Answer: A) True

Solution:

1. All Mumbai-Pune trains = Express trains (Universal statement)
2. Deccan Queen ∈ Mumbai-Pune trains (Given)
3. Therefore, Deccan Queen = Express train (Direct conclusion)

Shortcut: “All A are B, X is A → X is B” (Always true)

Concept: Statement Conclusions - Direct conclusion from universal statement

Answer: A) True

Solution:

1. No local train → Platform 3 (Negative universal)
2. Train A → Platform 3 (Given)
3. If Train A were local, it wouldn’t stop at platform 3
4. Since it stops there, it cannot be local

Shortcut: “No A is B, X is B → X is not A” (Always true)

Concept: Statement Conclusions - Negative statement conclusion

Answer: C) Cannot say

Solution:

1. “Some” = at least one, not necessarily all
2. August Kranti might be among the “some” or might not be
3. No definite conclusion possible

Shortcut: “Some A are B, X is A → No definite conclusion about X”

Concept: Statement Conclusions - Particular statement limitation

Answer: A) Only I

Solution:

1. Karnataka Express → Mail train → Long-distance (Conclusion I: True)
2. Some long-distance trains have sleeper coaches (Not all)
3. Karnataka Express might or might not have sleeper coaches
4. Conclusion II: Cannot say

Shortcut: Chain rule works for definite conclusions only

Concept: Statement Conclusions - Chain rule with particular statements

Answer: A) True

Solution:

1. “Every” = Universal affirmative
2. Given: Kerala Express passes through but doesn’t stop
3. This directly contradicts the universal statement
4. Therefore, the statement is false/self-contradictory

Shortcut: Universal statements are falsified by a single counterexample

Concept: Statement Conclusions - Contradiction detection

Answer: C) 24% probability

Solution:

1. P(Express) = 0.4, P(Delhi|Express) = 0.6
2. P(Express AND Delhi) = 0.4 × 0.6 = 0.24 = 24%
3. We don’t know if Train X is express or not
4. Maximum probability = 24%

Shortcut: Multiply probabilities for “AND” conditions

Concept: Statement Conclusions - Probability with percentages

Answer: A) True

Solution:

1. Chennai Express has connecting buses
2. No train arriving after midnight has connecting buses
3. Therefore, Chennai Express doesn’t arrive after midnight
4. Some trains from Chennai arrive after midnight
5. Since Chennai Express doesn’t arrive after midnight, it’s not among those
6. But we cannot confirm it’s not from Chennai at all

Shortcut: Use contrapositive: If B then not A

Concept: Statement Conclusions - Complex logical chains

Answer: A) True

Solution:

1. AC coaches → Premium train
2. Premium train → No unreserved coaches
3. Therefore: AC coaches → No unreserved coaches
4. Gorakhpur Express: AC AND unreserved coaches (Contradiction)
5. This combination cannot exist given the statements

Shortcut: If A→B and B→C, then A→C; check for contradictions

Concept: Statement Conclusions - Logical consistency

Answer: C) Cannot say

Solution:

1. “Most” = >50% but not all
2. Some superfast trains might take >24 hours
3. Himsagar Express taking 72 hours doesn’t prove it’s not superfast
4. It might be among the minority of superfast trains taking longer

Shortcut: “Most” conclusions don’t apply to all cases

Concept: Statement Conclusions - Quantifier “most” vs “all”

Answer: C) Both I & II

Solution:

1. Crosses Ghats → Has banker engine (Mumbai-Pune passenger crosses Ghats)
2. Therefore: Has banker engine (Conclusion II: True)
3. Goods train → No passengers (Contrapositive: Passengers → Not goods)
4. Mumbai-Pune passenger carries passengers
5. Therefore: Not goods train (Conclusion I: True)

Shortcut: Use contrapositive for negative statements

Concept: Statement Conclusions - Multiple logical chains

Answer: A) Only I

Solution:

1. Mumbai local → Electric → Environment-friendly (I: True)
2. “Some” environment-friendly trains run on solar power
3. Mumbai local might or might not be among the “some”
4. No definite conclusion about solar power (II: Cannot say)

Exam Tip: Be careful with “some” - it doesn’t mean “all”

Answer: The statement about August Kranti must be false

Solution:

1. Universal negative: No Rajdhani stops at every station
2. August Kranti is claimed to be Rajdhani AND stops at every station
3. This directly contradicts the universal statement
4. Therefore, the claim must be false

Exam Tip: Universal statements are absolute - one counterexample proves them false

Answer: 6%

Solution:

1. P(Passenger) = 30% = 0.3
2. P(North|Passenger) = 20% = 0.2
3. P(Passenger AND North) = 0.3 × 0.2 = 0.06 = 6%

Exam Tip: For “A AND B” probabilities, multiply individual probabilities

Answer: A) Only I

Solution:

1. GPS tracking → Modern train (Tejas has GPS → Modern: I is true)
2. Some modern trains have WiFi (Not all)
3. Tejas might or might not have WiFi
4. No definite conclusion about WiFi

Exam Tip: “Some” creates possibility, not certainty

Answer: True

Solution:

1. Maximum capacity = 20 × 72 = 1440 passengers
2. Actual passengers = 1500
3. 1500 > 1440, therefore overloaded
4. Overload = 1500 - 1440 = 60 passengers

Exam Tip: Always calculate the maximum/minimum limits first