1. In a code, FISH is written as DGQF. How is BIRD written in that code?
- YFOA
- ZGPB
- AHQC
- DKTF
Answer: B) ZGPB
Explanation: Each letter moves 2 places backward in the alphabet: BIRD → ZGPB.
MCQs / Quantitative Reasoning / Logical Reasoning
Logical Reasoning MCQs — Quantitative Reasoning
50 multiple-choice questions on Logical Reasoning from Quantitative Reasoning, each with the correct answer and, where available, a teacher's explanation. Read through them to revise the chapter, then practise the same questions one by one to test yourself.
2. Statements: All cats are animals. All animals are living things. Conclusion: All cats are living things. Is the conclusion:
- Definitely true
- Possibly true
- Cannot be decided
- Definitely false
Answer: A) Definitely true
Explanation: Cats ⊂ animals ⊂ living things, so every cat is a living thing.
3. Five friends sit in a row. Ali is to the left of Bilal, Bilal is to the left of Usman, and Usman is to the left of Hamza. Danish is to the right of Hamza. Who sits in the middle?
- Ali
- Hamza
- Usman
- Bilal
Answer: C) Usman
Explanation: Order from left: Ali, Bilal, Usman, Hamza, Danish — Usman is third.
4. Ahmed walks 5 km south, then 12 km west. How far is he from his starting point, and in which direction?
- 13 km North-East
- 14 km South-West
- 13 km South-West
- 17 km South-West
Answer: C) 13 km South-West
Explanation: Net east–west: -12 km, net north–south: -5 km. Distance = -12^2 + -5^2 = 13 km, towards the South-West.
5. Ahmed walks 6 km east, then 8 km north. How far is he from his starting point, and in which direction?
- 10 km North-East
- 14 km North-East
- 10 km South-West
- 11 km North-East
Answer: A) 10 km North-East
Explanation: Net east–west: 6 km, net north–south: 8 km. Distance = 6^2 + 8^2 = 10 km, towards the North-East.
6. If all Bloops are Razzies and all Razzies are Lazzies, then all Bloops are definitely:
- Not Lazzies
- Neither
- Only Razzies
- Lazzies
Answer: D) Lazzies
Explanation: Bloops ⊂ Razzies ⊂ Lazzies.
7. Ahmed walks 10 km north, then 5 km east, then 10 km south. How far is he from his starting point, and in which direction?
- 5 km West
- 6 km East
- 5 km East
- 25 km East
Answer: C) 5 km East
Explanation: Net east–west: 5 km, net north–south: 0 km. Distance = 5^2 + 0^2 = 5 km, towards the East.
8. What is the smaller angle between the hour and minute hands at 6:15?
- 262.5°
- 102.5°
- 97.5°
- 90°
Answer: C) 97.5°
Explanation: Angle = 30H - 5.5M = 30 6 - 5.5 15 = 97.5°.
9. In a code, RAIN is written as QZHM. How is CLOUD written in that code?
- AJMSB
- CTNKB
- BKNTC
- DMPVE
Answer: C) BKNTC
Explanation: Each letter moves 1 place backward in the alphabet: CLOUD → BKNTC.
10. In a code, PEN is written as TIR. How is INK written in that code?
- LQN
- MRO
- NSP
- EJG
Answer: B) MRO
Explanation: Each letter moves 4 places forward in the alphabet: INK → MRO.
11. If today is Sunday, what day of the week will it be after 45 days?
- Thursday
- Tuesday
- Friday
- Wednesday
Answer: D) Wednesday
Explanation: 45 = 7 6 + 3. Whole weeks don't change the day, so count 3 days on from Sunday: Wednesday.
12. Statements: Some doctors are teachers. All teachers are graduates. Which conclusion follows?
- Some doctors are graduates
- No doctor is a graduate
- All doctors are graduates
- All graduates are doctors
Answer: A) Some doctors are graduates
Explanation: The doctors who are teachers are also graduates, so some doctors are graduates.
13. In a row of students, Bilal is 1st from the front and 30th from the back. How many students are in the row?
- 30
- 32
- 29
- 31
Answer: A) 30
Explanation: Total = 1 + 30 - 1 = 30 (Bilal is counted twice).
14. A's father is B's son. How is B related to A?
- Uncle
- Grandfather
- Brother
- Father
Answer: B) Grandfather
Explanation: B's son is A's father, so B is A's grandfather.
15. Ahmed walks 7 km west, then 3 km north, then 4 km east, then 7 km south. How far is he from his starting point, and in which direction?
- 5 km North-East
- 7 km South-West
- 21 km South-West
- 5 km South-West
Answer: D) 5 km South-West
Explanation: Net east–west: -3 km, net north–south: -4 km. Distance = -3^2 + -4^2 = 5 km, towards the South-West.
16. In a code, CAT is written as DBU. How is DOG written in that code?
- CNF
- EPH
- GRJ
- FQI
Answer: B) EPH
Explanation: Each letter moves 1 place forward in the alphabet: DOG → EPH.
17. Statements: No fish is a bird. All parrots are birds. Which conclusion follows?
- No parrot is a fish
- Some fish are parrots
- Some parrots are fish
- All birds are parrots
Answer: A) No parrot is a fish
Explanation: Every parrot is a bird and no bird is a fish, so no parrot is a fish.
18. In the English alphabet, which letter is 5th to the right of the 10th letter from the left?
- N
- O
- E
- P
Answer: B) O
Explanation: The 10th letter from the left is J; moving 5 to the right gives O.
19. If LOVE is coded as OLEV, then HATE is coded as:
- SZGV
- IBUF
- VGZS
- TAHW
Answer: A) SZGV
Explanation: Each letter is replaced by its mirror in the alphabet (A↔Z, B↔Y, C↔X…). So HATE → SZGV.
20. If today is Tuesday, what day of the week will it be after 30 days?
- Thursday
- Wednesday
- Saturday
- Friday
Answer: A) Thursday
Explanation: 30 = 7 4 + 2. Whole weeks don't change the day, so count 2 days on from Tuesday: Thursday.
21. If GOLD is coded as TLOW, then IRON is coded as:
- MLIR
- SJMN
- JSPO
- RILM
Answer: D) RILM
Explanation: Each letter is replaced by its mirror in the alphabet (A↔Z, B↔Y, C↔X…). So IRON → RILM.
22. What is the smaller angle between the hour and minute hands at 3:30?
- 75°
- 90°
- 80°
- 285°
Answer: A) 75°
Explanation: Angle = 30H - 5.5M = 30 3 - 5.5 30 = 75°.
23. Introducing a woman, Imran says, “Her mother is the only daughter of my mother.” How is Imran related to the woman?
- Maternal uncle
- Father
- Brother
- Cousin
Answer: A) Maternal uncle
Explanation: The only daughter of Imran's mother is Imran's sister; the woman is his sister's daughter, so he is her maternal uncle.
24. What is the smaller angle between the hour and minute hands at 3:00?
- 270°
- 105°
- 90°
- 95°
Answer: C) 90°
Explanation: Angle = 30H - 5.5M = 30 3 - 5.5 0 = 90°.
25. If today is Monday, what day of the week will it be after 61 days?
- Friday
- Sunday
- Monday
- Saturday
Answer: D) Saturday
Explanation: 61 = 7 8 + 5. Whole weeks don't change the day, so count 5 days on from Monday: Saturday.
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Practise Logical Reasoning MCQs