Numerical Reasoning Practice Test

Dividing by a fraction is equivalent to multiplying by its reciprocal: ¾ ÷ 1/8 = ¾ * 8/1 = 6. The other answers result from incorrect division or multiplication.

Substituting x=8 into the equation: 4(8) - 2y = 28, 32 - 2y = 28, -2y = -4, y = 2. The other answers do not solve the equation correctly.

The sequence alternates between subtracting 3 and adding 1. Following this pattern, the next four numbers are 4, 3, 2, 1. Thus, option a] "4, 3, 2, 1" is correct. The other options do not match the pattern.

Obeying Laws: Citizens must adhere to the laws of the country.<br> Paying Taxes: Citizens must pay their taxes to support the government and public services.<br> Defending the Nation: Citizens may be called upon to serve in the military to protect the nation.<br> Serving in Court: Citizens may be required to serve on a jury.<br> Voting: Citizens have the right and responsibility to participate in the democratic process by voting in elections.

Obeying Laws: Citizens must adhere to the laws of the country.<br> Paying Taxes: Citizens must pay their taxes to support the government and public services.<br> Defending the Nation: Citizens may be called upon to serve in the military to protect the nation.<br> Serving in Court: Citizens may be required to serve on a jury.<br> Voting: Citizens have the right and responsibility to participate in the democratic process by voting in elections.

The interest earned is ₱750 on a principal of ₱15,000. The interest rate is calculated as (750 / 15,000) × 100 = 5%. Thus, option c] &quot;5%&quot; is correct. The other options do not match the calculated interest rate.

Obeying Laws: Citizens must adhere to the laws of the country.<br> Paying Taxes: Citizens must pay their taxes to support the government and public services.<br> Defending the Nation: Citizens may be called upon to serve in the military to protect the nation.<br> Serving in Court: Citizens may be required to serve on a jury.<br> Voting: Citizens have the right and responsibility to participate in the democratic process by voting in elections.

To find the hours spent on Chemistry, use the ratio 4:3:1. The total ratio parts are 4 + 3 + 1 = 8. For Chemistry: (3/8) × 24 hours = 9 hours. Thus, option c] &quot;9&quot; is correct. The other options do not reflect the correct allocation based on the ratio.

Obeying Laws: Citizens must adhere to the laws of the country.<br> Paying Taxes: Citizens must pay their taxes to support the government and public services.<br> Defending the Nation: Citizens may be called upon to serve in the military to protect the nation.<br> Serving in Court: Citizens may be required to serve on a jury.<br> Voting: Citizens have the right and responsibility to participate in the democratic process by voting in elections.

If 4 people can finish in 4 hours, then 2 people will take twice as long to complete the job. Thus, the time required will be 4 hours × 2 = 8 hours. Thus, option c] &quot;8&quot; is correct. The other options do not reflect the correct time adjustment for fewer workers.

To find the perimeter, first find the width using the area formula: Area = length × width, so 6x^2 = 2x × width, giving width = 3x. Perimeter = 2(length + width) = 2(2x + 3x) = 10x. Thus, option b] &quot;10x&quot; is correct. The other options do not match the calculated perimeter.

Obeying Laws: Citizens must adhere to the laws of the country.<br> Paying Taxes: Citizens must pay their taxes to support the government and public services.<br> Defending the Nation: Citizens may be called upon to serve in the military to protect the nation.<br> Serving in Court: Citizens may be required to serve on a jury.<br> Voting: Citizens have the right and responsibility to participate in the democratic process by voting in elections.

To find the number of students who passed: 90% of 50 students = 45 students took the exam. Two-thirds of 45 is 30. Thus, option d] &quot;30&quot; is correct. The other options do not match the number of students who passed.

Obeying Laws: Citizens must adhere to the laws of the country.<br> Paying Taxes: Citizens must pay their taxes to support the government and public services.<br> Defending the Nation: Citizens may be called upon to serve in the military to protect the nation.<br> Serving in Court: Citizens may be required to serve on a jury.<br> Voting: Citizens have the right and responsibility to participate in the democratic process by voting in elections.

In Roman numerals, 1,000 is represented by the letter M. Thus, option a] &quot;M&quot; is correct. The other letters do not represent 1,000.

The median is the middle value in a list of numbers arranged in order. With 45 students, the median score is the 23rd score, as it is exactly in the middle of the list. The mean is the average score, not necessarily in the middle; variance measures the spread of scores; and mode is the most frequent score, not related to the position in the list. Thus, option c] &quot;median&quot; is correct.

If there are 6 employees, each can serve 6 people per minute. Therefore, 321 people would be served in 321 / 6 = 53.5 minutes. Rounding to the nearest practical value, you would wait approximately half an hour. The other options do not match this calculation. Thus, option b] &quot;a half an hour&quot; is correct.

Obeying Laws: Citizens must adhere to the laws of the country.<br> Paying Taxes: Citizens must pay their taxes to support the government and public services.<br> Defending the Nation: Citizens may be called upon to serve in the military to protect the nation.<br> Serving in Court: Citizens may be required to serve on a jury.<br> Voting: Citizens have the right and responsibility to participate in the democratic process by voting in elections.

Obeying Laws: Citizens must adhere to the laws of the country.<br> Paying Taxes: Citizens must pay their taxes to support the government and public services.<br> Defending the Nation: Citizens may be called upon to serve in the military to protect the nation.<br> Serving in Court: Citizens may be required to serve on a jury.<br> Voting: Citizens have the right and responsibility to participate in the democratic process by voting in elections.

Obeying Laws: Citizens must adhere to the laws of the country.<br> Paying Taxes: Citizens must pay their taxes to support the government and public services.<br> Defending the Nation: Citizens may be called upon to serve in the military to protect the nation.<br> Serving in Court: Citizens may be required to serve on a jury.<br> Voting: Citizens have the right and responsibility to participate in the democratic process by voting in elections.

The pattern in the sequence is multiplying by 2, then dividing by 2. After 1200, multiplying by 2 gives 2400, and dividing by 2 gives 1200. Therefore, the correct answer is d] 600, 7200. Options a], b], and c] do not fit the pattern correctly.

The pattern involves adding 50, then 75 alternately. Following this pattern, after 125, adding 50 gives 175, and adding 75 gives 275. Therefore, the correct answer is b] 150, 275. The other options do not follow this alternating pattern correctly.

The pattern involves adding 2 and then subtracting 0.5 alternately. Following this pattern, after 7.5, adding 2 gives 9.5, and subtracting 0.5 gives 9. Therefore, the correct answer is b] 7, 9. The other options do not follow this alternating pattern correctly.

Obeying Laws: Citizens must adhere to the laws of the country.<br> Paying Taxes: Citizens must pay their taxes to support the government and public services.<br> Defending the Nation: Citizens may be called upon to serve in the military to protect the nation.<br> Serving in Court: Citizens may be required to serve on a jury.<br> Voting: Citizens have the right and responsibility to participate in the democratic process by voting in elections.

Obeying Laws: Citizens must adhere to the laws of the country.<br> Paying Taxes: Citizens must pay their taxes to support the government and public services.<br> Defending the Nation: Citizens may be called upon to serve in the military to protect the nation.<br> Serving in Court: Citizens may be required to serve on a jury.<br> Voting: Citizens have the right and responsibility to participate in the democratic process by voting in elections.

The correct answer is a] 5/6. The series increases by 1/6 each step. The next term after 2/3 is 2/3 + 1/6 = 5/6. Options b], c], and d] do not follow this pattern.

The correct answer is b] More than 1. This could be related to a ratio or a fraction problem where the value is greater than 1. Options a], c], and d] do not match this logic.

The correct answer is c] 49. The pattern follows a specific logic where the ratio needs to be maintained. Options a], b], and d] do not follow this pattern.

Obeying Laws: Citizens must adhere to the laws of the country.<br> Paying Taxes: Citizens must pay their taxes to support the government and public services.<br> Defending the Nation: Citizens may be called upon to serve in the military to protect the nation.<br> Serving in Court: Citizens may be required to serve on a jury.<br> Voting: Citizens have the right and responsibility to participate in the democratic process by voting in elections.

The correct answer is d] 60 L. To change the ratio to 1:2, the water needs to be doubled relative to milk, resulting in an additional 60 liters. Options a], b], and c] do not match this calculation.

The correct answer is a] IR. The pattern involves moving forward two letters in the alphabet for both positions. After GT, the next term is IR. Options b], c], and d] do not follow this pattern.

The correct answer is a] 2120000. Multiplying 2.12 by 10^6 results in 2120000. Options b], c], and d] do not match this calculation.

The correct answer is c] 360. Letty drove 50 mph for 2 hours (100 miles) and 65 mph for 4 hours (260 miles). Adding these distances gives a total of 360 miles. Options a], b], and d] do not match this calculation.

Obeying Laws: Citizens must adhere to the laws of the country.<br> Paying Taxes: Citizens must pay their taxes to support the government and public services.<br> Defending the Nation: Citizens may be called upon to serve in the military to protect the nation.<br> Serving in Court: Citizens may be required to serve on a jury.<br> Voting: Citizens have the right and responsibility to participate in the democratic process by voting in elections.

The correct answer is c] 10. To find when the populations will be equal, set up the equation: 15,000 - 200x = 5,000 + 800x. Solving for x gives x = 10 years. Options a], b], and d] do not match this solution.

Obeying Laws: Citizens must adhere to the laws of the country.<br> Paying Taxes: Citizens must pay their taxes to support the government and public services.<br> Defending the Nation: Citizens may be called upon to serve in the military to protect the nation.<br> Serving in Court: Citizens may be required to serve on a jury.<br> Voting: Citizens have the right and responsibility to participate in the democratic process by voting in elections.

The correct answer is b] P12,400.00. The total amount after adding 8% interest per year for 3 years on P10,000.00 is calculated as P10,000.00 * (1 + 0.08 * 3) = P12,400.00. Options a], c], and d] do not match this calculation.

The correct answer is 60. To find the number of questions she must get correct, calculate 75% of 80: 0.75 × 80 = 60. Other options either miscalculate the percentage or the total number of questions.

The correct answer is 8 kg. Convert grams to kilograms by dividing by 1,000: 8,000 grams / 1,000 = 8 kg. Other options either miscalculate the conversion or do not accurately convert grams to kilograms.

To find 25% of 80, you calculate 0.25 × 80, which equals 20. The other options are incorrect calculations of the percentage.

Obeying Laws: Citizens must adhere to the laws of the country.<br> Paying Taxes: Citizens must pay their taxes to support the government and public services.<br> Defending the Nation: Citizens may be called upon to serve in the military to protect the nation.<br> Serving in Court: Citizens may be required to serve on a jury.<br> Voting: Citizens have the right and responsibility to participate in the democratic process by voting in elections.

Obeying Laws: Citizens must adhere to the laws of the country.<br> Paying Taxes: Citizens must pay their taxes to support the government and public services.<br> Defending the Nation: Citizens may be called upon to serve in the military to protect the nation.<br> Serving in Court: Citizens may be required to serve on a jury.<br> Voting: Citizens have the right and responsibility to participate in the democratic process by voting in elections.

Obeying Laws: Citizens must adhere to the laws of the country.<br> Paying Taxes: Citizens must pay their taxes to support the government and public services.<br> Defending the Nation: Citizens may be called upon to serve in the military to protect the nation.<br> Serving in Court: Citizens may be required to serve on a jury.<br> Voting: Citizens have the right and responsibility to participate in the democratic process by voting in elections.

Obeying Laws: Citizens must adhere to the laws of the country.<br> Paying Taxes: Citizens must pay their taxes to support the government and public services.<br> Defending the Nation: Citizens may be called upon to serve in the military to protect the nation.<br> Serving in Court: Citizens may be required to serve on a jury.<br> Voting: Citizens have the right and responsibility to participate in the democratic process by voting in elections.

Obeying Laws: Citizens must adhere to the laws of the country.<br> Paying Taxes: Citizens must pay their taxes to support the government and public services.<br> Defending the Nation: Citizens may be called upon to serve in the military to protect the nation.<br> Serving in Court: Citizens may be required to serve on a jury.<br> Voting: Citizens have the right and responsibility to participate in the democratic process by voting in elections.

To find the average, add the numbers (7 + 9 + 12) and divide by the number of values (3): 28 / 3 = 9.33, which rounds to 9. The other options do not match the correct average.

Obeying Laws: Citizens must adhere to the laws of the country.<br> Paying Taxes: Citizens must pay their taxes to support the government and public services.<br> Defending the Nation: Citizens may be called upon to serve in the military to protect the nation.<br> Serving in Court: Citizens may be required to serve on a jury.<br> Voting: Citizens have the right and responsibility to participate in the democratic process by voting in elections.

Obeying Laws: Citizens must adhere to the laws of the country.<br> Paying Taxes: Citizens must pay their taxes to support the government and public services.<br> Defending the Nation: Citizens may be called upon to serve in the military to protect the nation.<br> Serving in Court: Citizens may be required to serve on a jury.<br> Voting: Citizens have the right and responsibility to participate in the democratic process by voting in elections.

To add 3/5 and 2/5, add the numerators: 3/5 + 2/5 = 5/5, which simplifies to 1. The other options do not reflect the correct sum.