Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

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

- ¢ means X = Y
- ∅ means X ≤ Y
- Γ means X ≮ (not less than) Y
- @ means X < Y
- ⊗ means X > Y

**Statements: **R ¢ S; S ⊗ T; T ⊗ U;

**Conclusions: **

- S ¢ U
- R ⊗ U

**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 S = U. Conclusion II translates to R > U. 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
- µ means X ≤ Y
- Δ means X ≮ (not less than) Y
- § means X < Y
- √ means X > Y

**Statements: **B % C; C % D; D § E;

**Conclusions: **

- B § E
- C √ E

**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 B = C = D < E. Conclusion I translates to B < E. Conclusion II translates to C > E. 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 3

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

- ω means X = Y
- Ξ means X ≯ (not more than) Y
- ⊕ means X ≮ (not less than) Y
- ® means X < Y
- λ means X > Y

**Statements: **O ⊕ P; P ω Q; Q λ R;

**Conclusions: **

- Q ω R
- O λ 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 O ≥ P = Q > R. Conclusion I translates to Q = R. Conclusion II translates to O > 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 4

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

- ω means X = Y
- Ξ means X ≯ (not more than) Y
- ⊗ means X ≥ Y
- £ means X < Y
- ∃ means X > Y

**Statements: **B £ C; C ∃ D; D ω E;

**Conclusions: **

- C ∃ E
- D £ C

**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 B < C > D = E. Conclusion I translates to C > E. Conclusion II translates to D < C. So we can see that both I and II are true.

### Question 5

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

- µ means X = Y
- ® means X ≯ (not more than) Y
- Γ means X ≥ Y
- Θ means X < Y
- $ means X > Y

**Statements: **Q Θ R; R Θ S; S ® T;

**Conclusions: **

- Q $ T
- S Θ 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 Q < R < S ≤ T. Conclusion I translates to Q > T. Conclusion II translates to S < Q. So we can see that neither I nor II is true.

### More Chapters | See All...

Cubes and Dice | Surds and Indices | Ranking Test | Passwords and Inputs | Time and Work | Probability | Bricks and Blocks | Partnerships | Stocks and Shares | Percentages | More...

This Blog Post/Article "Inequalities Quiz Set 011" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2020-01-14.