7 is divisible by which of the following numbers
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HESI A2

HESI A2 Practice Test Math

1. 7 is divisible by which of the following numbers?

Correct answer: D

Rationale: Rationale: 1. 7 is divisible by 1 because every number is divisible by 1. 2. 7 is divisible by 7 because any number is divisible by itself. 3. 7 is not divisible by 2 because 7 is an odd number and not divisible by 2. 4. 7 is not divisible by 3 because the sum of the digits of 7 (7) is not divisible by 3. Therefore, 7 is divisible by 1, 7, and itself (7), making the correct answer D) 2, 3, and 7.

2. Leslie is blowing up her favorite photograph. If the photo's original height was 15 inches and the new height is 4 feet, how many feet must the new width be?

Correct answer: A

Rationale: To find the new width, we need to maintain the aspect ratio of the photo. The original height is 15 inches, which is equivalent to 1.25 feet. If the new height is 4 feet, the scaling factor for the height is 4/1.25 = 3.2. Therefore, to find the new width, we multiply the original width by this scaling factor: 1.25 feet * 3.2 ≈ 4 feet. So, the correct answer is approximately 2.1 feet (4 feet * (15 inches / 4 feet) ≈ 2.1 feet). Choices B, C, and D are incorrect as they do not consider the aspect ratio and calculate the new width incorrectly.

3. If his current salary is $35,511 and he receives a 5% increase, what will his new salary be?

Correct answer: C

Rationale: To find the new salary after a 5% increase, you need to add 5% of the current salary to the current salary. 5% of $35,511 is $1,775.55. Adding this amount to the current salary gives a new salary of $37,286.55, which is not listed among the answer choices. The closest amount is $37,136.65, which is the correct answer. Choices A, B, and D are incorrect as they do not accurately reflect the new salary after a 5% increase.

4. A marathon runner completes 21.4 miles and burns 2276 calories. What is her rate of calories burned per mile?

Correct answer: B

Rationale: To find the rate of calories burned per mile, divide the total calories burned by the total miles run. In this case, 2276 calories ÷ 21.4 miles = 106.4 calories per mile. Therefore, the correct answer is B. Choice A (106.3) is incorrect because it is slightly lower than the calculated value. Choice C (106.355) is incorrect as it is a more precise value than the calculation result. Choice D (106.36) is also incorrect as it is a more precise value than the calculated answer.

5. What is 33% of 300?

Correct answer: D

Rationale: To find 33% of 300, you multiply 300 by 0.33 (which is the decimal equivalent of 33%). 300 * 0.33 = 99. Therefore, 33% of 300 equals 99. Choice A (3) is incorrect as it is too small for 33% of 300. Choice B (9) is incorrect as it does not reflect the correct calculation for finding 33% of 300. Choice C (33) is incorrect as it represents the percentage value itself, not the result of calculating 33% of 300.

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