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 ≥ Y
- ∅ means X < Y
- ω means X > Y

**Statements: **C ω D; D ∏ E; E ∏ F;

**Conclusions: **

- C ω F
- D ∏ 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 C > D = E = F. Conclusion I translates to C > F. 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.

- µ means X = Y
- $ means X ≤ Y
- ® means X ≥ Y
- % means X < Y
- ∀ means X > Y

**Statements: **R µ S; S µ T; T ∀ U; U ∀ V;

**Conclusions: **

- R µ T
- U % S
- R ∀ V

Which of the above conclusions is/are true?

### Question 3

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

- Ω means X = Y
- ∑ means X ≯ (not more than) Y
- ⊕ means X ≮ (not less than) Y
- ∇ means X < Y
- Δ means X > Y

**Statements: **F Ω G; G Δ H; H ∑ I;

**Conclusions: **

- F Δ I
- H ∇ F

**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 F = G > H ≤ I. Conclusion I translates to F > I. Conclusion II translates to H < F. So we can see that neither I nor 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.

- Δ means X = Y
- ∧ means X ≤ Y
- £ means X ≮ (not less than) Y
- Ξ means X < Y
- Ω means X > Y

**Statements: **H ∧ I; I Ω J; J Ω K;

**Conclusions: **

- H Δ K
- I Ω K

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

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

- § means X = Y
- ® means X ≤ Y
- λ means X ≥ Y
- η means X < Y
- % means X > Y

**Statements: **I § J; J % K; K % L; L § M;

**Conclusions: **

- M η I
- J % M
- L η I

Which of the above conclusions is/are true?

### More Chapters | See All...

Problems on Numbers | Matrix Test | Pipes and Cisterns | HCF and LCM | Course of Action | Square and Cube Roots | Stocks and Shares | Essential Part | Time and Work | Paper Cutting | More...

This Blog Post/Article "Inequalities Quiz Set 005" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-04-07.