Inequalities Quiz Set 011

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Question 1

In a certain language different symbols represent different operators as follows.

  1. ¢ means X = Y
  2. ∅ means X ≤ Y
  3. Γ means X ≮ (not less than) Y
  4. @ means X < Y
  5. ⊗ means X > Y

Statements: R ¢ S; S ⊗ T; T ⊗ U;

Conclusions:

  1. S ¢ U
  2. R ⊗ U
 A

both I and II are true.

 B

only conclusion II is true.

 C

only conclusion I is true.

 D

either I or II can be true.

Soln.
Ans: b

The statements can be translated to R = S > T > U. Conclusion I translates to S = U. Conclusion II translates to R > U. 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 2

In a certain language different symbols represent different operators as follows.

  1. % means X = Y
  2. µ means X ≤ Y
  3. Δ means X ≮ (not less than) Y
  4. § means X < Y
  5. √ means X > Y

Statements: B % C; C % D; D § E;

Conclusions:

  1. B § E
  2. C √ E
 A

both I and II are true.

 B

only conclusion II is true.

 C

only conclusion I is true.

 D

either I or II can be true.

Soln.
Ans: c

The statements can be translated to B = C = D < E. Conclusion I translates to B < E. 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 ≥.


Question 3

In a certain language different symbols represent different operators as follows.

  1. ω means X = Y
  2. Ξ means X ≯ (not more than) Y
  3. ⊕ means X ≮ (not less than) Y
  4. ® means X < Y
  5. λ means X > Y

Statements: O ⊕ P; P ω Q; Q λ R;

Conclusions:

  1. Q ω R
  2. O λ R
 A

both I and II are true.

 B

only conclusion II is true.

 C

only conclusion I is true.

 D

either I or II can be true.

Soln.
Ans: b

The statements can be translated to O ≥ P = Q > R. Conclusion I translates to Q = R. Conclusion II translates to O > R. 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.

  1. ω means X = Y
  2. Ξ means X ≯ (not more than) Y
  3. ⊗ means X ≥ Y
  4. £ means X < Y
  5. ∃ means X > Y

Statements: B £ C; C ∃ D; D ω E;

Conclusions:

  1. C ∃ E
  2. D £ C
 A

both I and II are true.

 B

only conclusion II is true.

 C

only conclusion I is true.

 D

either I or II can be true.

Soln.
Ans: a

The statements can be translated to B < C > D = E. Conclusion I translates to C > E. Conclusion II translates to D < C. 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.

  1. µ means X = Y
  2. ® means X ≯ (not more than) Y
  3. Γ means X ≥ Y
  4. Θ means X < Y
  5. $ means X > Y

Statements: Q Θ R; R Θ S; S ® T;

Conclusions:

  1. Q $ T
  2. S Θ Q
 A

both I and II are true.

 B

only conclusion II is true.

 C

only conclusion I is true.

 D

neither I nor II is true.

Soln.
Ans: d

The statements can be translated to Q < R < S ≤ T. Conclusion I translates to Q > T. Conclusion II translates to S < 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 ≥.


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This Blog Post/Article "Inequalities Quiz Set 011" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2019-08-18.

Posted by Parveen(Hoven),
Aptitude Trainer


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