Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

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

- η means X = Y
- £ means X ≤ Y
- Θ means X ≮ (not less than) Y
- ∩ means X < Y
- ∇ means X > Y

**Statements: **B £ C; C η D; D ∇ E;

**Conclusions: **

- B η E
- B ∩ 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: b**

The statements can be translated to B ≤ C = D > E. Conclusion I translates to B = E. Conclusion II translates to B < D. 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 ≥.

### Question 2

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

- ∏ means X = Y
- ∩ means X ≤ Y
- ¢ means X ≥ Y
- ∅ means X < Y
- ω means X > Y

**Statements: **C ω D; D ∏ E; E ∏ F;

**Conclusions: **

- C ω F
- D ∏ F

**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 C > D = E = F. Conclusion I translates to C > F. Conclusion II translates to D = F. 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 ≯ (not more than) Y
- Γ means X ≥ Y
- ⊕ means X < Y
- ∑ means X > Y

**Statements: **G ∑ H; H ⊕ I; I ⊕ J;

**Conclusions: **

- H ⊕ J
- H Γ 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: c**

The statements can be translated to G > H < I < J. Conclusion I translates to H < J. Conclusion II translates to H ≥ J. 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 4

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

- ® means X = Y
- Ξ means X ≤ Y
- ⊕ means X ≮ (not less than) Y
- Θ means X < Y
- ⊗ means X > Y

**Statements: **Q ⊕ R; R Θ S; S Ξ T;

**Conclusions: **

- R ⊗ T
- Q ⊗ T

**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 Q ≥ R < S ≤ T. Conclusion I translates to R > T. Conclusion II translates to Q > T. So we can see that neither I nor II is true.

### Question 5

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

- Δ means X = Y
- ∂ means X ≤ Y
- § means X ≥ Y
- ¢ means X < Y
- λ means X > Y

**Statements: **T λ U; U λ V; V § W;

**Conclusions: **

- V λ W
- V Δ 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: d**

The statements can be translated to T > U > V ≥ W. Conclusion I translates to V > W. Conclusion II translates to V = W. So we can see that either I or II can be true.

### More Chapters | See All...

Basic Simplification | Time and Work | Image Series | Compound Interest | Matrix Test | Data Sufficiency | Mirror Images | Ratio and Proportion | Analogies | Volume and Surface Areas | More...

This Blog Post/Article "Inequalities Quiz Set 019" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2020-01-14.