Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

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: **S ∂ T; T ∂ U; U ∧ V; V « W;

**Conclusions: **

- U ∧ S
- S ∂ V
- S ∂ W

Which of the above conclusions is/are true?

### Question 2

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

- µ means X = Y
- $ means X ≤ Y
- ® means X ≥ Y
- % means X < Y
- ∀ means X > Y

**Statements: **R µ S; S µ T; T ∀ U; U ∀ V;

**Conclusions: **

- R µ T
- U % S
- R ∀ V

Which of the above conclusions is/are true?

### Question 3

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

- Θ means X = Y
- ≅ means X ≯ (not more than) Y
- Ξ means X ≥ Y
- ∃ means X < Y
- Δ means X > Y

**Statements: **N Θ O; O Θ P; P Θ Q;

**Conclusions: **

- N Θ P
- P Θ 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: a**

The statements can be translated to N = O = P = Q. Conclusion I translates to N = P. Conclusion II translates to P = Q. 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 ≤ Y
- ¢ means X ≥ Y
- ¥ means X < Y
- η means X > Y

**Statements: **C ¥ D; D η E; E ¢ F;

**Conclusions: **

- E η F
- E £ F

**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 C < D > E ≥ F. Conclusion I translates to E > F. Conclusion II translates to E = F. 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
- √ means X ≤ Y
- η means X ≥ Y
- @ means X < Y
- Θ means X > Y

**Statements: **Q @ R; R ⊕ S; S @ T; T @ U;

**Conclusions: **

- R @ U
- S Θ U
- R @ T

Which of the above conclusions is/are true?

This Blog Post/Article "Inequalities Quiz Set 017" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2019-08-18.