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### Question 1

In a certain language different symbols represent different operators as follows.

- ∧ means X = Y
- $ means X ≯ (not more than) Y
- ⊗ means X ≮ (not less than) Y
- © means X < Y
- % means X > Y

**Statements: **F © G; G ∧ H; H ∧ I;

**Conclusions: **

- F © I
- G ∧ I

**A**

both I and II are true.

**B**

only conclusion II is true.

**C**

only conclusion I is true.

**D**

either I or II can be true.

**Soln.**

**Ans: a**

The statements can be translated to F < G = H = I. Conclusion I translates to F < I. Conclusion II translates to G = I. So we can see that both I and II are true.

Please remember that in such questions ≯ (not more than) is same as ≤, and ≮ (not less than) is same as ≥.

### Question 2

In a certain language different symbols represent different operators as follows.

- ¢ means X = Y
- « means X ≤ Y
- ∀ means X ≥ Y
- λ means X < Y
- © means X > Y

**Statements: **R © S; S © T; T © U; U λ V;

**Conclusions: **

- R © U
- S © U
- V λ R

Which of the above conclusions is/are true?

### Question 3

In a certain language different symbols represent different operators as follows.

- Θ means X = Y
- Ω means X ≯ (not more than) Y
- $ means X ≮ (not less than) Y
- « means X < Y
- η means X > Y

**Statements: **F Θ G; G « H; H η I;

**Conclusions: **

- F Θ I
- H η F

**A**

both I and II are true.

**B**

only conclusion II is true.

**C**

only conclusion I is true.

**D**

either I or II can be true.

**Soln.**

**Ans: b**

The statements can be translated to F = G < H > I. Conclusion I translates to F = I. Conclusion II translates to H > F. So we can see that only conclusion II is true.

Please remember that in such questions ≯ (not more than) is same as ≤, and ≮ (not less than) is same as ≥.

### Question 4

In a certain language different symbols represent different operators as follows.

- λ means X = Y
- ∅ means X ≤ Y
- ∂ means X ≥ Y
- Ξ means X < Y
- ⊕ means X > Y

**Statements: **L ⊕ M; M λ N; N λ O; O ⊕ P;

**Conclusions: **

- N Ξ P
- O Ξ L
- O Ξ M

Which of the above conclusions is/are true?

### Question 5

In a certain language different symbols represent different operators as follows.

- Γ means X = Y
- ∀ means X ≤ Y
- Ω means X ≥ Y
- © means X < Y
- ∇ means X > Y

**Statements: **R ∇ S; S © T; T © U; U Γ V;

**Conclusions: **

- T Γ V
- R © U
- T © R

Which of the above conclusions is/are true?

This Blog Post/Article "Inequalities Quiz Set 033" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2019-08-18.