Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

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

- £ means X = Y
- ∏ means X ≤ Y
- ρ means X ≮ (not less than) Y
- ∅ means X < Y
- Θ means X > Y

**Statements: **H ∏ I; I Θ J; J ∏ K;

**Conclusions: **

- H ∅ K
- I ∅ J

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

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

- § means X = Y
- ∇ means X ≤ Y
- ⊕ means X ≥ Y
- ¥ means X < Y
- % means X > Y

**Statements: **N % O; O % P; P ¥ Q; Q § R;

**Conclusions: **

- Q ¥ O
- P ¥ R
- R ¥ N

Which of the above conclusions is/are true?

### Question 3

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

- ⊕ means X = Y
- $ means X ≤ Y
- « means X ≥ Y
- © means X < Y
- ∏ means X > Y

**Statements: **B © C; C © D; D ⊕ E; E ⊕ F;

**Conclusions: **

- F ∏ C
- B © D
- B © F

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 ≯ (not more than) Y
- η means X ≮ (not less than) Y
- ∇ means X < Y
- ∀ means X > Y

**Statements: **J η K; K £ L; L ∂ M;

**Conclusions: **

- J ∇ L
- J ∀ M

**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 J ≥ K = L ≤ M. Conclusion I translates to J < L. Conclusion II translates to J > M. 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 5

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

- ¢ means X = Y
- ⊗ means X ≯ (not more than) Y
- η means X ≥ Y
- « means X < Y
- Θ means X > Y

**Statements: **M ⊗ N; N Θ O; O η P;

**Conclusions: **

- O « M
- M Θ O

**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 M ≤ N > O ≥ P. Conclusion I translates to O < M. Conclusion II translates to M > O. 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 ≥.

### More Chapters | See All...

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This Blog Post/Article "Inequalities Quiz Set 042" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2019-08-18.