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
- ρ means X ≥ Y
- ∩ means X < Y
- ® means X > Y

**Statements: **G ® H; H ∩ I; I @ J;

**Conclusions: **

- G ® H
- H ∩ J

**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 G > H < I = J. Conclusion I translates to G > H. Conclusion II translates to H < J. 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 2

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

- £ means X = Y
- η means X ≤ Y
- © means X ≥ Y
- Θ means X < Y
- ω means X > Y

**Statements: **N Θ O; O Θ P; P £ Q; Q Θ R;

**Conclusions: **

- O Θ R
- R Θ P
- P ω N

Which of the above conclusions is/are true?

### Question 3

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
- Θ means X > Y

**Statements: **F ∀ G; G Θ H; H ∀ I;

**Conclusions: **

- F Θ H
- I ® 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: a**

The statements can be translated to F = G > H = I. Conclusion I translates to F > H. Conclusion II translates to I < G. 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.

- ω means X = Y
- ρ means X ≤ Y
- λ means X ≥ Y
- ∂ means X < Y
- ∀ means X > Y

**Statements: **K ω L; L ω M; M ∀ N; N ∀ O;

**Conclusions: **

- K ω M
- O ∂ K
- N ∂ L

Which of the above conclusions is/are true?

### Question 5

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
- § means X > Y

**Statements: **Q £ R; R § S; S ∀ T;

**Conclusions: **

- S § T
- S ¢ 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: d**

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

### More Chapters | See All...

Areas | Blood Relations | Passwords and Inputs | Decimal Numbers | Problems on Trains | Mirror Images | Logarithms | Statements and Assumptions | Matrix Test | Percentages | More...

This Blog Post/Article "Inequalities Quiz Set 020" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2019-08-18.