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 ≮ (not less than) Y
- Ξ means X < Y
- % means X > Y

**Statements: **M Ξ N; N ∧ O; O ∧ P;

**Conclusions: **

- M Ξ P
- N ∧ 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: a**

The statements can be translated to M < N = O = P. Conclusion I translates to M < P. Conclusion II translates to N = P. 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 ≤ Y
- ∏ means X ≮ (not less than) Y
- µ means X < Y
- ⊗ means X > Y

**Statements: **M $ N; N ⊗ O; O µ P;

**Conclusions: **

- M ⊗ O
- O µ 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: c**

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

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

**Statements: **M % N; N Γ O; O η P;

**Conclusions: **

- N % P
- N Γ 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 N > P. Conclusion II translates to N = 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 4

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

- @ means X = Y
- ρ means X ≯ (not more than) Y
- ¥ means X ≥ Y
- ∑ means X < Y
- ω means X > Y

**Statements: **M ω N; N ∑ O; O ρ P;

**Conclusions: **

- M ∑ P
- N ω P

**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 M > N < O ≤ P. Conclusion I translates to M < P. Conclusion II translates to N > P. 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
- ® means X ≤ Y
- Θ means X ≮ (not less than) Y
- @ means X < Y
- ¢ means X > Y

**Statements: **R £ S; S ¢ T; T £ U;

**Conclusions: **

- R ¢ T
- U @ S

**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 R = S > T = U. Conclusion I translates to R > T. Conclusion II translates to U < S. So we can see that both I and II are true.

### More Chapters | See All...

Ratio and Proportion | HCF and LCM | Paper Folding | Verification of truth | Percentages | Pipes and Cisterns | Statements and Assumptions | Clocks and Calendars | Averages | Mirror Images | More...

This Blog Post/Article "Inequalities Quiz Set 015" 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