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: **P ¢ Q; Q ¢ R; R ⊗ S; S ∩ T;

**Conclusions: **

- Q ⊗ S
- S ∩ P
- T ∩ P

Which of the above conclusions is/are true?

### Question 2

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

- ⊕ means X = Y
- § means X ≤ Y
- ≅ means X ≥ Y
- ® means X < Y
- η means X > Y

**Statements: **T ® U; U ® V; V η W; W η X;

**Conclusions: **

- X ® V
- U η X
- T ® X

Which of the above conclusions is/are true?

### Question 3

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

- Δ means X = Y
- √ means X ≤ Y
- $ means X ≥ Y
- ∩ means X < Y
- © means X > Y

**Statements: **H ∩ I; I © J; J ∩ K; K ∩ L;

**Conclusions: **

- K ∩ I
- H ∩ L
- K ∩ H

Which of the above conclusions is/are true?

### Question 4

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

- ≅ means X = Y
- Δ means X ≯ (not more than) Y
- ¥ means X ≥ Y
- $ means X < Y
- © means X > Y

**Statements: **G © H; H $ I; I © J;

**Conclusions: **

- G ≅ J
- H $ I

**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 G > H < I > J. Conclusion I translates to G = J. Conclusion II translates to H < I. 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.

- ω means X = Y
- « means X ≤ Y
- ≅ means X ≥ Y
- ∂ means X < Y
- ¥ means X > Y

**Statements: **M ∂ N; N ω O; O ¥ P; P ω Q;

**Conclusions: **

- O ¥ M
- O ¥ Q
- N ¥ P

Which of the above conclusions is/are true?

This Blog Post/Article "Inequalities Quiz Set 018" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2020-02-07. Published on: 2016-04-13