Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

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

- λ means X = Y
- ∂ means X ≤ Y
- © means X ≥ Y
- Θ means X < Y
- ∅ means X > Y

**Statements: **L λ M; M λ N; N ∅ O; O λ P;

**Conclusions: **

- L Θ N
- L ∅ O
- M ∅ O

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
- Δ means X ≮ (not less than) Y
- ρ means X < Y
- ∇ means X > Y

**Statements: **O Δ P; P ® Q; Q § R;

**Conclusions: **

- O ρ Q
- O ∇ R

**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 O ≥ P = Q ≤ R. Conclusion I translates to O < Q. Conclusion II translates to O > R. 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 ≯ (not more than) Y
- Ω means X ≮ (not less than) Y
- ∏ means X < Y
- Δ means X > Y

**Statements: **Q Δ R; R ∩ S; S ∩ T;

**Conclusions: **

- Q Δ T
- R ∩ T

**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: a**

The statements can be translated to Q > R = S = T. Conclusion I translates to Q > T. Conclusion II translates to R = T. So we can see that both I and II are 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.

- Ξ means X = Y
- £ means X ≤ Y
- ∇ means X ≥ Y
- Ω means X < Y
- ∩ means X > Y

**Statements: **I Ω J; J Ξ K; K ∩ L; L Ξ M;

**Conclusions: **

- L ∩ I
- K ∩ I
- J ∩ L

Which of the above conclusions is/are true?

### Question 5

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

- ⊗ means X = Y
- ω means X ≤ Y
- § means X ≥ Y
- Ξ means X < Y
- η means X > Y

**Statements: **D ⊗ E; E ⊗ F; F Ξ G; G ⊗ H;

**Conclusions: **

- D Ξ F
- D Ξ H
- F Ξ H

Which of the above conclusions is/are true?

### More Chapters | See All...

Paper Folding | Ratio and Proportion | Matrix Test | Basic Simplification | Statements and Assumptions | Coding Decoding | Problems on Trains | HCF and LCM | Stocks and Shares | Probability | More...

This Blog Post/Article "Inequalities Quiz Set 022" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2020-02-07. Published on: 2016-04-13