Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

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

- ∃ means X = Y
- Γ means X ≤ Y
- ∂ means X ≥ Y
- Ξ means X < Y
- Ω means X > Y

**Statements: **D Ω E; E ∃ F; F Ω G; G Ω H;

**Conclusions: **

- F Ω D
- E Ω G
- H Ξ E

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
- ρ means X ≥ Y
- ∑ means X < Y
- ∏ means X > Y

**Statements: **O ∑ P; P « Q; Q ∏ R; R « S;

**Conclusions: **

- O ∑ S
- P ∏ R
- Q ∑ S

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 ≥ Y
- Γ means X < Y
- ≅ means X > Y

**Statements: **L ∀ M; M Γ N; N ≅ O;

**Conclusions: **

- N ∏ O
- N ≅ 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: b**

The statements can be translated to L ≥ M < N > O. Conclusion I translates to N = O. Conclusion II translates to N > O. 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.

- η means X = Y
- ∀ means X ≤ Y
- ∃ means X ≥ Y
- ∧ means X < Y
- Γ means X > Y

**Statements: **I η J; J ∧ K; K Γ L; L Γ M;

**Conclusions: **

- J ∧ L
- M Γ I
- K ∧ M

Which of the above conclusions is/are true?

### Question 5

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

- ® means X = Y
- µ means X ≤ Y
- ≅ means X ≥ Y
- ∧ means X < Y
- ∂ means X > Y

**Statements: **D ® E; E ∧ F; F ∂ G; G ∂ H;

**Conclusions: **

- G ∂ D
- E ∧ H
- G ∂ E

Which of the above conclusions is/are true?

### More Chapters | See All...

Classification Test | Time and Work | Passwords and Inputs | Areas | Bricks and Blocks | Analogies | Course of Action | Blood Relations | Square and Cube Roots | abba Series | More...

This Blog Post/Article "Inequalities Quiz Set 048" 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