Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

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

- ∀ means X = Y
- @ means X ≯ (not more than) Y
- Θ means X ≥ Y
- § means X < Y
- η means X > Y

**Statements: **M @ N; N η O; O @ P;

**Conclusions: **

- M § P
- N § O

**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 < O. 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.

- Ξ means X = Y
- Δ means X ≤ Y
- λ means X ≥ Y
- ∃ means X < Y
- ⊗ means X > Y

**Statements: **O ⊗ P; P ⊗ Q; Q ⊗ R; R ⊗ S;

**Conclusions: **

- P ⊗ S
- S ∃ Q
- Q ∃ O

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 ≤ Y
- @ means X ≮ (not less than) Y
- ⊕ means X < Y
- ¥ means X > Y

**Statements: **B $ C; C ⊕ D; D ¢ E;

**Conclusions: **

- B ⊕ E
- D ¥ B

**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 B ≤ C < D = E. Conclusion I translates to B < E. Conclusion II translates to D > B. So we can see that both I and II are 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 ≮ (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**

either I or II can be true.

**Soln.**

**Ans: c**

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 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 5

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

- ¢ means X = Y
- ⊗ means X ≯ (not more than) Y
- η means X ≥ Y
- « means X < Y
- Θ means X > Y

**Statements: **M ⊗ N; N Θ O; O η P;

**Conclusions: **

- O « M
- M Θ O

**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 M ≤ N > O ≥ P. Conclusion I translates to O < M. Conclusion II translates to M > O. So we can see that either I or II can be true.

### More Chapters | See All...

Areas | Profit and Loss | Data Sufficiency | Decimal Numbers | Image Series | Sitting Arrangements | Paper Folding | Simple Interest | Deductive Reasoning | Paper Cutting | More...

This Blog Post/Article "Inequalities Quiz Set 050" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-04-07.