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
- Ξ means X < Y
- ∏ means X > Y

**Statements: **Q Ξ R; R Ξ S; S ⊕ T; T ∏ U;

**Conclusions: **

- R Ξ U
- R Ξ T
- Q Ξ S

Which of the above conclusions is/are true?

### Question 2

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

- ∑ means X = Y
- Δ means X ≤ Y
- µ means X ≮ (not less than) Y
- √ means X < Y
- ¢ means X > Y

**Statements: **M ∑ N; N ¢ O; O µ P;

**Conclusions: **

- O ∑ P
- O ¢ P

**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 = P. Conclusion II translates to O > P. 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.

- Δ means X = Y
- ® means X ≤ Y
- © means X ≮ (not less than) Y
- ∂ means X < Y
- « means X > Y

**Statements: **B Δ C; C Δ D; D « E;

**Conclusions: **

- B Δ 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: b**

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 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.

- η means X = Y
- £ means X ≤ Y
- Θ means X ≮ (not less than) Y
- ∩ means X < Y
- ∇ means X > Y

**Statements: **B £ C; C η D; D ∇ E;

**Conclusions: **

- B η E
- B ∩ D

**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 B ≤ C = D > E. Conclusion I translates to B = E. Conclusion II translates to B < D. 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 ≯ (not more than) Y
- ∀ means X ≥ Y
- Γ means X < Y
- ≅ means X > Y

**Statements: **L ∀ M; M Γ N; N ≅ O;

**Conclusions: **

- N ∏ O
- N ≅ 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: b**

The statements can be translated to L ≥ M < N > O. Conclusion I translates to N = O. Conclusion II translates to N > O. So we can see that only conclusion II is true.

### More Chapters | See All...

Blood Relations | Distance and Time | Problems on Ages | Logarithms | Profit and Loss | Pipes and Cisterns | Averages | Analogies | Ratio and Proportion | Cubes and Dice | More...

This Blog Post/Article "Inequalities Quiz Set 002" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-04-07.