Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

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

- ® means X = Y
- ∑ means X ≯ (not more than) Y
- $ means X ≮ (not less than) Y
- η means X < Y
- Δ means X > Y

**Statements: **D Δ E; E Δ F; F ® G;

**Conclusions: **

- D Δ G
- D Δ F

**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 D > E > F = G. Conclusion I translates to D > G. Conclusion II translates to D > F. 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
- ρ means X ≥ Y
- @ means X < Y
- Γ means X > Y

**Statements: **B ∃ C; C ∃ D; D ρ E;

**Conclusions: **

- B ∃ E
- C Γ 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: d**

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 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 3

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

- Ω means X = Y
- ∩ means X ≤ Y
- Ξ means X ≥ Y
- √ means X < Y
- ∃ means X > Y

**Statements: **J ∃ K; K √ L; L Ω M; M √ N;

**Conclusions: **

- K √ M
- L √ J
- M √ J

Which of the above conclusions is/are true?

### Question 4

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

- § means X = Y
- ω means X ≤ Y
- ρ means X ≮ (not less than) Y
- λ means X < Y
- Γ means X > Y

**Statements: **H ω I; I Γ J; J λ K;

**Conclusions: **

- J λ K
- J λ H

**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 H ≤ I > J < K. Conclusion I translates to J < K. Conclusion II translates to J < H. 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 5

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

- ⊕ means X = Y
- « means X ≤ Y
- ∧ means X ≮ (not less than) Y
- Γ means X < Y
- ∏ means X > Y

**Statements: **Q ∧ R; R ∏ S; S ⊕ T;

**Conclusions: **

- Q Γ 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: a**

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 both I and II are true.

### More Chapters | See All...

Square and Cube Roots | Compound Interest | Coding Decoding | Simple Interest | Problems on Trains | Decimal Numbers | Image Series | Distance and Time | Classification Test | Percentages | More...

This Blog Post/Article "Inequalities Quiz Set 040" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2019-08-18.