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Wrong Answers: | |

Unattempted: |

### Question 1

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

- ® means X = Y
- µ means X ≯ (not more than) Y
- ¥ means X ≥ Y
- ∅ means X < Y
- ∧ means X > Y

**Statements: **L ¥ M; M ∅ N; N ¥ O;

**Conclusions: **

- L ∅ O
- O ∅ L

**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 L ≥ M < N ≥ O. Conclusion I translates to L < O. Conclusion II translates to O < L. 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 2

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

- $ means X = Y
- ∏ means X ≤ Y
- ∇ means X ≮ (not less than) Y
- Δ means X < Y
- @ means X > Y

**Statements: **K @ L; L @ M; M ∏ N;

**Conclusions: **

- K Δ N
- M @ K

**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 K > L > M ≤ N. Conclusion I translates to K < N. Conclusion II translates to M > K. 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 3

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

- % means X = Y
- Θ means X ≤ Y
- « means X ≮ (not less than) Y
- ⊕ means X < Y
- ∃ means X > Y

**Statements: **M % N; N ∃ O; O ∃ P;

**Conclusions: **

- N % P
- M ∃ 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: b**

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

- µ means X = Y
- ⊕ means X ≯ (not more than) Y
- ¥ means X ≮ (not less than) Y
- ∏ means X < Y
- √ means X > Y

**Statements: **O ¥ P; P µ Q; Q µ R;

**Conclusions: **

- O √ R
- P µ R

**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 O ≥ P = Q = R. Conclusion I translates to O > R. Conclusion II translates to P = R. So we can see that both I and II are true.

### Question 5

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

- ∩ means X = Y
- © means X ≤ Y
- ∑ means X ≥ Y
- « means X < Y
- µ means X > Y

**Statements: **K ∩ L; L µ M; M ∩ N; N ∩ O;

**Conclusions: **

- O « K
- L µ O
- K « M

Which of the above conclusions is/are 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 2020-02-07. Published on: 2016-04-13