Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

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

- Ξ means X = Y
- Δ means X ≤ Y
- λ means X ≥ Y
- ∃ means X < Y
- ⊗ means X > Y

**Statements: **O ⊗ P; P ⊗ Q; Q ⊗ R; R ⊗ S;

**Conclusions: **

- P ⊗ S
- S ∃ Q
- Q ∃ O

Which of the above conclusions is/are true?

### Question 2

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

- ρ means X = Y
- @ means X ≤ Y
- µ means X ≥ Y
- ∅ means X < Y
- ∑ means X > Y

**Statements: **K ∅ L; L ∅ M; M ρ N; N ρ O;

**Conclusions: **

- L ∅ O
- K ∅ O
- K ∅ N

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 ≤ Y
- Δ means X ≥ Y
- % means X < Y
- µ means X > Y

**Statements: **M © N; N © O; O µ P; P µ Q;

**Conclusions: **

- O µ M
- Q % M
- Q % O

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
- λ means X < Y
- √ means X > Y

**Statements: **J √ K; K ® L; L λ M; M λ N;

**Conclusions: **

- L λ J
- N λ J
- M λ J

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
- Γ means X ≥ Y
- ⊕ means X < Y
- % means X > Y

**Statements: **T % U; U % V; V % W;

**Conclusions: **

- T ⊕ V
- U % 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: b**

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 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...

Problems on Numbers | Alligations and Mixtures | Partnerships | Bricks and Blocks | HCF and LCM | Areas | Hidden Figures | Logarithms | Time and Work | Venn Diagrams | More...

This Blog Post/Article "Inequalities Quiz Set 002" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-06-24.