Inequalities Quiz Set 016

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Question 1

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

  1. Γ means X = Y
  2. η means X ≯ (not more than) Y
  3. © means X ≮ (not less than) Y
  4. √ means X < Y
  5. ∅ means X > Y

Statements: D η E; E Γ F; F η G;

Conclusions:

  1. D ∅ F
  2. G √ D
 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 D ≤ E = F ≤ G. Conclusion I translates to D > F. Conclusion II translates to G < D. 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 2

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

  1. Γ means X = Y
  2. ∇ means X ≤ Y
  3. % means X ≥ Y
  4. ∏ means X < Y
  5. ∂ means X > Y

Statements: B Γ C; C Γ D; D ∏ E; E Γ F;

Conclusions:

  1. F ∂ D
  2. B ∏ E
  3. B ∂ D

Which of the above conclusions is/are true?

 A

both I and II.

 B

I only.

 C

II only.

 D

III only.

Soln.
Ans: a

The statements can be translated to B = C = D < E = F.

The conclusions translate to:

  1. F > D(True)
  2. B < E(True)
  3. B > D(False)

Question 3

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

  1. $ means X = Y
  2. Θ means X ≤ Y
  3. λ means X ≮ (not less than) Y
  4. Ω means X < Y
  5. ∀ means X > Y

Statements: R $ S; S Ω T; T λ U;

Conclusions:

  1. T $ U
  2. T ∀ 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: d

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

  1. ≅ means X = Y
  2. Γ means X ≤ Y
  3. η means X ≥ Y
  4. ∇ means X < Y
  5. µ means X > Y

Statements: T µ U; U µ V; V Γ W;

Conclusions:

  1. T ∇ W
  2. V µ T
 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 T > U > V ≤ W. Conclusion I translates to T < W. Conclusion II translates to V > T. 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.

  1. ∃ means X = Y
  2. ∅ means X ≤ Y
  3. Ω means X ≥ Y
  4. @ means X < Y
  5. ω means X > Y

Statements: B ω C; C @ D; D ω E; E ω F;

Conclusions:

  1. C @ F
  2. B ω D
  3. D @ F

Which of the above conclusions is/are true?

 A

Neither of the three.

 B

I only.

 C

II only.

 D

III only.

Soln.
Ans: a

The statements can be translated to B > C < D > E > F.

The conclusions translate to:

  1. C < F(False)
  2. B > D(False)
  3. D < F(False)

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This Blog Post/Article "Inequalities Quiz Set 016" 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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