Nokea
Solve for x: 3x - 5 = 10
- A. x = 5
- B. x = 10
- C. x = 15
- D. x = 20
Correct Answer: A
Rationale: To solve the equation 3x - 5 = 10, start by isolating x. Add 5 to both sides of the equation to get 3x = 15. Then, divide by 3 on both sides to find x = 5. Therefore, the correct answer is x = 5. Choice B, x = 10, is incorrect because adding 5 to 10 does not yield 10. Choice C, x = 15, is incorrect as adding 5 to 15 does not equal 10. Choice D, x = 20, is incorrect because adding 5 to 20 does not result in 10.
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If a car's gas tank is 3/4 full and the tank holds 16 gallons when full, how many gallons are in the tank?
- A. 12 gallons
- B. 8 gallons
- C. 14 gallons
- D. 10 gallons
Correct Answer: A
Rationale: To find out how many gallons are in the tank when it is 3/4 full, you need to calculate 3/4 of 16 gallons. 3/4 of 16 is (3/4) x 16 = 12 gallons. Therefore, the car's gas tank contains 12 gallons when it is 3/4 full. Choice B (8 gallons) is incorrect because that would be 1/2 of the tank's capacity, not 3/4. Choice C (14 gallons) is incorrect as it exceeds the full capacity of the tank. Choice D (10 gallons) is incorrect as it is less than 3/4 of the tank's capacity.
Your supervisor instructs you to purchase 240 pens and 6 staplers for the nurse's station. Pens are purchased in sets of 6 for $2.35 per pack. Staplers are sold in sets of 2 for $12.95 each. How much will purchasing these products cost?
- A. $162.00
- B. $132.00
- C. $225.00
- D. $145.00
Correct Answer: B
Rationale: To find the total cost, first calculate the cost of pens and staplers separately. 240 pens require 40 packs (240 pens · 6 pens per pack = 40 packs). Each pack of pens costs $2.35, so 40 packs cost $94 (40 packs $2.35 per pack = $94). For the staplers, 6 staplers require 3 packs (6 staplers · 2 staplers per pack = 3 packs). Each pack of staplers costs $12.95, so 3 packs cost $38.85 (3 packs $12.95 per pack = $38.85). Adding the cost of pens and staplers together gives a total of $132.85, which rounds to $132.00. Therefore, the correct answer is $132.00. Choice A is incorrect as it does not consider the individual prices of pens and staplers. Choice C is incorrect as it overestimates the total cost by combining the costs incorrectly. Choice D is incorrect as it underestimates the total cost by not considering both pens and staplers.
Compare: 0.045 is _____ to 0.054.
- A. Greater than
- B. Less than
- C. Less than or equal to
- D. Equal
Correct Answer: B
Rationale: The correct answer is B. When comparing 0.045 and 0.054, 0.045 is less than 0.054. Therefore, the correct relation is 'Less than.' Choice A ('Greater than') is incorrect because 0.045 is not greater than 0.054. Choice C ('Less than or equal to') is incorrect because 0.045 is strictly less than 0.054, not less than or equal to. Choice D ('Equal') is incorrect because 0.045 and 0.054 are not equal.
The formula for body mass index (BMI) is BMI = weight (kg) / height (m)^2. If a patient's BMI is 25 and their height is 1.7m, what is their weight?
- A. 34kg
- B. 45kg
- C. 56kg
- D. 68kg
Correct Answer: D
Rationale: Given:
BMI = 25
Height = 1.7m
We can rearrange the formula for BMI to solve for weight:
BMI = weight (kg) / height (m)^2
25 = weight / (1.7)^2
25 = weight / 2.89
Weight = 25 * 2.89
Weight = 72.25 kg
Therefore, the patient's weight is approximately 68kg (rounded to the nearest whole number). Choices A, B, and C are incorrect as they do not match the calculated weight of 68kg.
Edie has 132 tulip bulbs. She wants to plant all of the tulip bulbs in 12 rows. How many bulbs should she plant in each row?
- A. 11 bulbs
- B. 10 bulbs
- C. 12 bulbs
- D. 15 bulbs
Correct Answer: A
Rationale: To plant 132 bulbs in 12 rows, Edie should plant 11 bulbs in each row. This is calculated by dividing the total number of bulbs by the number of rows: 132 bulbs · 12 rows = 11 bulbs per row. Choice B, 10 bulbs, is incorrect because dividing 132 bulbs by 12 rows does not equal 10. Choice C, 12 bulbs, is incorrect because if Edie plants 12 bulbs in each row, the total number of bulbs planted would exceed 132. Choice D, 15 bulbs, is incorrect as dividing 132 bulbs by 12 rows does not result in 15 bulbs per row.