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### Question 1

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

- ∑ means X = Y
- Ω means X ≤ Y
- ® means X ≮ (not less than) Y
- Θ means X < Y
- @ means X > Y

**Statements: **L Ω M; M Θ N; N Θ O;

**Conclusions: **

- L Θ O
- N ∑ 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 L ≤ M < N < O. Conclusion I translates to L < O. Conclusion II translates to N = 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 2

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

- Θ means X = Y
- Γ means X ≤ Y
- ∇ means X ≮ (not less than) Y
- « means X < Y
- √ means X > Y

**Statements: **R Θ S; S « T; T √ U;

**Conclusions: **

- R Θ U
- T √ R

**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 R = S < T > U. Conclusion I translates to R = U. Conclusion II translates to T > R. 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 3

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

- ⊕ means X = Y
- ∅ means X ≤ Y
- § means X ≥ Y
- Ξ means X < Y
- ∏ means X > Y

**Statements: **Q Ξ R; R Ξ S; S ⊕ T; T ∏ U;

**Conclusions: **

- R Ξ U
- R Ξ T
- Q Ξ S

Which of the above conclusions is/are true?

### 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: **F ∑ G; G Ω H; H $ I; I Ω J;

**Conclusions: **

- F Ω J
- I $ F
- J Ω H

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
- Ω means X ≥ Y
- § means X < Y
- @ means X > Y

**Statements: **G @ H; H @ I; I § J; J § K;

**Conclusions: **

- G @ K
- H @ J
- H @ K

Which of the above conclusions is/are true?

This Blog Post/Article "Inequalities Quiz Set 046" 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