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
- ¢ means X ≥ Y
- ω means X < Y
- µ means X > Y

**Statements: **G ¢ H; H µ I; I ¥ J;

**Conclusions: **

- H µ J
- G µ J

**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 G ≥ H > I ≤ J. Conclusion I translates to H > J. Conclusion II translates to G > J. 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: **F @ G; G @ H; H © I; I ∀ J;

**Conclusions: **

- J ∀ G
- F © H
- I ∀ F

Which of the above conclusions is/are true?

### Question 3

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

- µ means X = Y
- ¢ means X ≤ Y
- ∧ means X ≥ Y
- © means X < Y
- ρ means X > Y

**Statements: **N © O; O µ P; P ρ Q; Q ρ R;

**Conclusions: **

- R © O
- Q © O
- P © N

Which of the above conclusions is/are true?

### 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: **

- F @ G
- F ® 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: d**

The statements can be translated to D > E < F ≥ G. Conclusion I translates to F > G. Conclusion II translates to F = G. 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 ≤ Y
- ¥ means X ≥ Y
- ∃ means X < Y
- Δ means X > Y

**Statements: **L ⊗ M; M ⊗ N; N ⊗ O; O ⊗ P;

**Conclusions: **

- P ∃ N
- O ∃ M
- M ⊗ P

Which of the above conclusions is/are false?

### More Chapters | See All...

Hidden Figures | Clocks and Calendars | Passwords and Inputs | Matrix Test | Profit and Loss | Boats and Streams | Decimal Numbers | Logarithms | Sitting Arrangements | Surds and Indices | More...

This Blog Post/Article "Inequalities Quiz Set 028" 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