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
- λ means X > Y

**Statements: **L ⊕ M; M ≅ N; N λ O; O λ P;

**Conclusions: **

- P λ L
- N λ P
- L λ N

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
- ω means X ≥ 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: b**

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 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 ≤ Y
- ® means X ≮ (not less than) Y
- ¥ means X < Y
- ¢ means X > Y

**Statements: **H ∩ I; I ¢ J; J ® K;

**Conclusions: **

- J ¥ H
- H ¢ 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: d**

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

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

- ∧ means X = Y
- ∃ means X ≯ (not more than) Y
- ω means X ≥ Y
- § means X < Y
- ∩ means X > Y

**Statements: **M ∩ N; N § O; O ∧ P;

**Conclusions: **

- M ∩ N
- N § P

**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 M > N < O = P. Conclusion I translates to M > N. Conclusion II translates to N < P. 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 5

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.

### More Chapters | See All...

Missing Numbers | abba Series | Time and Work | Inequalities | Image Series | Logarithms | Permutations and Combinations | Blood Relations | Verification of truth | Pipes and Cisterns | More...

This Blog Post/Article "Inequalities Quiz Set 047" 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