add the rainfall amounts for each month: 3.2 inches (May) + 2.5 inches (June) + 3.3 inches (July) = 9.0 inches. Therefore, the correct answer is A. Choice B (8.4 inches) is incorrect as it does not account for the correct sum of rainfall for the specified months. Choice C (7.5 inches) is incorrect as it does not include the accurate total rainfall for May, June, and July. Choice D (10.5 inches) is incorrect as it provides a total that exceeds the actual combined rainfall for the given months.

4. A quantity increases from 40 to 60. Express this increase as a percentage.

Correct answer: B

Rationale: To calculate the percentage increase, use the formula: Percentage Increase = ((New Value - Original Value) / Original Value) x 100 Substitute the values: ((60 - 40) / 40) x 100 = (20 / 40) x 100 = 0.5 x 100 = 50% Therefore, the correct answer is 50%. Choice A (26%) is incorrect as the percentage increase is not 26%. Choice C (35%) is incorrect as the percentage increase is not 35%. Choice D (12%) is incorrect as the percentage increase is not 12%.

5. A recipe calls for 5.5 teaspoons of vanilla. 1 teaspoon equals approximately 4.93 mL. Which of the following is the correct amount of vanilla in mL?

Correct answer: D

Rationale: To convert the amount of vanilla from teaspoons to milliliters, we multiply the number of teaspoons by the conversion factor of 4.93 mL/teaspoon. 5.5 teaspoons * 4.93 mL/teaspoon = 27.115 mL, which rounds to 27 mL. Therefore, the correct amount of vanilla in mL is 27 mL. Choice A (10.2 mL), Choice B (12 mL), and Choice C (7.43 mL) are incorrect as they do not correctly convert the given amount of teaspoons to milliliters based on the provided conversion factor.

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