Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

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

- Ξ means X = Y
- ∩ means X ≤ Y
- ⊗ means X ≮ (not less than) Y
- ≅ means X < Y
- ¢ means X > Y

**Statements: **L ∩ M; M ≅ N; N ¢ O;

**Conclusions: **

- L Ξ O
- L ≅ N

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

- % means X = Y
- ∑ means X ≤ Y
- Γ means X ≥ Y
- Δ means X < Y
- ∏ means X > Y

**Statements: **Q % R; R ∏ S; S Δ T; T Δ U;

**Conclusions: **

- R ∏ T
- S ∏ Q
- Q ∏ U

Which of the above conclusions is/are true?

### Question 3

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

- ∑ means X = Y
- η means X ≯ (not more than) Y
- @ means X ≮ (not less than) Y
- λ means X < Y
- Δ means X > Y

**Statements: **J @ K; K ∑ L; L @ M;

**Conclusions: **

- J ∑ L
- J Δ K

**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 J ≥ K = L ≥ M. Conclusion I translates to J = L. Conclusion II translates to J > K. 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
- ∑ means X ≤ Y
- ⊕ means X ≥ Y
- ⊗ means X < Y
- ∧ means X > Y

**Statements: **M ∧ N; N © O; O © P; P ∧ Q;

**Conclusions: **

- N ∧ Q
- M ∧ Q
- M ∧ P

Which of the above conclusions is/are true?

### Question 5

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

- £ means X = Y
- % means X ≤ Y
- ® means X ≥ Y
- ∅ means X < Y
- µ means X > Y

**Statements: **G £ H; H £ I; I ∅ J; J £ K;

**Conclusions: **

- J µ G
- G £ I
- I £ K

Which of the above conclusions is/are true?

### More Chapters | See All...

Basic Simplification | Coding Decoding | Image Series | Verification of truth | Blood Relations | Bricks and Blocks | Problems on Numbers | Surds and Indices | Cubes and Dice | Inequalities | More...

This Blog Post/Article "Inequalities Quiz Set 021" 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