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Coded Inequalities – MBA CET questions with solutions

3 questions · CET 2025–2026 · Easy 2 · Medium 1 · Hard 0. Newest paper first. Full papers

Q54MediumCET 2026 · Slot 3 · Q54

Study the Statement and Conclusion given below carefully and select the most appropriate option :

Statement

A ≤ B < C;
A ≥ D;
C ≤ F

Conclusions

I. D < C
II. F ≥ D

  1. Only Conclusion I is true
  2. Only Conclusion II is true
  3. Either of Conclusions I or II is true
  4. Neither Conclusion I nor II is true
  5. Both Conclusions I and II are true
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Official CET key: A · Cetking's answer: D — see why below

Approach: Direct inequality chain; combine the statements through the common elements.

Solution:
Statements: A ≤ B < C, A ≥ D, C ≤ F.
Conclusion I (D < C): D ≤ A ≤ B < C ⇒ D < C. True.
Conclusion II (F ≥ D): F ≥ C > B ≥ A ≥ D ⇒ F > D strictly (the '<' between B and C makes it strict).
As per the exam convention, a '≥' conclusion follows only when equality is possible; here F can never equal D, so II is treated as not following.
Hence only Conclusion I is true.

Why the other options are wrong:
B: II is not accepted (only F > D is established) and I is true. C: 'either' needs a complementary pair — not the case here. D: I clearly follows. E: II does not follow under the convention.

Cetking shortcut: When a strict sign (< or >) sits anywhere in the chain, the result is strict — a '≥ / ≤' conclusion then fails under the CET/bank convention.

Answer: A

Q27EasyCET 2026 · Slot 2 · Q27

In these question, relationship between different elements is shown in the statements. Some statements are followed by some conclusions. Choose the correct answer on the basis of information given below.

Statements:

I: H ≥ V = O > R

II: X ≤ D > Y > R

III: Y > N = L < Z

Conclusions:

I. O < D

II. R > N

  1. Neither conclusion I nor II follows.
  2. Only conclusion I follows.
  3. Both conclusions I and II follow.
  4. Only conclusion II follows.
  5. Either conclusion I or II follows.
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Answer: A official key

Approach: Coded/direct inequalities: a conclusion follows only through a chain with no opposite signs.

Solution:
Combine: H ≥ V = O > R < Y < D ≥ X and Y > N = L < Z.
I. O < D: O > R and R < Y < D – the signs change direction at R, so O and D cannot be compared → does not follow.
II. R > N: R < Y and Y > N – opposite signs at Y, so R and N cannot be compared → does not follow.
Neither conclusion follows.

Why the other options are wrong:

  • B / C – conclusion I is not established.
  • D – conclusion II is not established.
  • E – 'either–or' needs a complementary pair on the same two elements; I and II involve different pairs.

Cetking shortcut: Look at the common link: if the arrows point away from or towards it from both sides (O > R < D, R < Y > N), no relation can be drawn.

Answer: A

Q61EasyCET 2025 · Slot 1 · Q61

In a certain code language, '^' means 'is less than', '#' means 'is greater than' and '*' means 'is equal to' and given that a^b, c*d, and c#b , then which of the following is most definitely true ?

Figure for MBA CET 2025 Slot 1 question 61
  1. a^b^c
  2. a#b#c
  3. d^a
  4. a*c
  5. b#d
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Answer: A

Approach: Decode the symbols, then chain the inequalities.

Solution:
^ = '<', # = '>', * = '='.
a^b → a < b; c*d → c = d; c#b → c > b.
Chain: a < b < c = d.
a^b^c means a < b < c → definitely true.

Why the other options are wrong:
B (a#b#c = a > b > c): reverse of the chain.
C (d^a = d < a): actually d > a.
D (a*c = a = c): a < c.
E (b#d = b > d): actually b < d.

Cetking shortcut: Write the full chain once (a < b < c = d) and test each option against it.

Answer: A

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