if quotient is 4 and 12 is the dividend what is the divisor

HESI A2

HESI A2 Math Practice

1. If the quotient is 4 and the dividend is 12, what is the divisor?

A. 3
B. 6
C. 4
D. 9

Correct answer: C

Rationale: To find the divisor, you need to divide the dividend by the quotient. In this case, the dividend is 12 and the quotient is 4. Dividing 12 by 4 gives you the divisor, which is 3. Therefore, the correct answer is 4. Choices A, B, and D are incorrect because they do not result from dividing the dividend by the quotient in this scenario.

2. What is the perimeter of a square with a side length of 5 meters?

A. 15 meters
B. 20 meters
C. 25 meters
D. 30 meters

Correct answer: B

Rationale: The formula to calculate the perimeter of a square is P = 4s, where P is the perimeter and s is the length of a side. Given that the side length is 5 meters, the perimeter is 4 * 5 = 20 meters. Therefore, the correct answer is B. Choices A (15 meters), C (25 meters), and D (30 meters) are incorrect as they do not correctly apply the formula to calculate the perimeter of a square.

3. What is the result of adding 1/2 + 4/5?

A. 1 3/10
B. 1/2/2024
C. 1 2/5
D. 1 1/5

Correct answer: A

Rationale: To add fractions, you need a common denominator. In this case, the common denominator is 10. So, 1/2 + 4/5 = 5/10 + 8/10 = 13/10 = 1 3/10. Therefore, the correct answer is A: 1 3/10. Choice B, 1/2/2024, is incorrect as it does not represent the sum of the fractions given. Choice C, 1 2/5, is incorrect as it does not match the sum calculated. Choice D, 1 1/5, is incorrect as it does not reflect the correct sum of the fractions provided.

4. What is the result of the expression 4/5 + 6/7?

A. 1 23/35
B. 2 5/7
C. 1 1/7
D. 1 3/4

Correct answer: A

Rationale: To add fractions with different denominators, you first need to find a common denominator. In this case, the common denominator for 5 and 7 is 35. Then, convert each fraction to have a denominator of 35. 4/5 becomes 28/35, and 6/7 becomes 30/35. Adding these fractions together gives 58/35, which simplifies to 1 23/35. Therefore, the correct answer is A, 1 23/35. Choice B, 2 5/7, is incorrect because it does not match the correct result. Choice C, 1 1/7, is incorrect as it is not the simplified form of the sum of the fractions. Choice D, 1 3/4, is incorrect as it is a different result and not the sum of 4/5 and 6/7.

5. An artist sells paintings at $5.50 each. She has 7 stands and pays $35 per stand. What is her profit if she sells an average of 11 paintings per stand?

A. $245
B. $178.50
C. $175
D. $423.50

Correct answer: B

Rationale: To calculate the profit, first determine the total revenue: 7 stands * 11 paintings per stand * $5.50 per painting = $423.50. Then, subtract the total stand expenses ($35 per stand * 7 stands = $245) from the total revenue to get the profit: $423.50 - $245 = $178.50. Therefore, the correct answer is $178.50. Option A is incorrect because it does not account for the stand expenses. Option C is incorrect as it does not consider the total revenue. Option D is incorrect as it overestimates the profit by not deducting the stand expenses.