Inequalities Quiz Set 041

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Question 1

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

  1. η means X = Y
  2. ω means X ≤ Y
  3. Ω means X ≥ Y
  4. % means X < Y
  5. ∧ means X > Y

Statements: A ∧ B; B η C; C ∧ D; D η E;

Conclusions:

  1. C ∧ E
  2. E % A
  3. A ∧ C

Which of the above conclusions is/are true?

 A

All.

 B

both I and II.

 C

II only.

 D

both II and III.

Soln.
Ans: a

The statements can be translated to A > B = C > D = E.

The conclusions translate to:

  1. C > E(True)
  2. E < A(True)
  3. A > C(True)

Question 2

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. ® means X > Y

Statements: J § K; K @ L; L § M;

Conclusions:

  1. J § L
  2. K ω M
 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 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 3

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

  1. © means X = Y
  2. ∅ means X ≯ (not more than) Y
  3. ⊕ means X ≮ (not less than) Y
  4. ∀ means X < Y
  5. § means X > Y

Statements: D ∅ E; E © F; F § G;

Conclusions:

  1. D © G
  2. D ∀ F
 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 D ≤ E = F > G. Conclusion I translates to D = G. Conclusion II translates to D < F. 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. ∑ means X ≯ (not more than) Y
  3. ⊕ means X ≮ (not less than) Y
  4. ∇ means X < Y
  5. Δ means X > Y

Statements: F Ω G; G Δ H; H ∑ I;

Conclusions:

  1. F Δ I
  2. H ∇ F
 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 F = G > H ≤ I. Conclusion I translates to F > I. Conclusion II translates to H < F. 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. Γ means X ≯ (not more than) Y
  3. ⊗ means X ≥ Y
  4. ∧ means X < Y
  5. η means X > Y

Statements: B ∧ C; C ∧ D; D ⊗ E;

Conclusions:

  1. D η E
  2. D « 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: d

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


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This Blog Post/Article "Inequalities Quiz Set 041" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-10-26.

Posted by Parveen(Hoven),
Aptitude Trainer


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