Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

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

- ∃ means X = Y
- % means X ≤ Y
- Ω means X ≮ (not less than) Y
- ⊗ means X < Y
- £ means X > Y

**Statements: **N Ω O; O £ P; P ⊗ Q;

**Conclusions: **

- N £ P
- O Ω 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: c**

The statements can be translated to N ≥ O > P < Q. Conclusion I translates to N > P. Conclusion II translates to O ≥ Q. 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
- √ means X ≤ Y
- ∩ means X ≥ Y
- $ means X < Y
- ⊗ means X > Y

**Statements: **I $ J; J ⊗ K; K √ L;

**Conclusions: **

- I ⊗ K
- I $ L

**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 I < J > K ≤ L. Conclusion I translates to I > K. Conclusion II translates to I < L. 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 3

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

- @ means X = Y
- Ξ means X ≯ (not more than) Y
- η means X ≮ (not less than) Y
- ¢ means X < Y
- ∃ means X > Y

**Statements: **F ¢ G; G @ H; H ∃ I;

**Conclusions: **

- F ¢ 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: b**

The statements can be translated to F < G = H > I. Conclusion I translates to F < I. Conclusion II translates to G > I. 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
- ρ means X ≤ Y
- « means X ≮ (not less than) Y
- ω means X < Y
- ⊗ means X > Y

**Statements: **L ρ M; M ω N; N ρ O;

**Conclusions: **

- L ⊗ N
- O ω L

**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 L ≤ M < N ≤ O. Conclusion I translates to L > N. Conclusion II translates to O < L. 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
- Γ means X ≤ Y
- η means X ≥ Y
- ∅ means X < Y
- £ means X > Y

**Statements: **H £ I; I ∀ J; J ∅ K; K ∀ L;

**Conclusions: **

- L £ I
- I ∅ K
- J £ H

Which of the above conclusions is/are true?

### More Chapters | See All...

Cubes and Dice | Image Series | abba Series | Problems on Numbers | HCF and LCM | Paper Cutting | Paper Folding | Coding Decoding | Classification Test | Simple Interest | More...

This Blog Post/Article "Inequalities Quiz Set 024" 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