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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
- Ω means X > Y
Statements: S ∂ T; T ∂ U; U § V;
Conclusions:
- S ∂ V
- T Ω V
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 S = T = U ≥ V. Conclusion I translates to S = V. Conclusion II translates to T > V. 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
- Ξ means X < Y
- √ means X > Y
Statements: B ∇ C; C ∇ D; D ∇ E;
Conclusions:
- B ∇ D
- D ∇ 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: a
The statements can be translated to B = C = D = E. Conclusion I translates to B = D. Conclusion II translates to D = E. 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.
- µ means X = Y
- ∧ means X ≤ Y
- ∀ means X ≮ (not less than) Y
- Ξ means X < Y
- § means X > Y
Statements: N ∀ O; O § P; P § Q;
Conclusions:
- N µ Q
- N § 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: b
The statements can be translated to N ≥ O > P > Q. Conclusion I translates to N = Q. Conclusion II translates to N > 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.
- £ means X = Y
- ω means X ≤ Y
- ∂ means X ≥ Y
- ∏ means X < Y
- ⊗ means X > Y
Statements: A ∏ B; B £ C; C ⊗ D; D £ E;
Conclusions:
- A ∏ D
- B ⊗ E
- A £ C
Which of the above conclusions is/are true?
Question 5
In a certain language different symbols represent different operators as follows.
- ω means X = Y
- η means X ≯ (not more than) Y
- Γ means X ≮ (not less than) Y
- ¢ means X < Y
- µ means X > Y
Statements: N ¢ O; O µ P; P ω Q;
Conclusions:
- O µ Q
- P ¢ 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: a
The statements can be translated to N < O > P = Q. Conclusion I translates to O > Q. Conclusion II translates to P < O. 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 ≥.
This Blog Post/Article "Inequalities Quiz Set 003" 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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