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 ≥ Y
- Γ means X < Y
- ⊕ means X > Y

**Statements: **Q Γ R; R Γ S; S Γ T;

**Conclusions: **

- Q Γ S
- 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: c**

The statements can be translated to Q < R < S < T. Conclusion I translates to Q < S. Conclusion II translates to R ≥ T. 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.

- ¢ means X = Y
- $ means X ≤ Y
- @ means X ≮ (not less than) Y
- ⊕ means X < Y
- ¥ means X > Y

**Statements: **B $ C; C ⊕ D; D ¢ E;

**Conclusions: **

- B ⊕ E
- D ¥ B

**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 B ≤ C < D = E. Conclusion I translates to B < E. Conclusion II translates to D > B. 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
- £ means X ≥ Y
- ⊗ means X < Y
- @ means X > Y

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

**Conclusions: **

- P ⊗ R
- O @ Q
- O ⊗ S

Which of the above conclusions is/are true?

### Question 4

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

- ρ means X = Y
- @ means X ≯ (not more than) Y
- Ω means X ≮ (not less than) Y
- ⊕ means X < Y
- ∀ means X > Y

**Statements: **C Ω D; D ∀ E; E Ω F;

**Conclusions: **

- D ⊕ C
- C ρ D

**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 C ≥ D > E ≥ F. Conclusion I translates to D < C. Conclusion II translates to C = D. 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 ≥.

### 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
- µ means X > Y

**Statements: **I ¢ J; J µ K; K µ L;

**Conclusions: **

- I ¢ L
- J µ L

**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 I < J > K > L. Conclusion I translates to I < L. Conclusion II translates to J > L. So we can see that only conclusion II is true.

### More Chapters | See All...

Surds and Indices | Sitting Arrangements | Analogies | Pipes and Cisterns | Basic Simplification | Matrix Test | abba Series | Square and Cube Roots | Paper Cutting | Inequalities | More...

This Blog Post/Article "Inequalities Quiz Set 043" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2019-08-18.