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 35 of 150

  • 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
  • A. Quad 1
  • B. Quad III
  • C. Quad II
  • D. Solution does not exist

Explanation: Correct Answer "Solution Doesn't exist"solution:Hence Answer is "(D)"

Correct answer: Solution does not exist
  • A. 1/2 = (cos 2θ-sin 4θ)
  • B. 1/2 (sin 8θ-sin2θ)
  • C. 1/4 (tan 2θ-sin 4θ)
  • D. 1/2 (9 cos 2θ-cos 4θ)

Explanation: Correct answer is " B Option" or ''1/2 (sin 8θ-sin2θ)''This question can be solved as:Hence using above calculations the answer to…

Correct answer: 1/2 (sin 8θ-sin2θ)