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 ≥ Y
- Ξ means X < Y
- @ means X > Y

**Statements: **M @ N; N @ O; O Ξ P; P Ξ Q;

**Conclusions: **

- O Ξ M
- Q Ξ O
- N Ξ Q

Which of the above conclusions is/are true?

### Question 2

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

- ∑ means X = Y
- Δ means X ≤ Y
- µ means X ≮ (not less than) Y
- √ means X < Y
- ¢ means X > Y

**Statements: **M ∑ N; N ¢ O; O µ P;

**Conclusions: **

- O ∑ P
- O ¢ 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: d**

The statements can be translated to M = N > O ≥ P. Conclusion I translates to O = P. Conclusion II translates to O > P. 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.

- µ means X = Y
- ⊕ means X ≤ Y
- Δ means X ≮ (not less than) Y
- λ means X < Y
- ρ means X > Y

**Statements: **N Δ O; O ρ P; P Δ Q;

**Conclusions: **

- O λ N
- N µ O

**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 N ≥ O > P ≥ Q. Conclusion I translates to O < N. Conclusion II translates to N = O. 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 4

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

- § means X = Y
- Ω means X ≤ Y
- λ means X ≥ Y
- √ means X < Y
- ⊗ means X > Y

**Statements: **L √ M; M § N; N § O; O ⊗ P;

**Conclusions: **

- O ⊗ L
- P ⊗ L
- L § N

Which of the above conclusions is/are true?

### Question 5

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

- ∑ means X = Y
- Δ means X ≤ Y
- Γ means X ≥ Y
- Ξ means X < Y
- Ω means X > Y

**Statements: **T ∑ U; U ∑ V; V Ω W; W Ω X;

**Conclusions: **

- W Ξ T
- T Ω X
- V Ξ T

Which of the above conclusions is/are true?

### More Chapters | See All...

Analogies | Logarithms | Pipes and Cisterns | Blood Relations | Classification Test | Inequalities | Verification of truth | Statements and Assumptions | Cubes and Dice | Percentages | More...

This Blog Post/Article "Inequalities Quiz Set 010" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2019-08-18.