Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

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
- £ means X > Y

**Statements: **N Ω O; O £ P; P ⊗ Q;

**Conclusions: **

- N £ P
- O Ω Q

**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 N ≥ O > P < Q. Conclusion I translates to N > P. Conclusion II translates to O ≥ Q. 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 2

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

- λ means X = Y
- ρ means X ≤ Y
- ∀ means X ≥ Y
- Θ means X < Y
- ⊕ means X > Y

**Statements: **P Θ Q; Q λ R; R ⊕ S; S λ T;

**Conclusions: **

- T ⊕ R
- T ⊕ P
- Q ⊕ T

Which of the above conclusions is/are true?

### 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
- ∩ means X > Y

**Statements: **D ∩ E; E © F; F ∂ G;

**Conclusions: **

- D © G
- E ∩ G

**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 < G. Conclusion II translates to E > G. 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 4

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

- ® means X = Y
- µ means X ≯ (not more than) Y
- ¥ means X ≥ Y
- ∅ means X < Y
- ∧ means X > Y

**Statements: **L ¥ M; M ∅ N; N ¥ O;

**Conclusions: **

- L ∅ O
- O ∅ L

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

- µ means X = Y
- ⊕ means X ≯ (not more than) Y
- ¥ means X ≮ (not less than) Y
- ∏ means X < Y
- √ means X > Y

**Statements: **O ¥ P; P µ Q; Q µ R;

**Conclusions: **

- O √ R
- P µ R

**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 O ≥ P = Q = R. Conclusion I translates to O > R. Conclusion II translates to P = R. So we can see that both I and II are true.

### More Chapters | See All...

Venn Diagrams | Problems on Trains | Profit and Loss | Paper Cutting | Ranking Test | Matrix Test | Averages | Verification of truth | Time and Work | Analogies | More...

This Blog Post/Article "Inequalities Quiz Set 041" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-04-07.