Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

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

- Θ means X = Y
- η means X ≯ (not more than) Y
- ∏ means X ≥ Y
- « means X < Y
- ⊕ means X > Y

**Statements: **G ∏ H; H ⊕ I; I Θ J;

**Conclusions: **

- G « J
- H Θ 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: a**

The statements can be translated to G ≥ H > I = J. Conclusion I translates to G < J. Conclusion II translates to H = J. 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 2

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
- Ξ means X < Y
- ∃ means X > Y

**Statements: **F Ξ G; G ∏ H; H © I;

**Conclusions: **

- G ∃ I
- G ∏ I

**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 F < G = H ≥ I. Conclusion I translates to G > I. Conclusion II translates to G = I. 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 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: **N ⊗ O; O ≅ P; P ≅ Q;

**Conclusions: **

- N ⊗ Q
- O ≅ Q

**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 N < O > P > Q. Conclusion I translates to N < Q. Conclusion II translates to O > Q. 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.

- ∀ means X = Y
- ∧ means X ≤ Y
- © means X ≥ Y
- Δ means X < Y
- Γ means X > Y

**Statements: **B ∀ C; C ∀ D; D ∧ E;

**Conclusions: **

- B Γ E
- D Γ 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 > E. Conclusion II translates to D > B. So we can see that neither I nor II is true.

### Question 5

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

- λ means X = Y
- ∃ means X ≤ Y
- ∩ means X ≥ Y
- ¢ means X < Y
- ∅ means X > Y

**Statements: **T ¢ U; U ¢ V; V ∅ W; W ¢ X;

**Conclusions: **

- W ∅ U
- V ∅ X
- X ∅ T

Which of the above conclusions is/are true?

### More Chapters | See All...

Missing Numbers | Venn Diagrams | Averages | Probability | Sitting Arrangements | Mirror Images | Ranking Test | Logarithms | Boats and Streams | Time and Work | 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 2019-06-06.