Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

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

- √ means X = Y
- η means X ≤ Y
- Γ means X ≥ Y
- £ means X < Y
- ¢ means X > Y

**Statements: **H √ I; I £ J; J ¢ K; K ¢ L;

**Conclusions: **

- I ¢ L
- H £ L
- I £ K

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 ≯ (not more than) Y
- √ means X ≮ (not less than) Y
- ∏ means X < Y
- Ω means X > Y

**Statements: **F ® G; G ∏ H; H £ I;

**Conclusions: **

- F Ω I
- H ∏ F

**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 H < F. 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.

- ∏ means X = Y
- ∑ means X ≤ Y
- ω means X ≥ Y
- % means X < Y
- Δ means X > Y

**Statements: **C % D; D % E; E ∏ F; F ∏ G;

**Conclusions: **

- C % E
- F Δ C
- D % G

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 ≤ Y
- ∧ means X ≥ Y
- ∂ means X < Y
- ∩ means X > Y

**Statements: **B ∩ C; C ∂ D; D ∩ E; E ∩ F;

**Conclusions: **

- D ∂ B
- B ∩ F
- E ∩ C

Which of the above conclusions is/are true?

### Question 5

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: **J © K; K ∅ L; L ∧ M;

**Conclusions: **

- K √ M
- K ∅ M

**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 J < K = L ≥ M. Conclusion I translates to K > M. Conclusion II translates to K = M. 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 ≥.

### More Chapters | See All...

Classification Test | Missing Numbers | Alphabet Number Series | Ranking Test | Statements and Assumptions | Problems on Trains | Averages | Probability | Deductive Reasoning | Simple Interest | More...

This Blog Post/Article "Inequalities Quiz Set 037" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2020-01-14.