Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

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

- ∏ means X = Y
- λ means X ≤ Y
- ∂ means X ≥ Y
- Γ means X < Y
- ≅ means X > Y

**Statements: **R Γ S; S Γ T; T ∏ U; U ∏ V;

**Conclusions: **

- T ≅ V
- R Γ U
- R Γ 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 ≤ Y
- ∩ means X ≥ Y
- © means X < Y
- % means X > Y

**Statements: **J © K; K ∃ L; L ∇ M;

**Conclusions: **

- J % M
- K % M

**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 J < K = L ≤ M. Conclusion I translates to J > M. Conclusion II translates to K > M. 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.

- ∃ means X = Y
- ∩ means X ≤ Y
- Ω means X ≮ (not less than) Y
- ∇ means X < Y
- ρ means X > Y

**Statements: **Q Ω R; R ∇ S; S ρ T;

**Conclusions: **

- S ∃ T
- S ρ 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: b**

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 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.

- ∂ means X = Y
- ∅ means X ≤ Y
- § means X ≮ (not less than) Y
- ¥ means X < Y
- Ω means X > Y

**Statements: **S ∂ T; T ∂ U; U § V;

**Conclusions: **

- S ∂ V
- T Ω V

**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 S = T = U ≥ V. Conclusion I translates to S = V. Conclusion II translates to T > V. 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 5

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

- @ means X = Y
- ρ means X ≯ (not more than) Y
- ¥ means X ≥ Y
- ∑ means X < Y
- ω means X > Y

**Statements: **M ω N; N ∑ O; O ρ P;

**Conclusions: **

- M ∑ P
- N ω P

**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 M > N < O ≤ P. Conclusion I translates to M < P. Conclusion II translates to N > P. So we can see that neither I nor II is true.

### More Chapters | See All...

HCF and LCM | Classification Test | Statements and Assumptions | Blood Relations | Matrix Test | Simple Interest | Venn Diagrams | Data Sufficiency | Logarithms | Partnerships | More...

This Blog Post/Article "Inequalities Quiz Set 029" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-04-07.