Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

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

- √ means X = Y
- % means X ≤ Y
- Δ means X ≥ Y
- ¥ means X < Y
- ∑ means X > Y

**Statements: **E ¥ F; F √ G; G √ H; H √ I;

**Conclusions: **

- H ∑ E
- G ¥ I
- E √ G

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
- ∀ means X > Y

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

**Conclusions: **

- S ⊗ P
- P ∀ T
- R ⊗ P

Which of the above conclusions is/are true?

### Question 3

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

- √ means X = Y
- Δ means X ≤ Y
- Ω means X ≮ (not less than) Y
- $ means X < Y
- £ means X > Y

**Statements: **R √ S; S $ T; T Δ U;

**Conclusions: **

- R £ U
- T $ R

**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 R = S < T ≤ U. Conclusion I translates to R > U. Conclusion II translates to T < R. 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 4

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

- Ω means X = Y
- Ξ means X ≤ Y
- ρ means X ≥ Y
- © means X < Y
- Θ means X > Y

**Statements: **Q Ω R; R Ω S; S Θ T; T Ω U;

**Conclusions: **

- T © Q
- R Θ U
- Q Ω S

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
- η means X < Y
- ∃ means X > Y

**Statements: **J § K; K ∃ L; L ∃ M; M § N;

**Conclusions: **

- L ∃ J
- J ∃ N
- L ∃ N

Which of the above conclusions is/are true?

### More Chapters | See All...

Averages | Areas | Direction Sense Test | Sitting Arrangements | Essential Part | Blood Relations | Problems on Ages | Passwords and Inputs | Permutations and Combinations | Problems on Trains | More...

This Blog Post/Article "Inequalities Quiz Set 008" 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