Question 1

1. Determine which of the conclusions logically follow from the given statements.

A) Only conclusion I followsB) Only conclusion II followsC) Either I or II followsD) Neither I nor II follows

Answer

✓ Correct Answer: Option B

Explanation: Solution: Let NN = Neural Networks, S = Synapses, and N = Neurons. 1. "Only a few NN are S" means:    - Some NN are S.    - Some NN are NOT S. 2. "No S is N" means there is no overlap between S and N. Conclusions Check: I. "All Neural Networks can be Synapses" - False. Because "Only a few" implies some NN are definitely NOT S. II. "Some Neural Networks are not Neurons" - True. The part of NN that is S can never be N (since no S is N). Therefore, only II follows.

Question 2

2. Analyze the logical consistency of the following conclusions.

Question 3

3. Evaluate the following syllogism based on ancient artifacts.

A) Only conclusion I followsB) Only conclusion II followsC) Both conclusion I and II followD) Neither I nor II follows

Answer

✓ Correct Answer: Option C

Explanation: Solution: 1. All $M \subset S$ 2. $S \cap P \neq \emptyset$ 3. $P \cap D = \emptyset$ Conclusions Check: I. "All Scrolls can never be Digital" - True. Since some Scrolls are Papyrus and no Papyrus is Digital, that specific portion of Scrolls can never be Digital. II. "Some Manuscripts being Digital is a possibility" - True. There is no direct or indirect restriction preventing M from overlapping with D. Both follow.

Question 4

4. Evaluate the security logic.

A) Only conclusion I followsB) Only conclusion II followsC) Both followD) Neither follows

Answer

✓ Correct Answer: Option B

Explanation: Solution: 1. "Only a few F are E" (Some F are E and Some F are not E); "All F being E" is impossible. 2. "Only a few E are D" (Some E are D and Some E are not D). 3. No D is V. Conclusions Check: I. "All Firewalls can be Encryptions" - False (Violates "Only a few"). II. "Some Encryptions can be Viruses" - True. While no D is V, there is no restriction on the part of E that is NOT D being V. Only II follows.

Question 5

5. Astronomical Reasoning.

A) Only conclusion I followsB) Only conclusion II followsC) Both conclusion I and II followD) Neither follows

Answer

✓ Correct Answer: Option C

Explanation: Solution: 1. 70% N are S is equivalent to "Some N are S". 2. All S are P. 3. "Only a few P are BH". Conclusions Check: I. "Some Nebulas are Pulsars" - True. Since some N are S and all S are P, the intersection is guaranteed. II. "All Pulsars being Nebulas is a possibility" - True. There's no "Only a few" restriction between P and N that prevents P from being entirely inside N. Both follow.

Question 6

6. Physics Logic.

A) Both conclusion I and II followB) Only conclusion II followsC) Only conclusion I followsD) Neither follows

Answer

✓ Correct Answer: Option A

Explanation: Solution: 1. $P \subset A$ 2. $A \subset M$ 3. $M \cap Q = \emptyset$ Conclusions Check: I. "Some Quarks are not Protons" - True. Since no M is Q, and P is inside M, then no P is Q. If no P is Q, then all Q are not P. II. "No Proton is a Quark" - True. As $P \subset M$ and M has no overlap with Q. Both follow.

Question 7

7. Agricultural Logic.

A) Only conclusion I followsB) Only conclusion II followsC) Either I or II followsD) Neither follows

Answer

✓ Correct Answer: Option B

Explanation: Solution: 1. "Only a few G are C" (Some G are C, Some G are not C). 2. $C \cap L = \emptyset$. 3. $L \cap P \neq \emptyset$. Conclusions Check: I. "All Grains can be Cereals" - False (Due to "Only a few"). II. "Some Pulses are not Cereals" - True. The part of P that is L can never be C because no C is L. Only II follows.

Question 8

8. Geology Logic (Either-Or possibility check).

A) Only conclusion I followsB) Only conclusion II followsC) Either I or II followsD) Both follow

Answer

✓ Correct Answer: Option B

Explanation: Solution: 1. $M \cap L \neq \emptyset$. 2. $L \cap B = \emptyset$. Conclusions Check: I. "All Magma can be Basalt" - False. The part of M that is L can never be B. II. "Some Magma are not Basalt" - True. The part of M that is L is definitely not B. Only II follows.

Question 9

9. Atmospheric Logic.

A) Only conclusion I followsB) Only conclusion II followsC) Both followD) Neither follows

Answer

✓ Correct Answer: Option D

Explanation: Solution: 1. "Only O is B" means All B are O, and B cannot be anything else (specifically, B cannot be Oz). 2. Some O are Oz. Conclusions Check: I. "All Ozone being Breathable is a possibility" - False. If all Oz were B, then B would be something other than just O. The exclusivity rule of "Only" prohibits this. II. "Some Breathable can be Ozone" - False. B is exclusively O. It cannot overlap with any other separate category like Oz. Neither follows.

Question 10

10. Mathematical Logic.

A) Only conclusion I followsB) Only conclusion II followsC) Both followD) Neither follows

Answer

✓ Correct Answer: Option A

Explanation: Solution: 1. $V \subset T$ 2. $T \cap S = \emptyset$ 3. "Only a few S are M" 4. $M \cap C \neq \emptyset$ Conclusions Check: I. "No Vector is a Scalar" - True. Since V is entirely inside T and T has no overlap with S. II. "All Matrices can be Tensors" - False. Some M are S (from "Only a few S are M"). Since no S is T, that part of M which is S can never be T. Only I follows.

Accepted Answer

✓ Correct Answer: Option B

Explanation: Solution: 1. "Only Quantum Bits (QB) are Superpositions (S)" is equivalent to "All S are QB" AND "S cannot belong to any other category except QB". 2. "Some QB are not Entanglements (E)" allows for QB to partially overlap with E. Conclusions Check: I. "Some Superpositions are Entanglements" - False. Because of the "Only" condition, S can only be QB and nothing else. II. "No Entanglement is a Superposition" - True. Following the same logic, since S is exclusively QB, it cannot be E. Therefore, only II follows.

Competitive Exams : Reasoning Ability - Syllogism (Set 1)

1. Determine which of the conclusions logically follow from the given statements.

2. Analyze the logical consistency of the following conclusions.

3. Evaluate the following syllogism based on ancient artifacts.

4. Evaluate the security logic.

5. Astronomical Reasoning.

6. Physics Logic.

7. Agricultural Logic.

8. Geology Logic (Either-Or possibility check).

9. Atmospheric Logic.

10. Mathematical Logic.