Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

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

- η means X = Y
- ω means X ≤ Y
- Ω means X ≥ Y
- % means X < Y
- ∧ means X > Y

**Statements: **A ∧ B; B η C; C ∧ D; D η E;

**Conclusions: **

- C ∧ E
- E % A
- A ∧ C

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 ≤ Y
- ω means X ≥ Y
- § means X < Y
- ® means X > Y

**Statements: **J § K; K @ L; L § M;

**Conclusions: **

- J § L
- K ω M

**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 J < K = L < M. Conclusion I translates to J < L. Conclusion II translates to K ≥ M. 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
- ∅ means X ≯ (not more than) Y
- ⊕ means X ≮ (not less than) Y
- ∀ means X < Y
- § means X > Y

**Statements: **D ∅ E; E © F; F § G;

**Conclusions: **

- D © G
- 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: b**

The statements can be translated to D ≤ E = F > G. Conclusion I translates to D = G. Conclusion II translates to D < F. 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 4

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

- Ω means X = Y
- ∑ means X ≯ (not more than) Y
- ⊕ means X ≮ (not less than) Y
- ∇ means X < Y
- Δ means X > Y

**Statements: **F Ω G; G Δ H; H ∑ I;

**Conclusions: **

- F Δ I
- H ∇ F

**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 F = G > H ≤ I. Conclusion I translates to F > I. Conclusion II translates to H < F. 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 5

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

- « means X = Y
- Γ means X ≯ (not more than) Y
- ⊗ means X ≥ Y
- ∧ means X < Y
- η means X > Y

**Statements: **B ∧ C; C ∧ D; D ⊗ E;

**Conclusions: **

- D η E
- D « E

**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 B < C < D ≥ E. Conclusion I translates to D > E. Conclusion II translates to D = E. So we can see that either I or II can be true.

### More Chapters | See All...

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This Blog Post/Article "Inequalities Quiz Set 041" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-10-26.