Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

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

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

**Statements: **H ∅ I; I « J; J @ K;

**Conclusions: **

- I « K
- J ⊗ I

**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 H ≤ I > J = K. Conclusion I translates to I > K. Conclusion II translates to J < I. 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 2

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

- ∃ means X = Y
- ∩ means X ≤ Y
- Ω means X ≮ (not less than) Y
- ∇ means X < Y
- ρ means X > Y

**Statements: **Q Ω R; R ∇ S; S ρ T;

**Conclusions: **

- S ∃ T
- S ρ 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 S = T. Conclusion II translates to S > T. 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
- µ means X ≤ Y
- § means X ≥ Y
- Δ means X < Y
- © means X > Y

**Statements: **G Δ H; H © I; I © J; J Δ K;

**Conclusions: **

- J Δ H
- K Δ I
- K © G

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
- Δ means X ≮ (not less than) Y
- % means X < Y
- λ means X > Y

**Statements: **Q Δ R; R % S; S Δ T;

**Conclusions: **

- Q % T
- T % 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: d**

The statements can be translated to Q ≥ R < S ≥ T. Conclusion I translates to Q < T. Conclusion II translates to T < Q. So we can see that either I or II can be 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.

- Ω means X = Y
- ∇ means X ≤ Y
- ∅ means X ≥ Y
- Θ means X < Y
- ∏ means X > Y

**Statements: **A ∏ B; B ∏ C; C ∏ D; D ∏ E;

**Conclusions: **

- C ∏ E
- C ∏ A
- E Θ B

Which of the above conclusions is/are true?

### More Chapters | See All...

Problems on Trains | Verification of truth | Profit and Loss | Areas | Square and Cube Roots | Cubes and Dice | Time and Work | Inequalities | abba Series | Direction Sense Test | More...

This Blog Post/Article "Inequalities Quiz Set 004" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-10-26.