Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

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

- λ means X = Y
- ρ means X ≤ Y
- ∀ means X ≥ Y
- Θ means X < Y
- ⊕ means X > Y

**Statements: **P Θ Q; Q λ R; R ⊕ S; S λ T;

**Conclusions: **

- T ⊕ R
- T ⊕ P
- Q ⊕ T

Which of the above conclusions is/are true?

### Question 2

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

- ω means X = Y
- Δ means X ≤ Y
- @ means X ≮ (not less than) Y
- ∅ means X < Y
- Ω means X > Y

**Statements: **K Ω L; L Ω M; M @ N;

**Conclusions: **

- M Ω N
- M ω N

**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 K > L > M ≥ N. Conclusion I translates to M > N. Conclusion II translates to M = N. 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 3

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: **D « E; E « F; F $ G; G $ H;

**Conclusions: **

- H @ D
- D « G
- E « H

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: **

- D © G
- E ∩ G

**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 D > E < F ≤ G. Conclusion I translates to D < G. Conclusion II translates to E > G. 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 5

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

- η means X = Y
- Ω means X ≤ Y
- ¢ means X ≥ Y
- ∩ means X < Y
- ω means X > Y

**Statements: **T ω U; U ω V; V ∩ W;

**Conclusions: **

- T ∩ V
- U ω W

**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 T > U > V < W. Conclusion I translates to T < V. Conclusion II translates to U > W. 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...

Decimal Numbers | Pipes and Cisterns | Cubes and Dice | Areas | Problems on Trains | Surds and Indices | Image Series | Statements and Conclusions | Deductive Reasoning | Blood Relations | More...

This Blog Post/Article "Inequalities Quiz Set 032" 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