Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

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

- ∀ means X = Y
- ω means X ≯ (not more than) Y
- « means X ≥ Y
- ∏ means X < Y
- Δ means X > Y

**Statements: **G Δ H; H ∀ I; I « J;

**Conclusions: **

- H Δ J
- 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: d**

The statements can be translated to G > H = I ≥ J. Conclusion I translates to H > J. Conclusion II translates to H = J. 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 2

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

- ∀ means X = Y
- @ means X ≯ (not more than) Y
- Θ means X ≥ Y
- § means X < Y
- η means X > Y

**Statements: **M @ N; N η O; O @ P;

**Conclusions: **

- M § P
- N § O

**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 M ≤ N > O ≤ P. Conclusion I translates to M < P. Conclusion II translates to N < O. 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 3

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

- η means X = Y
- ≅ means X ≤ Y
- ∅ means X ≥ Y
- Θ means X < Y
- ω means X > Y

**Statements: **O η P; P η Q; Q Θ R; R Θ S;

**Conclusions: **

- P Θ R
- S ω P
- S ω Q

Which of the above conclusions is/are true?

### Question 4

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

- § means X = Y
- ω means X ≤ Y
- % means X ≮ (not less than) Y
- ∏ means X < Y
- ® means X > Y

**Statements: **B § C; C § D; D ω E;

**Conclusions: **

- B ® E
- D ® B

**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 B = C = D ≤ E. Conclusion I translates to B > E. Conclusion II translates to D > B. 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.

- ∇ means X = Y
- £ means X ≯ (not more than) Y
- @ means X ≮ (not less than) Y
- ¥ means X < Y
- ≅ means X > Y

**Statements: **O @ P; P ∇ Q; Q ¥ R;

**Conclusions: **

- O ≅ Q
- P @ R

**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 O ≥ P = Q < R. Conclusion I translates to O > Q. Conclusion II translates to P ≥ R. So we can see that only conclusion I is true.

### More Chapters | See All...

Matrix Test | Areas | Statements and Assumptions | Venn Diagrams | abba Series | Time and Work | Percentages | Pipes and Cisterns | Problems on Ages | Statements and Conclusions | More...

This Blog Post/Article "Inequalities Quiz Set 014" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2020-01-14.