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
- ∃ means X < Y
- Ξ means X > Y
Statements: F ∃ G; G ∃ H; H Ξ I; I Ξ J;
Conclusions:
- H ∃ F
- I Ξ G
- J ∃ H
Which of the above conclusions is/are true?
Question 2
In a certain language different symbols represent different operators as follows.
- ∅ means X = Y
- Γ means X ≯ (not more than) Y
- Ω means X ≥ Y
- « means X < Y
- ∩ means X > Y
Statements: M ∩ N; N « O; O ∩ P;
Conclusions:
- M ∅ P
- N « O
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 M > N < O > P. Conclusion I translates to M = P. Conclusion II translates to N < O. 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 3
In a certain language different symbols represent different operators as follows.
- ≅ means X = Y
- Ξ means X ≤ Y
- λ means X ≥ Y
- ∑ means X < Y
- ⊗ means X > Y
Statements: P ∑ Q; Q ∑ R; R ≅ S; S ≅ T;
Conclusions:
- R ⊗ T
- T ⊗ Q
- P ∑ S
Which of the above conclusions is/are true?
Question 4
In a certain language different symbols represent different operators as follows.
- ω means X = Y
- ∏ means X ≤ Y
- ∑ means X ≥ Y
- % means X < Y
- ⊗ means X > Y
Statements: B ω C; C % D; D ω E;
Conclusions:
- B % E
- C % D
both I and II are true.
only conclusion II is true.
only conclusion I is true.
either I or II can be true.
Ans: a
The statements can be translated to B = C < D = E. Conclusion I translates to B < E. Conclusion II translates to C < D. 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 5
In a certain language different symbols represent different operators as follows.
- Δ means X = Y
- ∇ means X ≯ (not more than) Y
- λ means X ≥ Y
- £ means X < Y
- ∂ means X > Y
Statements: B £ C; C £ D; D £ E;
Conclusions:
- B £ D
- C λ E
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 B < C < D < E. Conclusion I translates to B < D. Conclusion II translates to C ≥ E. 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 ≥.
This Blog Post/Article "Inequalities Quiz Set 027" 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