Correct Answers: | |
Wrong Answers: | |
Unattempted: |
Question 1
In a certain language different symbols represent different operators as follows.
- ∃ means X = Y
- % means X ≤ Y
- Ω means X ≮ (not less than) Y
- ⊗ means X < Y
- £ means X > Y
Statements: N Ω O; O £ P; P ⊗ Q;
Conclusions:
- N £ P
- O Ω Q
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 N ≥ O > P < Q. Conclusion I translates to N > P. 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 2
In a certain language different symbols represent different operators as follows.
- ∧ means X = Y
- √ means X ≤ Y
- ∩ means X ≥ Y
- $ means X < Y
- ⊗ means X > Y
Statements: I $ J; J ⊗ K; K √ L;
Conclusions:
- I ⊗ K
- I $ L
both I and II are true.
only conclusion II is true.
only conclusion I is true.
neither I nor II is true.
Ans: d
The statements can be translated to I < J > K ≤ L. Conclusion I translates to I > K. Conclusion II translates to I < L. 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
- Ξ means X ≯ (not more than) Y
- η means X ≮ (not less than) Y
- ¢ means X < Y
- ∃ means X > Y
Statements: F ¢ G; G @ H; H ∃ I;
Conclusions:
- F ¢ I
- G ∃ I
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 F < G = H > I. Conclusion I translates to F < I. Conclusion II translates to G > I. 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.
- ® means X = Y
- ρ means X ≤ Y
- « means X ≮ (not less than) Y
- ω means X < Y
- ⊗ means X > Y
Statements: L ρ M; M ω N; N ρ O;
Conclusions:
- L ⊗ N
- O ω L
both I and II are true.
only conclusion II is true.
only conclusion I is true.
neither I nor II is true.
Ans: d
The statements can be translated to L ≤ M < N ≤ O. Conclusion I translates to L > N. Conclusion II translates to O < L. 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 5
In a certain language different symbols represent different operators as follows.
- ∀ means X = Y
- Γ means X ≤ Y
- η means X ≥ Y
- ∅ means X < Y
- £ means X > Y
Statements: H £ I; I ∀ J; J ∅ K; K ∀ L;
Conclusions:
- L £ I
- I ∅ K
- J £ H
Which of the above conclusions is/are true?
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This Blog Post/Article "Inequalities Quiz Set 024" 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