Logical Deduction problems
- 1. The principle in the school, when the teachers are in the class.
(i) Principle is in the school.
(ii) Principle is in town.
(iii) Teachers are in class.
(iv) Teachers are in the playground.
Options- A. (iii) (i)
- B. (i) (iii)
- C. (ii) (iv)
- D. (iv) (ii) Discuss
Correct Answer: (iii) (i)
Explanation:
The statement is of the type 'when A then B, when not B then not A' where A is 'the teachers are in class' and B is 'principal is in the school'.
- 2. Ram neither reads nor does he study.
(i) Ram reads.
(ii) Ram does not read.
(iii) Ram studies.
(iv) Ram does not study.
Options- A. (i) (iii)
- B. (iii) (i)
- C. (iii) (iv)
- D. (ii) (iv) Discuss
Correct Answer: (ii) (iv)
Explanation:
The statement is of the type 'neither A nor B'.
- 3. Only when it is not quite, Reshma studies.
(i) It is quiet.
(ii) It is not quiet
(iii) Reshma studies.
(iv) Reshma does not study.
Options- A. (ii) (iii)
- B. (ii) (iv)
- C. (i) (iii)
- D. (iii) (i) Discuss
Correct Answer: (ii) (iv)
Explanation:
The statement has the logical connective 'only' and the statement does not imply that Reshma will study whenever it is not quiet.
- 4. Only the toppers in Class 12 get admitted to IITs.
(i) Sid got admission in IIT.
(ii) Sid is a topper in Class 12.
(iii) Sid did not get admission in IIT.
(iv) Sid did not top in anything.
Options- A. (iii) (iv)
- B. (i) (ii)
- C. (ii) (i)
- D. (iv) (iii) Discuss
Correct Answer: (i) (ii)
Explanation:
The statement has the connective and it does not imply that all toppers will get admitted.
- 5. Arya takes fries only one only if she gets it free with a cheese burger.
(i) Arya got a burger .
(ii) Arya had fries.
(iii) Arya got a cheese burger.
(iv) Arya did not have fries.
Options- A. (iii) (ii)
- B. (ii) (iii)
- C. (i) (ii)
- D. Both (a) and (b) Discuss
Correct Answer: Both (a) and (b)
Explanation:
The statement has the logical connective 'only and only' and this implies that when A then B and when B then A.
- 6. Arjun falls asleep only if it is a soft bed.
(i) Arjun fell asleep.
(ii) Arjun remains awake.
(iii) it was a soft bed .
(iv) it was hard bed.
Options- A. (ii) (iv)
- B. (ii) (iii)
- C. (iii) (ii)
- D. (i) (ii) Discuss
Correct Answer: (ii) (iv)
Explanation:
The statement has the logical connective 'only' and it does not imply that Arjun will fall asleep every time there is a soft bed.
- 7. Only those living in Tilli are unfriendly.
(i) Rohan lives in Tilli.
(ii) Rohan lives in Rampur.
(iii) Rohan is unfriendly
(iv) Rohan may be unfriendly.
Options- A. (i) (iii)
- B. (ii) (iv)
- C. (iii) (i)
- D. None Discuss
Correct Answer: (iii) (i)
Explanation:
The statement has the logical connective 'only' and it does not imply that all those living in Tilli are unfriendly.
- 8. Those visiting the Taj Mahal are either tourists or historians.
(i) Siya is historian or a tourist.
(ii) Riya is a tourist.
(iii) Siya is visiting the Taj Mahal
(iv) Riya is visiting the Taj Mahal
Options- A. (iv) (ii)
- B. (i) (iii)
- C. (iii) (i)
- D. Both (i) and (iii) Discuss
Correct Answer: (iii) (i)
Explanation:
The statement is a simple 'either A or B'.
- 9. When Anu comes first and Tanu comes second, Nikki and Sona cannot be selected in that order.
(i) Anu and Tanu came first.
(ii) Anu came first and Tanu came second
(iii) Nikki and Sona got selected in that order.
(iv) Sona and Nikki got selected in tht order.
Options- A. (i) (iv)
- B. (ii) (iii)
- C. (ii) (iv)
- D. (iv) (i) Discuss
Correct Answer: (ii) (iv)
Explanation:
The statement is of the type 'when A then B, when not B then not A' where A is 'Anu comes first and Tanu second' and B is 'Nikki and Sona cannot be selected in that order'.
- 10. Only students or teacher visit the library.
(i) Rajesh is in the library.
(ii) Shiva is in the library.
(iii) Rajesh is a student.
(iv) Shiva may be a teacher.
Options- A. (i) (iii)
- B. (iii) (i)
- C. (ii) (iv)
- D. None Discuss
Correct Answer: (ii) (iv)
Explanation:
The statement has the logical connective 'only' and this does not imply that all students or teacher will visit the library.
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