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 96 of 150

  • A. y = -2x - 8
  • B. y = x - 8
  • C. y = - x - 8
  • D. y = 2x - 8

Explanation: Choice C is correct. The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Correct answer: y = - x - 8
  • A. It must increase by 24.5 units.
  • B. It must decrease by 24.5 units.
  • C. It must decrease by 7 units.
  • D. It must increase by 7 units.

Explanation: The correct answer is Option B. The length must decrease by 24.5 units when the width of the rectangular region increases by 7 units to…

Correct answer: It must decrease by 24.5 units.
  • A. f(x) = (x + 44)2
  • B. f(x) = (x + 176)2
  • C. f(x) = (176x + 44)2
  • D. f(x) = (176x + 176)2

Explanation: Option A is correct because it accurately calculates the side length of square Q based on the given information and correctly determines…

Correct answer: f(x) = (x + 44)2
  • A. 100
  • B. 60
  • C. 40
  • D. 10

Explanation: The correct answer is 100. It's given that point O is the center of a circle and the measure of arc RS on the circle is o 100 .

Correct answer: 100
  • A. 40
  • B. 60
  • C. 361/8
  • D. 10

Explanation: The given expression is 65√35x45. 8√28x. To simplify, apply the properties of exponents and roots:Recognize that √35 is the same as…

Correct answer: 361/8
  • A. -23
  • B. -19
  • C. -14
  • D. -12

Explanation: Choice D is correct. The equation of a parabola in the xy-plane can be written in the form y=a (x - h)2 + k, where a is a constant and (h.

Correct answer: -12
  • A. 0.2
  • B. 2.9
  • C. 3.344
  • D. 6.864

Explanation: Choice B is correct. To convert yards to miles, use the conversion factor: 1 mile = 1,760 yards.

Correct answer: 2.9
  • A. (16, 2)
  • B. 50.
  • C. (17, 1)
  • D. (18, 0)

Explanation: The correct answer is 50. It's given that the function f gives the total number of people on a company retreat with x managers.

Correct answer: 50.
  • A. xh(x)1-22134
  • B. xh(x)1-12133
  • C. xh(x)1-12335
  • D. xh(x)102234

Explanation: To determine the correct table, substitute each value of x into the function h(x) = 2x - 3. For x = 1, h(x) = 2(1) - 3 = -1.

Correct answer: xh(x)1-12133
  • A. 34
  • B. 35
  • C. 38
  • D. 39

Explanation: Choice A is correct. It's given that the truck can tow a trailer if the combined weight of the trailer and the boxes it contains is no…

Correct answer: 34
  • A. 1.8
  • B. 1.9
  • C. 1.6
  • D. 1.5

Explanation: The correct answer is 1.8. It's given that the regular price of a shirt at a store is $11.70, and the sale price of the shirt is 80% less…

Correct answer: 1.8
  • A. (0, 0)
  • B. (0, 2)
  • C. (2, 0)
  • D. (2, 2)

Explanation: The y-intercept is the point where the graph intersects the y-axis. This occurs when the x-coordinate is 0.

Correct answer: (0, 2)
  • A. 0.051
  • B. 0.51
  • C. 5,100
  • D. 51,000

Explanation: The correct answer is 5,100 centimeters. To convert meters to centimeters, you multiply the number of meters by 100 because there are 100…

Correct answer: 5,100
  • A. 45
  • B. 46
  • C. 48
  • D. 56

Explanation: The correct answer is 46. It's given that O is the center of a circle and that points R and S lie on the circle.

Correct answer: 46
  • A. x ≤ 6n − 12
  • B. x ≥ 6n − 12
  • C. x ≤ 12 − 6n
  • D. x ≥ 12 − 6n

Explanation: The correct answer is Choice B: x ≥ 6n − 12. The problem states that the minimum value of x is 12 less than 6 times another number n.

Correct answer: x ≥ 6n − 12
  • A. 3
  • B. 21
  • C. o41
  • D. 139

Explanation: Choice C is correct. Vertical angles, which are angles that are opposite each other when two lines intersect, are congruent.

Correct answer: o41
  • A. 16/21
  • B. 15/17
  • C. 17/15
  • D. 21/16

Explanation: The correct answer is 15/17. It's given that angle J is the right angle in triangle JKL.

Correct answer: 15/17
  • A. The median of data set B is equal to the median of data set A, and the range of data set B is equal to the range of data set A.
  • B. The median of data set B is equal to the median of data set A, and the range of data set B is greater than the range of data set A
  • C. The median of data set B is greater than the median of data set A, and the range of data set B is equal to the range of data set A
  • D. The median of data set B is greater than the median of data set A, and the range of data set Bis greater than the range of data set A.

Explanation: Choice C is correct. The median of a data set with an odd number of values, in ascending or descending order, is the middle value of the…

Correct answer: The median of data set B is greater than the median of data set A, and the range of data set B is equal to the range of data set A