Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

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: **N © O; O © P; P ∏ Q; Q £ R;

**Conclusions: **

- O ∏ Q
- O ∏ R
- R £ P

Which of the above conclusions is/are true?

### Question 2

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

- λ means X = Y
- % means X ≯ (not more than) Y
- µ means X ≥ Y
- ρ means X < Y
- ∧ means X > Y

**Statements: **O % P; P λ Q; Q ρ R;

**Conclusions: **

- O ρ R
- P ∧ R

**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 O ≤ P = Q < R. Conclusion I translates to O < R. Conclusion II translates to P > R. 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 ≤ Y
- ⊕ means X ≥ Y
- ¥ means X < Y
- % means X > Y

**Statements: **N % O; O % P; P ¥ Q; Q § R;

**Conclusions: **

- Q ¥ O
- P ¥ R
- R ¥ N

Which of the above conclusions is/are true?

### Question 4

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

- ∅ means X = Y
- Γ means X ≯ (not more than) Y
- Ω means X ≥ Y
- « means X < Y
- ∩ means X > Y

**Statements: **M ∩ N; N « O; O ∩ P;

**Conclusions: **

- M ∅ P
- N « 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: b**

The statements can be translated to M > N < O > P. Conclusion I translates to M = P. Conclusion II translates to N < O. 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 5

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

- ⊕ means X = Y
- « means X ≤ Y
- ∧ means X ≮ (not less than) Y
- Γ means X < Y
- ∏ means X > Y

**Statements: **Q ∧ R; R ∏ S; S ⊕ T;

**Conclusions: **

- Q Γ T
- R ⊕ T

**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 Q ≥ R > S = T. Conclusion I translates to Q < T. Conclusion II translates to R = T. 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 ≥.

### More Chapters | See All...

Pipes and Cisterns | Paper Cutting | Missing Numbers | Areas | Coding Decoding | Verification of truth | Direction Sense Test | HCF and LCM | Hidden Figures | Surds and Indices | More...

This Blog Post/Article "Inequalities Quiz Set 031" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-04-07.