All Free Analytical and Logical Reasoning MCQs with Answers
Every Analytical and Logical Reasoning question in the bank, across all chapters, each with the correct answer and a written explanation. Free and unlimited, with no account needed.
2,989 questions · page 93 of 150
- A. I only
- B. II only
- C. I and II
- D. Neither I nor II
Explanation: Choice B is correct. Squaring both sides of the equation √4x = x − 3 yields 4x = (x − 3)2 , or 4x = (x − 3)(x − 3).
Correct answer: II only1842. 2x + 3y = 12003x + 2y = 1300Based on the system of equations above, what is the value of 5x + 5y?
- A. 2200
- B. 2300
- C. 2400
- D. 2500
Explanation: To find the value of 5x + 5y, add the two equations: (2x + 3y) + (3x + 2y) = 1200 + 1300. This simplifies to 5x + 5y = 2500.
Correct answer: 2500- A. 5
- B. 10
- C. 15
- D. 20
Explanation: The correct answer is 20. Begin by recognizing that u2 − t2 can be factored as (u − t)(u + t).
Correct answer: 20- A. A
- B. B
- C. C
- D. D
Explanation: Choice B is correct because it accurately follows the sequence of events described.
Correct answer: B- A. 4x = 108
- B. 4x = 24
- C. 4x = 12
- D. 4x = 3
Explanation: Choice C is correct. Subtracting 6 from both sides of the given equation yields 4x = 12 , which is the equation given in choice C.
Correct answer: 4x = 12- A. 10t ≤ 75
- B. 10 + 25t ≤ 75
- C. 25t ≤ 75
- D. 25 + 10t ≤ 75
Explanation: Choice D is correct. The cost of the rental fee depends on the number of hours the surfboard is rented.
Correct answer: 25 + 10t ≤ 75- A. 1/14
- B. 2/14
- C. 12/14
- D. 13/14
Explanation: Choice A is correct. The total number of possible outcomes for rolling a fair 14-sided die is 14.
Correct answer: 1/14- A. 2520
- B. 3520
- C. 1250
- D. 2000
Explanation: The correct answer is 2,520. There are 60 minutes in one hour. At a rate of 42 posters per minute, the number of posters produced in one…
Correct answer: 2520- A. 4xy = 70
- B. 4(x + y ) = 70
- C. 3x + y = 70
- D. x +3y = 70
Explanation: Choice D is correct. Since x represents the number of 1-point questions and y represents the number of 3-point questions, the assignment…
Correct answer: x +3y = 70- A. 37°
- B. 53°
- C. 127°
- D. 143°
Explanation: Choice B is correct. It's given that triangle LMN is similar to triangle PQR. Corresponding angles of similar triangles are congruent.
Correct answer: 53°- A. y = -1.9x - 10.1
- B. y = -1.9x + 10.1
- C. y = 1.9x - 10.1
- D. y = 1.9x + 10.1
Explanation: Choice B is correct. The equation representing a linear model can be written in the form y = a + bx , or y = bx + a, where b is the slope…
Correct answer: y = -1.9x + 10.1- A. The average number of trees per hectare in the park
- B. The average number of trees per hectare in the residential area
- C. The total number of trees in the park
- D. The total number of trees in the residential area
Explanation: The correct answer is that x represents the average number of trees per hectare in the park.
Correct answer: The average number of trees per hectare in the park- A. 404
- B. 7,674
- C. 710,459
- D. 13,505,536
Explanation: The correct answer is 13,505,536 square yards. To find the area of the town in square yards, remember that 1 mile equals 1,760 yards.
Correct answer: 13,505,536- A. It is unlikely that less than 23% of the students see a movie at least once per month.
- B. At least 23%, but no more than 25%, of the students see a movie at least once per month.
- C. The researcher is between 19% and 27% sure that most students see a movie at least once per month.
- D. It is plausible that the percentage of students who see a movie at least once per month is between 19% and 27%.
Explanation: Choice D is correct. The margin of error is used to calculate a confidence interval around the sample statistic, in this case, 23%.
Correct answer: It is plausible that the percentage of students who see a movie at least once per month is between 19% and 27%.- A. The means are the same, and the standard deviations are different.
- B. The means are the same, and the standard deviations are the same.
- C. The means are different, and the standard deviations are different.
- D. The means are different, and the standard deviations are the same.
Explanation: Choice A is correct. The mean number of each list is found by dividing the sum of all the numbers in each list by the count of the numbers…
Correct answer: The means are the same, and the standard deviations are different.- A. 2√3
- B. 6
- C. 12
- D. 36
Explanation: To find the radius of the cone's base, use the formula V = 1/3 πr2h. Substituting the given values, you get 24π = (2π/3)r2.
Correct answer: 6- A. 60,000
- B. 90,000
- C. 160,000
- D. 240,000
Explanation: To solve the problem, start with City X. It had a population of 120,000 in 2010, and with a 20% increase, its population in 2015 was…
Correct answer: 160,000- A. r = 4π⁄3V
- B. r = 3V⁄4π
- C. r = 3√4π⁄3V
- D. 3√3V/4π
Explanation: To find the radius in terms of the volume, start with the formula for the volume of a sphere: V = 4/3πr3.
Correct answer: 3√3V/4π- A. The mean
- B. The median
- C. The range
- D. The standard deviation
Explanation: Choice C is correct. Let m be the minimum value of the original data set.
Correct answer: The range- A. The function f is a decreasing linear function.
- B. The function f is an increasing linear function.
- C. The function f is a decreasing exponential function.
- D. The function f is an increasing exponential function.
Explanation: Choice D is correct. It's given that the number of people Eleanor invited the first year was 30 and that the number of people invited…
Correct answer: The function f is an increasing exponential function.