Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

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: **D @ E; E « F; F ∑ G;

**Conclusions: **

- D ∑ G
- E ≅ G

**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 D ≤ E = F < G. Conclusion I translates to D < G. Conclusion II translates to E > G. 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 2

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

- Δ means X = Y
- © means X ≤ Y
- ≅ means X ≥ Y
- « means X < Y
- ω means X > Y

**Statements: **J « K; K « L; L Δ M;

**Conclusions: **

- J « L
- L ω 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: a**

The statements can be translated to J < K < L = M. Conclusion I translates to J < L. Conclusion II translates to L > J. 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 3

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

- £ means X = Y
- ∩ means X ≤ Y
- Ξ means X ≥ Y
- « means X < Y
- ∀ means X > Y

**Statements: **R ∀ S; S ∀ T; T « U; U ∀ V;

**Conclusions: **

- V ∀ T
- R ∀ U
- U « S

Which of the above conclusions is/are true?

### Question 4

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

- µ means X = Y
- ∑ means X ≤ Y
- ¥ means X ≥ Y
- @ means X < Y
- ∇ means X > Y

**Statements: **S ∇ T; T ∇ U; U @ V; V @ W;

**Conclusions: **

- S ∇ V
- U ∇ S
- W @ U

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 ≯ (not more than) Y
- λ means X ≥ Y
- ∀ means X < Y
- ω means X > Y

**Statements: **Q ∀ R; R ∀ S; S ω T;

**Conclusions: **

- Q ∀ T
- S ω Q

**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 Q < R < S > T. Conclusion I translates to Q < T. Conclusion II translates to S > Q. 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...

Decimal Numbers | Surds and Indices | Problems on Ages | abba Series | Cubes and Dice | Ranking Test | Paper Folding | Percentages | Statements and Conclusions | Stocks and Shares | More...

This Blog Post/Article "Inequalities Quiz Set 034" 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