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: **K √ L; L √ M; M √ N;

**Conclusions: **

- K ® M
- L √ N

**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 K > L > M > N. Conclusion I translates to K < M. Conclusion II translates to L > N. 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 2

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

- ∀ means X = Y
- Ω means X ≯ (not more than) Y
- ⊕ means X ≮ (not less than) Y
- ® means X < Y
- Θ means X > Y

**Statements: **F ∀ G; G Θ H; H ∀ I;

**Conclusions: **

- F Θ H
- I ® G

**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 F = G > H = I. Conclusion I translates to F > H. Conclusion II translates to I < G. 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 3

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

- ω means X = Y
- ∩ means X ≤ Y
- ∑ means X ≥ Y
- λ means X < Y
- Δ means X > Y

**Statements: **T λ U; U λ V; V ω W; W ω X;

**Conclusions: **

- U λ X
- V ω X
- T λ V

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
- £ means X ≥ Y
- ∧ means X < Y
- ∀ means X > Y

**Statements: **N √ O; O √ P; P ∧ Q;

**Conclusions: **

- N ∧ Q
- O ∀ 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: c**

The statements can be translated to N = O = P < Q. Conclusion I translates to N < Q. Conclusion II translates to O > Q. 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.

- λ means X = Y
- µ means X ≯ (not more than) Y
- ® means X ≥ Y
- Γ means X < Y
- © means X > Y

**Statements: **L ® M; M Γ N; N µ O;

**Conclusions: **

- M © O
- L © O

**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 L ≥ M < N ≤ O. Conclusion I translates to M > O. Conclusion II translates to L > O. So we can see that neither I nor II is true.

This Blog Post/Article "Inequalities Quiz Set 013" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-04-07.