Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

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

- ω means X = Y
- ® means X ≤ Y
- ∇ means X ≥ Y
- © means X < Y
- § means X > Y

**Statements: **S § T; T ω U; U ω V; V ω W;

**Conclusions: **

- T ω V
- W © T
- U © 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: **B ∃ C; C ∃ D; D ⊗ E; E ∃ F;

**Conclusions: **

- D ⊗ B
- E ⊗ C
- D ⊗ F

Which of the above conclusions is/are true?

### Question 3

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: **F £ G; G ∩ H; H ¢ I;

**Conclusions: **

- F $ I
- G $ I

**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 F < G = H ≤ I. Conclusion I translates to F > I. Conclusion II translates to G > I. 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 4

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

- Γ means X = Y
- ∅ means X ≯ (not more than) Y
- η means X ≥ Y
- Ω means X < Y
- % means X > Y

**Statements: **M % N; N Γ O; O η P;

**Conclusions: **

- N % P
- N Γ P

**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 M > N = O ≥ P. Conclusion I translates to N > P. Conclusion II translates to N = P. 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 ≯ (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
- D ∀ 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: b**

The statements can be translated to D ≤ E = F > G. Conclusion I translates to D = G. Conclusion II translates to D < F. So we can see that only conclusion II 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...

Paper Cutting | Statements and Conclusions | Partnerships | Matrix Test | Essential Part | Surds and Indices | Permutations and Combinations | Stocks and Shares | Time and Work | Decimal Numbers | More...

This Blog Post/Article "Inequalities Quiz Set 044" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-04-07.