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### Question 1

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

- ∧ means X = Y
- « means X ≤ Y
- ¥ means X ≥ Y
- £ means X < Y
- § means X > Y

**Statements: **R £ S; S ∧ T; T ∧ U; U ∧ V;

**Conclusions: **

- R £ V
- R § T
- S ∧ V

Which of the above conclusions is/are true?

### Question 2

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

- © means X = Y
- ∃ means X ≯ (not more than) Y
- Ξ means X ≮ (not less than) Y
- ρ means X < Y
- Θ means X > Y

**Statements: **Q Θ R; R © S; S ∃ T;

**Conclusions: **

- Q ρ T
- S Θ Q

**A**

both I and II are true.

**B**

only conclusion II is true.

**C**

only conclusion I is true.

**D**

neither I nor II is true.

**Soln.**

**Ans: d**

The statements can be translated to Q > R = S ≤ T. Conclusion I translates to Q < T. Conclusion II translates to S > Q. So we can see that neither I nor II is true.

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

### Question 3

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

- Δ means X = Y
- ® means X ≤ Y
- © means X ≮ (not less than) Y
- ∂ means X < Y
- « means X > Y

**Statements: **B Δ C; C Δ D; D « E;

**Conclusions: **

- B Δ E
- C « E

**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 B = C = D > E. Conclusion I translates to B = E. Conclusion II translates to C > E. 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
- $ means X < Y
- Ξ means X > Y

**Statements: **B λ C; C $ D; D $ E;

**Conclusions: **

- B $ D
- C Ξ E

**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: c**

The statements can be translated to B = C < D < E. Conclusion I translates to B < D. Conclusion II translates to C > E. So we can see that only conclusion I is true.

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

### Question 5

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

- Γ means X = Y
- ∧ means X ≤ Y
- λ means X ≥ Y
- § means X < Y
- ∃ means X > Y

**Statements: **D § E; E Γ F; F § G; G § H;

**Conclusions: **

- E § G
- D § H
- F § D

Which of the above conclusions is/are true?

This Blog Post/Article "Inequalities Quiz Set 009" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2020-02-07. Published on: 2016-04-13