Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

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

- ¥ means X = Y
- ∧ means X ≤ Y
- Ξ means X ≥ Y
- ∃ means X < Y
- ⊗ means X > Y

**Statements: **B ∃ C; C ∃ D; D ⊗ E; E ∃ F;

**Conclusions: **

- D ⊗ B
- E ⊗ C
- D ⊗ F

Which of the above conclusions is/are true?

### Question 2

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

- Ω means X = Y
- @ means X ≤ Y
- $ means X ≥ Y
- ∑ means X < Y
- ∀ means X > Y

**Statements: **T ∀ U; U Ω V; V Ω W; W Ω X;

**Conclusions: **

- T ∀ X
- U Ω X
- T ∀ V

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
- √ means X ≯ (not more than) Y
- @ means X ≥ Y
- ∧ means X < Y
- § means X > Y

**Statements: **Q ∧ R; R ∧ S; S @ T;

**Conclusions: **

- S § T
- S Θ T

**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 Q < R < S ≥ T. Conclusion I translates to S > T. Conclusion II translates to S = T. 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
- ≅ means X ≯ (not more than) Y
- $ means X ≥ Y
- ∅ means X < Y
- ∃ means X > Y

**Statements: **M ≅ N; N ∃ O; O ∃ P;

**Conclusions: **

- M √ P
- N ∃ P

**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 M ≤ N > O > P. Conclusion I translates to M = P. Conclusion II translates to N > P. 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 5

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

- ≅ means X = Y
- ∂ means X ≤ Y
- ® means X ≮ (not less than) Y
- ∃ means X < Y
- £ means X > Y

**Statements: **K £ L; L £ M; M ∃ N;

**Conclusions: **

- K ∃ M
- L £ N

**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 K > L > M < N. Conclusion I translates to K < M. Conclusion II translates to L > N. 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 ≥.

### More Chapters | See All...

Blood Relations | Statements and Assumptions | Matrix Test | Analogies | Essential Part | Venn Diagrams | Ratio and Proportion | Stocks and Shares | Partnerships | Course of Action | More...

This Blog Post/Article "Inequalities Quiz Set 007" 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