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Wrong Answers: | |

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### Question 1

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

- Γ means X = Y
- η means X ≯ (not more than) Y
- © means X ≮ (not less than) Y
- √ means X < Y
- ∅ means X > Y

**Statements: **D η E; E Γ F; F η G;

**Conclusions: **

- D ∅ F
- G √ D

**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 D ≤ E = F ≤ G. Conclusion I translates to D > F. Conclusion II translates to G < D. 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 2

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

- Γ means X = Y
- ∇ means X ≤ Y
- % means X ≥ Y
- ∏ means X < Y
- ∂ means X > Y

**Statements: **B Γ C; C Γ D; D ∏ E; E Γ F;

**Conclusions: **

- F ∂ D
- B ∏ E
- B ∂ D

Which of the above conclusions is/are true?

### Question 3

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

- $ means X = Y
- Θ means X ≤ Y
- λ means X ≮ (not less than) Y
- Ω means X < Y
- ∀ means X > Y

**Statements: **R $ S; S Ω T; T λ U;

**Conclusions: **

- T $ U
- T ∀ U

**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: d**

The statements can be translated to R = S < T ≥ U. Conclusion I translates to T = U. Conclusion II translates to T > U. So we can see that either I or II can be 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.

- ≅ means X = Y
- Γ means X ≤ Y
- η means X ≥ Y
- ∇ means X < Y
- µ means X > Y

**Statements: **T µ U; U µ V; V Γ W;

**Conclusions: **

- T ∇ W
- V µ T

**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 T > U > V ≤ W. Conclusion I translates to T < W. Conclusion II translates to V > T. 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 5

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

- ∃ means X = Y
- ∅ means X ≤ Y
- Ω means X ≥ Y
- @ means X < Y
- ω means X > Y

**Statements: **B ω C; C @ D; D ω E; E ω F;

**Conclusions: **

- C @ F
- B ω D
- D @ F

Which of the above conclusions is/are true?

This Blog Post/Article "Inequalities Quiz Set 016" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2019-08-18.