Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### 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
- µ means X > Y

**Statements: **T µ U; U $ V; V √ 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 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 ≯ (not more than) Y
- ≅ means X ≮ (not less than) Y
- § means X < Y
- Θ means X > Y

**Statements: **Q Θ R; R @ S; S § T;

**Conclusions: **

- Q Θ S
- R ≅ 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: c**

The statements can be translated to Q > R = S < T. Conclusion I translates to Q > S. Conclusion II translates to R ≥ T. 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 4

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

- ∧ means X = Y
- Ω means X ≯ (not more than) Y
- ∏ means X ≮ (not less than) Y
- ∩ means X < Y
- µ means X > Y

**Statements: **O ∏ P; P ∧ Q; Q ∏ R;

**Conclusions: **

- O ∧ Q
- O µ 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: d**

The statements can be translated to O ≥ P = Q ≥ R. Conclusion I translates to O = Q. Conclusion II translates to O > P. So we can see that either I or II can be true.

### 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
- Ξ means X > Y

**Statements: **S ∩ T; T ∅ U; U ∩ V;

**Conclusions: **

- S ∅ V
- 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: a**

The statements can be translated to S = T < U = V. Conclusion I translates to S < V. Conclusion II translates to T < U. So we can see that both I and II are true.

### More Chapters | See All...

Course of Action | Missing Numbers | Partnerships | Mirror Images | Ranking Test | Coding Decoding | Time and Work | Basic Simplification | Direction Sense Test | Profit and Loss | More...

This Blog Post/Article "Inequalities Quiz Set 031" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-06-24.