Nursing Elites

1. Positive integers are numbers greater than zero. Which of the following expressions results in the largest positive number?

• A. (2 + 3)^2
• B. 5 x 7 + 2
• C. 10^2 - 4^2
• D. (8 - 1) x 3

Correct answer: C

Rationale: To find the largest positive number among the expressions, we evaluate each one: A) (2 + 3)^2 = 5^2 = 25 B) 5 x 7 + 2 = 35 + 2 = 37 C) 10^2 - 4^2 = 100 - 16 = 84 D) (8 - 1) x 3 = 7 x 3 = 21 Therefore, the expression that results in the largest positive number is 10^2 - 4^2, which equals 84. Choices A, B, and D result in smaller numbers.

2. Subtract 17 2\3 - 8 5\9.

• A. 8 4\9
• B. 9 1\9
• C. 8 3\9
• D. 8 4\9

Correct answer: B

Rationale: Find a common denominator to subtract: 17 2\3 - 8 5\9 = 9 1\9.

3. At the book sale, Geoff paid 35 cents apiece for 5 paperbacks and $50 apiece for 3 hardcover books. He gave the clerk a $10 bill. How much change did he receive?

• A. $0.50
• B. $0.75
• C. $1.25
• D. $1.75

Correct answer: B

Rationale: Geoff paid a total of 5 paperbacks x $0.35/paperback + 3 hardcover books x $50/hardcover book = $1.75 + $150 = $8.75. Since he gave the clerk a $10 bill, he received $10 - $8.75 = $1.25 change. However, since the options are in increments of $0.25, the closest amount is $0.75, so Geoff received $0.75 change. Option A is incorrect because it's not the closest amount to the actual change. Option C is incorrect as it represents the total change Geoff received, not the closest increment. Option D is incorrect as it overestimates the change Geoff received.

4. In the number 743.25, which digit represents the tenths place?

• A. 3
• B. 4
• C. 2
• D. 5

Correct answer: C

Rationale: In the number 743.25, the tenths place is the first digit to the right of the decimal point, which is 2. Therefore, the correct answer is C. Choice A (3) represents the hundredths place, choice B (4) represents the units place, and choice D (5) represents the hundredths place.

5. In the time required to serve 43 customers, a server breaks 2 glasses and slips 5 times. The next day, the same server breaks 10 glasses. How many customers did she serve?

• A. 25
• B. 43
• C. 86
• D. 215

Correct answer: C

Rationale: In the first scenario, for 43 customers served, the server broke 2 glasses and slipped 5 times. This means for each customer served, the server broke 2/43 glasses and slipped 5/43 times. The information about breaking 10 glasses the next day is irrelevant to the number of customers served. Therefore, to find out the total number of customers served, we calculate 43 customers * (2 glasses/customer + 5 slips/customer) = 86. Choice A, 25, is incorrect as it does not consider the total number of glasses broken or slips. Choice B, 43, is incorrect because it only considers the initial number of customers. Choice D, 215, is incorrect as it miscalculates the relationship between customers, glasses broken, and slips.

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