Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

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 2

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

- ∅ means X = Y
- @ means X ≯ (not more than) Y
- § means X ≥ Y
- % means X < Y
- √ means X > Y

**Statements: **M √ N; N % O; O % P;

**Conclusions: **

- N % P
- 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: c**

The statements can be translated to M > N < O < P. Conclusion I translates to N < P. Conclusion II translates to N ≥ P. 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
- Θ means X ≤ Y
- ∂ means X ≥ Y
- ⊗ means X < Y
- Δ means X > Y

**Statements: **H ⊗ I; I ⊗ J; J ∧ K; K ⊗ L;

**Conclusions: **

- K Δ I
- J ⊗ H
- H ⊗ L

Which of the above conclusions is/are true?

### Question 4

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

- ∏ means X = Y
- λ means X ≤ Y
- ∂ means X ≥ Y
- Γ means X < Y
- ≅ means X > Y

**Statements: **R Γ S; S Γ T; T ∏ U; U ∏ V;

**Conclusions: **

- T ≅ V
- R Γ U
- R Γ V

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 ≤ Y
- Ω means X ≥ Y
- ⊗ means X < Y
- λ means X > Y

**Statements: **I λ J; J λ K; K ∃ L; L ∃ M;

**Conclusions: **

- I ⊗ K
- J λ L
- I λ M

Which of the above conclusions is/are true?

This Blog Post/Article "Inequalities Quiz Set 006" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2018-01-02.