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Question 1
In a certain language different symbols represent different operators as follows.
- ∇ means X = Y
- Δ means X ≤ Y
- η means X ≥ Y
- @ means X < Y
- ρ means X > Y
Statements: B ρ C; C ρ D; D @ E; E ∇ F;
Conclusions:
- F ρ D
- C ρ F
- B ρ F
Which of the above conclusions is/are true?
Question 2
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: G £ H; H ∃ I; I ∑ J;
Conclusions:
- G ∃ I
- H £ J
both I and II are true.
only conclusion II is true.
only conclusion I is true.
either I or II can be true.
Ans: c
The statements can be translated to G ≥ H > I < J. Conclusion I translates to G > I. Conclusion II translates to H ≥ J. 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 3
In a certain language different symbols represent different operators as follows.
- ⊕ means X = Y
- ω means X ≯ (not more than) Y
- Δ means X ≥ Y
- µ means X < Y
- « means X > Y
Statements: M « N; N µ O; O Δ P;
Conclusions:
- O « P
- O ⊕ P
both I and II are true.
only conclusion II is true.
only conclusion I is true.
either I or II can be true.
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 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
both I and II are true.
only conclusion II is true.
only conclusion I is true.
either I or II can be true.
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
- ⊗ means X ≥ Y
- ω means X < Y
- ® means X > Y
Statements: G ⊕ H; H ® I; I ω J; J ω K;
Conclusions:
- K ω H
- J ω G
- I ω K
Which of the above conclusions is/are true?
This Blog Post/Article "Inequalities Quiz Set 029" 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
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