Free Logical Problems MCQs with Answers
519 Logical Problems MCQs from Analytical and Logical Reasoning, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.
Logical problems present several conditions about people, objects, events or choices and require their possible arrangements to be tested. They cover constraint-based reasoning, rankings, matching, grouping, scheduling and elimination, with attention to the difference between a complete solution and a possibility that merely satisfies one condition.
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Read the Logical Problems notesFree MDCAT chapter notes with key terms519 questions · page 10 of 26
- A. 10
- B. 11
- C. 12
- D. 14
Explanation: This is correct because 8 × 6 = 48 man-days, so 48 ÷ 4 = 12 workers required.
Correct answer: 12- A. 7 days
- B. 10 days
- C. 12 days
- D. 15 days
Explanation: This is correct because total time = 5 ÷ (⅓) = 15 days, so remaining ⅔ = 15 × (⅔) = 10 days.
Correct answer: 10 days- A. 15 m West
- B. 30 m East
- C. 30 m West
- D. 45 m East
Explanation: The explanation for this question will be added soon.
Correct answer: 45 m East- A. 234
- B. 994
- C. 657
- D. 647
Explanation: The explanation for this question will be added soon.
Correct answer: 234- A. -4
- B. -3
- C. 2
- D. 3
- E. 4
Explanation: You can sovle this problem as shown below:
Correct answer: 3- A. Chest
- B. Ear
- C. Lip
- D. Nose
Explanation: Options B, C, and D are body parts found on the head. Chest is the only outlier here.
Correct answer: Chest- A. Eagle
- B. Cloud
- C. Squirrel
- D. Plane
Explanation: All Options excluding C refers to animals and objects that are involved in flying.
Correct answer: Squirrel- A. East
- B. West
- C. North
- D. South
Explanation: When the man was walking northwards, he was on the path of North. When he turned left he started walking towards the West.
Correct answer: West- A. -20
- B. 5
- C. 0
- D. λ<5
Explanation: Correct Answer "λ<5"Solution:x1²+y1²-2x1-4y1+λ <0 , usex2=1,y1=2
Correct answer: λ<5- A. (1, √3/2)
- B. (2/3,1/ √3)
- C. (2/3, √3/2)
- D. (1,1/ √3)
Explanation: Following is the solution to this question.
Correct answer: (1,1/ √3)- A. 1+sina
- B. 1-sina
- C. 2+sin2a/2
- D. 1+cos2a/2
Explanation: Correct answer Is "C option" or "2+sin2a/2"Using the formula:a3-b3=(a-b)( a2+ab+b2)The question can be done as:2+sin2a/2Hence using all…
Correct answer: 2+sin2a/2- A. 32x2
- B. 30x2
- C. -32x2
- D. 14x2
Explanation: Solution: To make it a perfect square consider the algebraic formula, =( 3x2)2+2(3x2)(5)+(5)2 = 9x4+30x2+25 (This makes a perfect…
Correct answer: -32x2- A. real and equal
- B. Rational & unequal
- C. irrational & unequal
- D. complex
Explanation: Solution: When discrimination is negative then the roots are negative/imaginary.
Correct answer: complex- A. 𝛑/2+n𝛑
- B. 𝛑/2+2n𝛑
- C. 3𝛑/2+2n𝛑
- D. 3𝛑/2+n𝛑
Explanation: Correct Answer "𝛑/2+2n𝛑"Solution:Hence Answer is "(B)"
Correct answer: 𝛑/2+2n𝛑- A. An identity.
- B. partial fraction
- C. Equation
- D. Conditional Equation
Explanation: Partial fraction decomposition is a technique used in algebra to decompose a rational function (a fraction of polynomials) into a sum of…
Correct answer: partial fraction- A. (-6.-5)
- B. (-5,-6)
- C. (-6,5)
- D. (6,-5)
Explanation: Following is the solution to this question.
Correct answer: (-6,5)- A. a=2, b=4
- B. a=3, b=4
- C. a=2,b=3
- D. a=3,b=5
Explanation: Following is the solution to this question.
Correct answer: a=2, b=4- A. h=2a
- B. h=2b
- C. h=a+b
- D. h=2c
Explanation: Following is the solution to this question.
Correct answer: h=2a- A. (25/6,-31/6)
- B. (25,-31)
- C. (1,1)
- D. (-1,3)
Explanation: Following is the solution to this question.
Correct answer: (25/6,-31/6)- A. 4, ω, ω2
- B. - 4, ω, ω2
- C. -4, -4ω-4ω2
- D. 4, 4ω, 4ω2
Explanation: Solution: The cube root of unity is 1,ω, 2The cube root of -64, 3-64= -6413= -4313= -4So the roots will be, -4,-4ω,- 42
Correct answer: -4, -4ω-4ω2