Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

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

- λ means X = Y
- ∇ means X ≤ Y
- ¥ means X ≥ Y
- ⊕ means X < Y
- √ means X > Y

**Statements: **S √ T; T √ U; U √ V; V λ W;

**Conclusions: **

- W ⊕ U
- W ⊕ S
- V ⊕ S

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
- Ξ means X ≥ Y
- § means X < Y
- @ means X > Y

**Statements: **K ¢ L; L @ M; M ¢ N; N ¢ O;

**Conclusions: **

- K § M
- K @ N
- N § L

Which of the above conclusions is/are true?

### Question 3

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

- Ξ means X = Y
- µ means X ≤ Y
- ¢ means X ≥ Y
- Θ means X < Y
- Γ means X > Y

**Statements: **H Γ I; I Γ J; J Θ K; K Θ L;

**Conclusions: **

- I Γ K
- L Θ I
- L Θ J

Which of the above conclusions is/are true?

### Question 4

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

- ∀ means X = Y
- λ means X ≤ Y
- Γ means X ≮ (not less than) Y
- √ means X < Y
- § means X > Y

**Statements: **L λ M; M ∀ N; N Γ O;

**Conclusions: **

- M § 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: d**

The statements can be translated to L ≤ M = N ≥ O. Conclusion I translates to M > O. Conclusion II translates to N = O. 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
- ⊗ means X ≮ (not less than) Y
- ∩ means X < Y
- Γ means X > Y

**Statements: **S ¢ T; T ∩ U; U ∩ V;

**Conclusions: **

- S ∩ U
- T Γ V

**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 S = T < U < V. Conclusion I translates to S < U. Conclusion II translates to T > V. 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 ≥.

### More Chapters | See All...

Problems on Ages | Passwords and Inputs | Surds and Indices | Verification of truth | Averages | Problems on Numbers | Blood Relations | Inequalities | Analogies | HCF and LCM | More...

This Blog Post/Article "Inequalities Quiz Set 039" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2019-08-18.