Mental Reasoning 7- Inequality Practice Questions and Step-by-Step Solutions for Competitive Exams SSC, BSSC, Bank, Railways. Here is “Inequality Practice Questions – covering all question types, from Basic → Moderate → High Level, as appear in SSC, Banking, Railways, NDA, CDS, and BPSC exams.
Inequality Practice Questions
Type 1: Basic Direct Inequality (Easy Level)
Q1.
Statement: A > B, B > C
Conclusion: A > C
✅ Answer: True
Explanation: A > B > C → same direction chain → A > C
Hindi: A > B > C → A बड़ा है C से → सही निष्कर्ष
Q2.
Statement: X < Y, Y < Z
Conclusion: X < Z
✅ Answer: True
Hindi: X छोटा है Y से, Y छोटा है Z से → X छोटा है Z से → सही
Q3.
Statement: P > Q, Q = R
Conclusion: P > R
✅ Answer: True
Hindi: समानता के बाद दिशा नहीं बदलती → P > R
Q4.
Statement: D = E, E < F
Conclusion: D < F
✅ Answer: True
Q5.
Statement: A < B, C < B
Conclusion: A ? C
❌ Answer: Can’t be determined (No relation between A and C)
Type 2: Mixed Direction Inequality (Moderate Level)
Q6.
Statement: A > B, C > B
Conclusion: A ? C
❌ Answer: Cannot be determined
Q7.
Statement: M > N < O
Conclusion: M ? O
❌ Answer: Indeterminate
Q8.
Statement: R ≥ S < T
Conclusion: R ? T
❌ Answer: Can’t be compared
Q9.
Statement: P ≥ Q = R
Conclusion: P ≥ R
✅ Answer: True
Q10.
Statement: A = B ≥ C
Conclusion: A ≥ C
✅ Answer: True
Type 3: Multi-Statement Chain (Moderate Level)
Q11.
Statement: A ≥ B, B = C, C < D
Conclusion: A ? D
❌ Answer: Can’t be compared (direction changes at C < D)
Q12.
Statement: P ≥ Q, Q ≥ R, R ≥ S
Conclusion: P ≥ S
✅ Answer: True
Q13.
Statement: X = Y, Y > Z, Z ≥ W
Conclusion: X > W
✅ Answer: True
Q14.
Statement: J > K ≥ L = M
Conclusion: J > M
✅ Answer: True
Q15.
Statement: D ≥ E = F < G
Conclusion: D ? G
❌ Answer: Cannot be compared
Type 4: Multiple Conclusions (Either/Neither/Both)
Q16.
Statement: A > B = C
Conclusions:
(I) A > C
(II) C < A
✅ Answer: Either I or II follows
Explanation: Both say same thing in opposite forms → Either valid.
Hindi: दोनों निष्कर्ष समान अर्थ के हैं → Either सही।
Q17.
Statement: P ≥ Q > R
Conclusions:
(I) P > R
(II) R < P
✅ Answer: Both follow
Q18.
Statement: X ≤ Y ≤ Z
Conclusions:
(I) X ≤ Z
(II) Z ≥ X
✅ Answer: Both follow
Q19.
Statement: A < B > C
Conclusions:
(I) A < C
(II) C < A
❌ Answer: Neither follows
Q20.
Statement: M = N > O
Conclusions:
(I) M > O
(II) O < M
✅ Answer: Both follow
Type 5: Coded Inequality (High-Level)
Symbol meanings:
@ → greater than (>)
→ equal (=)
$ → less than (<)
% → greater than or equal (≥)
& → less than or equal (≤)
Q21.
Statement: A @ B $ C
Conclusion: A ? C
Meaning: A > B < C → ❌ Cannot be compared
Q22.
Statement: P % Q # R
Conclusion: P ≥ R
✅ Answer: True
Meaning: P ≥ Q = R → P ≥ R
Q23.
Statement: X $ Y % Z
Conclusion: X < Z
✅ Answer: True
Meaning: X < Y ≥ Z → X < Z
Q24.
Statement: K @ L # M $ N
Conclusion: K ? N
Meaning: K > L = M < N → ❌ Cannot be compared
Q25.
Statement: R % S & T
Conclusion: R ≥ T
Meaning: R ≥ S ≤ T → ❌ No relation → Cannot be compared
Type 6: Reverse Inequality (Advanced Logical Test)
Q26.
Statement: A ≥ B ≥ C ≥ D
Conclusion: D ≤ A
✅ Answer: True
Q27.
Statement: P ≤ Q = R ≤ S
Conclusion: S ≥ P
✅ Answer: True
Q28.
Statement: M > N ≥ O = P
Conclusion: M > P
✅ Answer: True
Q29.
Statement: A < B ≤ C < D
Conclusion: A < D
✅ Answer: True
Q30.
Statement: W = X > Y < Z
Conclusion: W ? Z
❌ Answer: Cannot be determined
For Quick Revision
| Type | Description | Example | Result |
| Type 1 | Direct Relation | A > B > C | Definite |
| Type 2 | Opposite Direction | A > B < C | No Relation |
| Type 3 | Multi Statement | P ≥ Q = R > S | Combine Carefully |
| Type 4 | Multiple Conclusions | A > B = C | Either/Both/Neither |
| Type 5 | Symbol Coding | A @ B $ C | Decode first |
| Type 6 | Reverse Chain | A ≥ B ≥ C | Flip correctly |
Quick Tricks (Exam Ready):
- Combine only same-direction symbols.
- Ignore middle letters once connected.
- Check sign reversal while reversing statements.
- Don’t assume relation unless clearly shown.
- Complementary conclusions → Either follows.
Hindi Shortcuts:
- समान दिशा वाले प्रतीक मिलाएं।
- बीच वाले अक्षर छोड़ें।
- उल्टे क्रम में प्रतीक भी उल्टा करें।
- विपरीत दिशा → कोई निश्चित निष्कर्ष नहीं।