Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

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

- ≅ means X = Y
- © means X ≯ (not more than) Y
- ∂ means X ≮ (not less than) Y
- ∩ means X < Y
- £ means X > Y

**Statements: **J ∂ K; K ≅ L; L £ M;

**Conclusions: **

- L ≅ M
- J £ 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: b**

The statements can be translated to J ≥ K = L > M. Conclusion I translates to L = M. Conclusion II translates to J > M. 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 2

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

- Γ means X = Y
- £ means X ≤ Y
- √ means X ≥ Y
- ≅ means X < Y
- ® means X > Y

**Statements: **B Γ C; C ≅ D; D ≅ E; E ® F;

**Conclusions: **

- F ® C
- E ® B
- B ≅ F

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 ≮ (not less than) Y
- ⊗ means X < Y
- ρ means X > Y

**Statements: **L § M; M ⊗ N; N $ O;

**Conclusions: **

- L ⊗ O
- N ρ L

**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 L ≤ M < N = O. Conclusion I translates to L < O. Conclusion II translates to N > L. 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 4

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

- ω means X = Y
- λ means X ≤ Y
- Θ means X ≥ Y
- ∅ means X < Y
- ∩ means X > Y

**Statements: **T ∩ U; U ω V; V ∩ W;

**Conclusions: **

- T ω W
- U ∩ W

**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 T > U = V > W. Conclusion I translates to T = W. Conclusion II translates to U > W. 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.

- λ means X = Y
- µ means X ≯ (not more than) Y
- ® means X ≥ Y
- Γ means X < Y
- © means X > Y

**Statements: **L ® M; M Γ N; N µ O;

**Conclusions: **

- M © O
- L © O

**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 M > O. Conclusion II translates to L > O. So we can see that neither I nor II is true.

### More Chapters | See All...

Matrix Test | Statements and Assumptions | Verification of truth | Ranking Test | Probability | Statements and Conclusions | Areas | Deductive Reasoning | Distance and Time | Essential Part | More...

This Blog Post/Article "Inequalities Quiz Set 030" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2019-08-18.