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Question 1
In a certain language different symbols represent different operators as follows.
- Ω means X = Y
- η means X ≯ (not more than) Y
- ∏ means X ≮ (not less than) Y
- ρ means X < Y
- √ means X > Y
Statements: F Ω G; G ρ H; H ∏ I;
Conclusions:
- H Ω I
- H √ 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: d
The statements can be translated to F = G < H ≥ I. Conclusion I translates to H = I. Conclusion II translates to H > I. 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.
- Δ means X = Y
- @ means X ≯ (not more than) Y
- ⊗ means X ≥ Y
- ® means X < Y
- ∧ means X > Y
Statements: B ® C; C ® D; D Δ E;
Conclusions:
- B ® D
- D ∧ B
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 > B. 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.
- ∃ means X = Y
- ∩ means X ≤ Y
- ⊕ means X ≥ Y
- £ means X < Y
- ρ means X > Y
Statements: S ∩ T; T £ U; U ⊕ V;
Conclusions:
- S ρ V
- S £ 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 S < 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 4
In a certain language different symbols represent different operators as follows.
- % means X = Y
- @ means X ≯ (not more than) Y
- ¥ means X ≮ (not less than) Y
- ρ means X < Y
- η means X > Y
Statements: J ¥ K; K % L; L ρ M;
Conclusions:
- J η L
- K ¥ M
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 J ≥ K = L < M. Conclusion I translates to J > L. Conclusion II translates to K ≥ M. 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 5
In a certain language different symbols represent different operators as follows.
- ρ means X = Y
- η means X ≤ Y
- Γ means X ≮ (not less than) Y
- « means X < Y
- Ω means X > Y
Statements: N Γ O; O Ω P; P η Q;
Conclusions:
- O Ω Q
- N Ω Q
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 N ≥ O > P ≤ Q. Conclusion I translates to O > Q. Conclusion II translates to N > Q. 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 ≥.
This Blog Post/Article "Inequalities Quiz Set 035" 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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