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.
Last updated
Read the Logical Problems notesFree MDCAT chapter notes with key terms519 questions · page 11 of 26
- 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)- A. S(C,r)={P(x,y):|CP|<r}
- B. S(C,r)={P(x,y)|CP|>r}
- C. S(C,r)={P(x,y):|CP|=r}
- D. None of the above
Explanation: Correct Answer "S(C,r)={P(x,y):|CP|=r}Solution:Set form of verb
Correct answer: S(C,r)={P(x,y):|CP|=r}- A. proper
- B. improper
- C. conditional
- D. none
Explanation: We cannot definitively say whether this is a proper or improper rational fraction without further analysis.A proper rational fraction has…
Correct answer: none- A. 2 : 3 : 1
- B. √3 : 2 : 1
- C. 2 : √3 : 1
- D. 1 : √3 : 2
Explanation: a =30° , B =60° , y =90°a = x, b = √3 xa : b : c =x : √3 x +2x =1 : √3 : 2
Correct answer: 1 : √3 : 2- A. (0,0)
- B. (0,12)
- C. (2,12)
- D. cannot find
Explanation: External division is only possible whenk1≠ k2
Correct answer: cannot find- A. 2sinbacos2a
- B. 2sinacosa
- C. 2 cos 25α / 24 COS 7α / 24
- D. 2 cos 52α / 2 COS 5α / 12
Explanation: Correct answer is "C option" or 2 cos 25α / 24 COS 7α / 24''It can be solved as:
Correct answer: 2 cos 25α / 24 COS 7α / 24208. sin 2a /1-cos 2a =?
- A. sina
- B. cota
- C. cosec a
- D. sec a
Explanation: Correct answer is "B option or "cota".It can be solved as: Hence using the above calculations , the answer is "Cota".
Correct answer: cota- A. Two solution
- B. Finite solution
- C. Infinite solution
- D. Solution does not exist
Explanation: Correct Answer "Infinite Solution"Solution :Infinite solution in generalHence Answer is "(C)"
Correct answer: Infinite solution- A. L
- B. X
- C. R
- D. Y
Explanation: R L A N are the letters we have and no word can be formed with them so the answer is y.
Correct answer: Y- A. 10
- B. 12
- C. 15
- D. Both A and B
Explanation: Solve using substitution A-B = 3. A = 3+B. WE KNOW THAT, A^2+B^2 = 29. (3+B) ^2+B^2 = 29. 9+B^2+6B+B^2 = 29. 2B^2+6B-20 = 0.
Correct answer: 10- A. James
- B. Ruby
- C. Rachel
- D. Max
Explanation: According to the passage, Max is initially ahead of the dog walking in the opposite direction.
Correct answer: Max- A. 4
- B. 8
- C. 6
- D. Both Options A and B are correct
Explanation: Given to us that the order of a set is three which means that the number of elements in the set is three.The number of subsets for a set…
Correct answer: 8- A. Apple
- B. Mango
- C. Cucumber
- D. Orange
Explanation: All options except cucumber are fruits. Cucumber is a vegetable, hence it does not belong to the other options.
Correct answer: Cucumber- A. Tiger
- B. Leopard
- C. Duck
- D. Elephant
Explanation: OPTION A, B, and D: All are mammals. OPTION C: A duck is a bird. Therefore, this word does not belong to others.
Correct answer: Duck- A. Muhammad bin Ismail
- B. Muhammad Ismail
- C. Muhammad Ibrahim
- D. Both A and B
Explanation: The full name of Imam Bukhari (R.A.) is Abu Abdullah Muhammad ibn Ismail ibn Ibrahim commonly known as Imam Bukhari or Imam al-Bukhari.
Correct answer: Muhammad bin Ismail- A. in the alley behind the house
- B. on the north side of the house
- C. in front of the house
- D. on the south side of the house
Explanation: After all the switches were made, hamza is in front of the house. Maira is in the alley behind the house, Ahmed is on the north side, and…
Correct answer: in front of the house- A. Herb
- B. Flower
- C. Tree
- D. Shrub
Explanation: All options except 'flower' are different varieties of plants, while 'flower' grows on plants. Hence, 'flower' is the odd one out.
Correct answer: Flower- A. Guard
- B. Lock
- C. Conserve
- D. Humble
Explanation: Save , secure and protect are somewhat synonymously related to each other. So , by following the same pattern , next word would be guard .
Correct answer: Guard- A. Zara
- B. Mohib
- C. Kiran
- D. Minal
Explanation: If "Zara" is two months older than "Mohib", then "Kiran" is three months older than "Mohib" and one month older than "Zara".
Correct answer: Kiran