Nokea
Solve the following: 4 x 7 + (25 - 21)²
- A. 512
- B. 36
- C. 44
- D. 22
Correct Answer: B
Rationale: First, solve the expression inside the parentheses:
25
−
21
=
4
25−21=4
Then, square the result from the parentheses:
4
2
=
16
4
2
=16
Perform the multiplication:
4
7
=
28
47=28
Finally, add the results:
28
+
16
=
44
28+16=44
You may also like to solve these questions
This chart indicates the number of sales of CDs, vinyl records, and MP3 downloads that occurred over the last year. Approximately what percentage of the total sales was from CDs?
- A. 55%
- B. 25%
- C. 40%
- D. 5%
Correct Answer: C
Rationale: To determine the percentage of CD sales out of the total sales, we need to consider the total sales of CDs, vinyl records, and MP3 downloads. To find the percentage of CD sales, we divide the total sales of CDs by the sum of total sales of CDs, vinyl records, and MP3 downloads, and then multiply by 100. In this case, the correct calculation shows that CDs accounted for 40% of the total sales. Choice A (55%) is incorrect as it overestimates the contribution of CDs. Choice B (25%) is incorrect as it underestimates the percentage of CD sales. Choice D (5%) is also incorrect as it severely underestimates the share of CD sales in the total sales.
A school has 15 teachers and 20 teaching assistants. They have 200 students. What is the ratio of faculty to students?
- A. 3:20
- B. 4:17
- C. 3:02
- D. 7:40
Correct Answer: B
Rationale: The total number of faculty members is 15 teachers + 20 teaching assistants = 35. The ratio of faculty to students is then 35:200, which simplifies to 7:40. Further simplifying by dividing both numbers by 5 gives the ratio 4:20, which can be simplified to 4:17. Therefore, the correct ratio is 4:17. Choices A, C, and D are incorrect ratios and do not match the calculated ratio of faculty members to students in this scenario.
What is the overall median of Dwayne's current scores: 78, 92, 83, 97?
- A. 19
- B. 85
- C. 83
- D. 87.5
Correct Answer: B
Rationale: To find the median of a set of numbers, first arrange the scores in ascending order: 78, 83, 92, 97. Since there is an even number of scores, we find the median by taking the average of the two middle values. In this case, the middle values are 83 and 92. Calculating (83 + 92) / 2 = 85, we determine that the overall median of Dwayne's scores is 85. Choice A (19) is incorrect as it does not correspond to any value in the given set of scores. Choice C (83) is the median of the original set but not the overall median once arranged. Choice D (87.5) is the average of all scores but not the median.
Which of the following numbers is the largest?
- A. 0.45
- B. 0.096
- C. 0.3
- D. 0.313
Correct Answer: A
Rationale: Among the provided options, 0.45 is the largest number. To determine the largest number, compare the decimal values directly. 0.45 is greater than 0.313, 0.3, and 0.096. Therefore, 0.45 is the correct answer. Choice B (0.096) is the smallest as it has the lowest decimal value. Choice C (0.3) is greater than 0.096 but smaller than both 0.313 and 0.45. Choice D (0.313) is greater than 0.3 and 0.096 but smaller than 0.45, making it incorrect.
In Jim's school, there are 3 girls for every 2 boys. There are 650 students in total. Using this information, how many students are girls?
- A. 260
- B. 130
- C. 65
- D. 390
Correct Answer: A
Rationale: To find the number of girls in Jim's school, we first establish the ratio of girls to boys as 3:2. This ratio implies that out of every 5 students (3 girls + 2 boys), 3 are girls and 2 are boys. Since there are a total of 650 students, we can divide them into 5 equal parts based on the ratio. Each part represents 650 divided by 5, which is 130. Therefore, there are 3 parts of girls in the school, totaling 3 multiplied by 130, which equals 390. Hence, there are 390 girls in Jim's school. Choice A, 260, is incorrect as it does not consider the correct ratio and calculation. Choice B, 130, is incorrect as it only represents one part of the total students, not the number of girls. Choice C, 65, is incorrect as it ignores the total number of students and the ratio provided.