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### Question 1

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

- √ means X = Y
- ¢ means X ≯ (not more than) Y
- £ means X ≥ Y
- ∧ means X < Y
- ∀ means X > Y

**Statements: **N √ O; O √ P; P ∧ Q;

**Conclusions: **

- N ∧ Q
- O ∀ Q

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

- ρ means X = Y
- ∂ means X ≯ (not more than) Y
- ≅ means X ≮ (not less than) Y
- ∇ means X < Y
- √ means X > Y

**Statements: **R ∂ S; S ρ T; T ρ U;

**Conclusions: **

- S ρ U
- R ∇ T

**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: a**

The statements can be translated to R ≤ S = T = U. Conclusion I translates to S = U. Conclusion II translates to R < T. So we can see that both I and II are 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
- ω means X ≤ Y
- √ means X ≥ Y
- ⊗ means X < Y
- ¥ means X > Y

**Statements: **A ¥ B; B © C; C © D; D ¥ E;

**Conclusions: **

- A ¥ E
- A ¥ D
- A ¥ C

Which of the above conclusions is/are true?

### Question 4

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

- λ means X = Y
- « means X ≤ Y
- ∀ means X ≥ Y
- $ means X < Y
- Ξ means X > Y

**Statements: **T Ξ U; U Ξ V; V λ W;

**Conclusions: **

- T Ξ W
- T Ξ V

**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: a**

The statements can be translated to T > U > V = W. Conclusion I translates to T > W. Conclusion II translates to T > V. So we can see that both I and II are 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.

- Δ means X = Y
- √ means X ≯ (not more than) Y
- ρ means X ≮ (not less than) Y
- ® means X < Y
- ∏ means X > Y

**Statements: **Q ∏ R; R Δ S; S ∏ T;

**Conclusions: **

- Q Δ T
- R ∏ T

**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 Q > R = S > T. Conclusion I translates to Q = T. Conclusion II translates to R > T. So we can see that only conclusion II is true.

This Blog Post/Article "Inequalities Quiz Set 044" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2020-01-14.