Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

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

- ∏ means X = Y
- η means X ≤ Y
- Δ means X ≥ Y
- √ means X < Y
- Γ means X > Y

**Statements: **S η T; T √ U; U η V;

**Conclusions: **

- S Γ U
- V √ S

**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 S ≤ T < U ≤ V. Conclusion I translates to S > U. Conclusion II translates to V < S. 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
- Ω means X ≤ Y
- ∃ means X ≥ Y
- η means X < Y
- ⊕ means X > Y

**Statements: **N ⊕ O; O ⊕ P; P η Q; Q η R;

**Conclusions: **

- N ⊕ R
- O η R
- O ⊕ Q

Which of the above conclusions is/are true?

### Question 3

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

- ∧ means X = Y
- ∏ means X ≤ Y
- ∀ means X ≥ Y
- ⊕ means X < Y
- Θ means X > Y

**Statements: **F ∧ G; G ⊕ H; H ∧ I; I ∧ J;

**Conclusions: **

- J ⊕ H
- F ⊕ J
- G ⊕ I

Which of the above conclusions is/are true?

### Question 4

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

- ® means X = Y
- $ means X ≯ (not more than) Y
- ρ means X ≥ Y
- £ means X < Y
- © means X > Y

**Statements: **M $ N; N © O; O £ P;

**Conclusions: **

- O £ P
- O £ 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 M ≤ N > O < P. Conclusion I translates to O < P. Conclusion II translates to O < 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 5

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

- ⊗ means X = Y
- η means X ≯ (not more than) Y
- ∀ means X ≮ (not less than) Y
- √ means X < Y
- © means X > Y

**Statements: **F √ G; G ⊗ H; H √ I;

**Conclusions: **

- F √ H
- 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: c**

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

### More Chapters | See All...

Surds and Indices | Ratio and Proportion | Mirror Images | Probability | Simple Interest | Percentages | Alligations and Mixtures | Passwords and Inputs | Stocks and Shares | Problems on Ages | More...

This Blog Post/Article "Inequalities Quiz Set 026" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2020-01-21. Published on: 2016-04-13