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 98 of 150

  • A. I only
  • B. II only
  • C. I and II only
  • D. II and III only

Explanation: To determine the possible distances between Cottage A and Cottage C, apply the triangle inequality theorem.

Correct answer: II and III only
  • A. Will be 1
  • B. Will be 2
  • C. Will be 4
  • D. Cannot be determined

Explanation: The original cube has a volume of 8 cubic centimeters. Since the volume (V) of a cube is given by V = side^3, each side of the original…

Correct answer: Will be 1
  • A. 10
  • B. 13
  • C. 24
  • D. 26

Explanation: The vehicle is inclined 26 units up the ramp. We know that for a ramp length of 13 units (from our slope ratio calculation), the vertical…

Correct answer: 10
  • A. 45%
  • B. 0.5
  • C. 3/4
  • D. 0.666

Explanation: A) 45%: To convert a percentage to a decimal, divide by 100. 45% = 45 / 100 = 0.45 * B) 0.5: This is already in decimal form.

Correct answer: 3/4
  • A. A square with side length equal to the diameter of the circle
  • B. A rectangle with length equal to the diameter of the circle and width equal to half the radius
  • C. A triangle with a base equal to the circle's diameter and height equal to the radius
  • D. A parallelogram with base equal to the circle's diameter and height equal to the radius

Explanation: The correct answer is the triangle with a base equal to the circle's diameter and height equal to the radius.

Correct answer: A triangle with a base equal to the circle's diameter and height equal to the radius
  • A. 5
  • B. 6
  • C. 24
  • D. 25

Explanation: To find the least number of teachers, we need to equate the fractions of teachers and seats. Let T represent the number of teachers.

Correct answer: 24
  • A. 0.3, 1/5 and 15%
  • B. 15%, 1/5 and 0.3
  • C. 0.3, 15% and 1/5
  • D. 1/5, 0.3 and 15%

Explanation: To solve this question, convert each value to a decimal:0.3 is already a decimal.1/5 = 0.215% = 15/100 = 0.15Now, arrange them in…

Correct answer: 15%, 1/5 and 0.3
  • A. 27
  • B. 35
  • C. 39
  • D. 43

Explanation: The given sequence is an arithmetic progression (AP) with the first term a = 3 and a common difference d = 4.

Correct answer: 39
  • A. (4, 5)
  • B. (0, 4)
  • C. (0, 0)
  • D. (5, 0)

Explanation: The correct answer is (4, 5) because this is the point where the linear and nonlinear graphs intersect, indicating that it satisfies both…

Correct answer: (4, 5)
  • A. Decreasing linear
  • B. Increasing linear
  • C. Decreasing exponential
  • D. Increasing exponential

Explanation: The correct answer is Option B: Increasing linear. In a table where function f is described as increasing linear, each increase in input…

Correct answer: Increasing linear
  • A. 29
  • B. 30
  • C. 39
  • D. 49

Explanation: The correct answer is 29. The range of a data set is the difference between its maximum value and its minimum value.

Correct answer: 29
  • A. s ≥ 2.4
  • B. s ≥ 1.8
  • C. 0 ≤ s ≤ 0.6
  • D. 0.6 ≤ s ≤ 1.8

Explanation: Choice D is correct. It's given that for a snowstorm in a certain town, the minimum rate of snowfall recorded was 0.6 inches per hour, the…

Correct answer: 0.6 ≤ s ≤ 1.8
  • A. 132π
  • B. 264π
  • C. 726π
  • D. 2,904π

Explanation: Choice C is correct. The volume, V, of a right circular cylinder is given by the formula V = πr²h, where r is the radius of the base of…

Correct answer: 726π
  • A. x/26
  • B. 26x
  • C. x+26
  • D. 26/x

Explanation: The correct answer is 26x. The ratio of coaches to athletes is 1 to 26, meaning for every coach, there are 26 athletes.

Correct answer: 26x
  • A. Kaylani made 6 suits.
  • B. Kaylani purchased a total of 6 yards of fabric.
  • C. Kaylani used a total of 6 yards of fabric to make the suits.
  • D. Kaylani purchased 6 yards more fabric than she used to make the suits.

Explanation: Choice D is correct. It's given that the equation y - 5x = 6 represents the relationship between the number of suits that Kaylani made, x…

Correct answer: Kaylani purchased 6 yards more fabric than she used to make the suits.
  • A. − √3
  • B. -√3/3
  • C. √3/3
  • D. √3

Explanation: Choice A is correct. A trigonometric ratio can be found using the unit circle, that is, a circle with radius 1 unit.

Correct answer: − √3
  • A. V(x) = x(x + 9)(x + 7)
  • B. V(x) = x(x + 9)(x − 7)
  • C. V(x) = 9x(x + 7)
  • D. V(x) = 9x(x − 7)

Explanation: Choice D is correct. The volume of a right rectangular prism can be represented by a function V that gives the volume of the prism, in…

Correct answer: V(x) = 9x(x − 7)