Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

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

- λ means X = Y
- £ means X ≤ Y
- ® means X ≥ Y
- ∀ means X < Y
- ∅ means X > Y

**Statements: **P ∅ Q; Q ∅ R; R ∅ S; S ∀ T;

**Conclusions: **

- T ∀ Q
- R ∀ P
- T ∀ R

Which of the above conclusions is/are true?

### Question 2

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

- ® means X = Y
- Ξ means X ≤ Y
- ⊕ means X ≮ (not less than) Y
- Θ means X < Y
- ⊗ means X > Y

**Statements: **Q ⊕ R; R Θ S; S Ξ T;

**Conclusions: **

- R ⊗ T
- Q ⊗ T

**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 Q ≥ R < S ≤ T. Conclusion I translates to R > T. Conclusion II translates to Q > T. 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 3

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

- η means X = Y
- ¥ means X ≯ (not more than) Y
- ⊕ means X ≥ Y
- $ means X < Y
- √ means X > Y

**Statements: **M ⊕ N; N η O; O η P;

**Conclusions: **

- M √ P
- N η 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 4

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

- ≅ means X = Y
- Ξ means X ≤ Y
- λ means X ≥ Y
- ∑ means X < Y
- ⊗ means X > Y

**Statements: **P ∑ Q; Q ∑ R; R ≅ S; S ≅ T;

**Conclusions: **

- R ⊗ T
- T ⊗ Q
- P ∑ S

Which of the above conclusions is/are true?

### Question 5

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

- λ means X = Y
- ∩ means X ≤ Y
- % means X ≥ Y
- $ means X < Y
- Ξ means X > Y

**Statements: **B λ C; C $ D; D $ E;

**Conclusions: **

- B $ D
- C Ξ E

**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 B = C < D < E. Conclusion I translates to B < D. Conclusion II translates to C > E. 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...

Classification Test | Alphabet Number Series | Matrix Test | Square and Cube Roots | Logarithms | Time and Work | Problems on Numbers | Course of Action | Verification of truth | abba Series | More...

This Blog Post/Article "Inequalities Quiz Set 004" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-04-07.