Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

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: **T ∇ U; U ∂ V; V √ W;

**Conclusions: **

- T ∇ V
- U Ξ 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: c**

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 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
- Ξ means X ≤ Y
- ∏ means X ≮ (not less than) Y
- ∃ means X < Y
- µ means X > Y

**Statements: **B Ξ 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: c**

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 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 3

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

- ∧ means X = Y
- ρ means X ≤ Y
- ∑ means X ≮ (not less than) Y
- Θ means X < Y
- ¥ means X > Y

**Statements: **B ρ C; C ∧ D; D ρ E;

**Conclusions: **

- B ¥ D
- E Θ B

**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 B ≤ C = D ≤ E. Conclusion I translates to B > D. Conclusion II translates to E < B. 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 4

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

- $ means X = Y
- ∏ means X ≤ Y
- ∇ means X ≮ (not less than) Y
- Δ means X < Y
- @ means X > Y

**Statements: **K @ L; L @ M; M ∏ N;

**Conclusions: **

- K Δ N
- M @ K

**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 K > L > M ≤ N. Conclusion I translates to K < N. Conclusion II translates to M > K. So we can see that neither I nor II is true.

### 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
- @ means X > Y

**Statements: **D « E; E « F; F $ G; G $ H;

**Conclusions: **

- H @ D
- D « G
- E « H

Which of the above conclusions is/are true?

### More Chapters | See All...

Problems on Numbers | Clocks and Calendars | Cubes and Dice | Inequalities | Compound Interest | Sitting Arrangements | Areas | Profit and Loss | Course of Action | Simple Interest | More...

This Blog Post/Article "Inequalities Quiz Set 001" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-05-17.