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
- ® means X < Y
- √ means X > Y

**Statements: **K √ L; L √ M; M √ N;

**Conclusions: **

- K ® M
- 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 K > L > M > N. Conclusion I translates to K < M. 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
- ⊗ means X ≥ Y
- @ means X < Y
- ∇ means X > Y

**Statements: **L ∇ M; M ∇ N; N @ O; O @ P;

**Conclusions: **

- M ∇ O
- L ∇ O
- P ∇ N

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 ≯ (not more than) Y
- ® means X ≥ Y
- ∏ means X < Y
- £ means X > Y

**Statements: **G ® H; H £ I; I £ J;

**Conclusions: **

- G Δ J
- G £ 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 G > 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 4

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

- « means X = Y
- ⊗ means X ≤ Y
- ∧ means X ≥ Y
- ω means X < Y
- ∇ means X > Y

**Statements: **S « T; T « U; U ∇ V; V ω W;

**Conclusions: **

- S ∇ V
- V ω T
- S ∇ W

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
- µ means X < Y
- η means X > Y

**Statements: **M @ N; N @ O; O η P; P η Q;

**Conclusions: **

- Q µ N
- N η P
- O µ M

Which of the above conclusions is/are true?

### More Chapters | See All...

Paper Cutting | Percentages | Coding Decoding | Volume and Surface Areas | Distance and Time | Problems on Numbers | Deductive Reasoning | Cubes and Dice | Analogies | Square and Cube Roots | More...

This Blog Post/Article "Inequalities Quiz Set 036" 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