Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

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

- ∂ means X = Y
- ∏ means X ≤ Y
- Ξ means X ≥ Y
- √ means X < Y
- ∇ means X > Y

**Statements: **T ∇ U; U ∂ V; V √ W;

**Conclusions: **

- T ∇ V
- U Ξ 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: c**

The statements can be translated to T > U = V < W. Conclusion I translates to T > V. Conclusion II translates to U ≥ W. 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 ≥.

### Question 2

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

- Θ means X = Y
- ⊗ means X ≯ (not more than) Y
- ∀ means X ≮ (not less than) Y
- ∧ means X < Y
- Δ means X > Y

**Statements: **N ∧ O; O Δ P; P ⊗ Q;

**Conclusions: **

- N Δ P
- N ∧ Q

**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 N < O > P ≤ Q. Conclusion I translates to N > P. Conclusion II translates to N < Q. 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.

- ∩ means X = Y
- ≅ means X ≤ Y
- ¢ means X ≥ Y
- η means X < Y
- ∏ means X > Y

**Statements: **I η J; J ∏ K; K η L;

**Conclusions: **

- I η J
- J η 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: c**

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

### 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: **J ⊗ K; K ⊗ L; L ∩ M; M ∩ N;

**Conclusions: **

- M % K
- N ∩ L
- J ∩ M

Which of the above conclusions is/are true?

### Question 5

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

- √ means X = Y
- λ means X ≤ Y
- £ means X ≥ Y
- $ means X < Y
- ∇ means X > Y

**Statements: **D $ E; E $ F; F ∇ G; G $ H;

**Conclusions: **

- F ∇ H
- G ∇ E
- D $ H

Which of the above conclusions is/are true?

### More Chapters | See All...

Decimal Numbers | Ranking Test | Verification of truth | Data Sufficiency | Blood Relations | Coding Decoding | Image Series | Analogies | Boats and Streams | Profit and Loss | More...

This Blog Post/Article "Inequalities Quiz Set 038" 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