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
- λ means X < Y
- Δ means X > Y

**Statements: **T λ U; U λ V; V ω W; W ω X;

**Conclusions: **

- U λ X
- V ω X
- T λ V

Which of the above conclusions is/are true?

### Question 2

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

- λ means X = Y
- % means X ≯ (not more than) Y
- µ means X ≥ Y
- ρ means X < Y
- ∧ means X > Y

**Statements: **O % P; P λ Q; Q ρ R;

**Conclusions: **

- O ρ R
- 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 < R. Conclusion II translates to P > R. 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 ≥.

### Question 3

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

- ∃ means X = Y
- ∀ means X ≤ Y
- ∏ means X ≥ Y
- Θ means X < Y
- ® means X > Y

**Statements: **F Θ G; G ® H; H ∃ I; I ∃ J;

**Conclusions: **

- I Θ G
- F Θ J
- J Θ H

Which of the above conclusions is/are true?

### Question 4

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

- Θ means X = Y
- ® means X ≤ Y
- ¢ means X ≥ Y
- ∇ means X < Y
- ∅ means X > Y

**Statements: **F ∇ G; G ∇ H; H Θ I; I ∅ J;

**Conclusions: **

- G ∇ J
- F ∅ H
- J ∅ H

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: **N © O; O © P; P ∏ Q; Q £ R;

**Conclusions: **

- O ∏ Q
- O ∏ R
- R £ P

Which of the above conclusions is/are true?

This Blog Post/Article "Inequalities Quiz Set 005" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-06-24.