Inequalities Quiz Set 050

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Question 1

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

  1. ∀ means X = Y
  2. @ means X ≯ (not more than) Y
  3. Θ means X ≥ Y
  4. § means X < Y
  5. η means X > Y

Statements: M @ N; N η O; O @ P;

Conclusions:

  1. M § P
  2. N § O
 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 M ≤ N > O ≤ P. Conclusion I translates to M < P. Conclusion II translates to N < O. 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. Ξ means X = Y
  2. Δ means X ≤ Y
  3. λ means X ≥ Y
  4. ∃ means X < Y
  5. ⊗ means X > Y

Statements: O ⊗ P; P ⊗ Q; Q ⊗ R; R ⊗ S;

Conclusions:

  1. P ⊗ S
  2. S ∃ Q
  3. Q ∃ O

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 O > P > Q > R > S.

The conclusions translate to:

  1. P > S(True)
  2. S < Q(True)
  3. Q < O(True)

Question 3

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

  1. ¢ means X = Y
  2. $ means X ≤ Y
  3. @ 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. D ¥ B
 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 B < E. 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 4

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. E ≅ G
 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 D ≤ E = F < G. Conclusion I translates to D < G. Conclusion II translates to E > G. 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.

  1. ¢ means X = Y
  2. ⊗ means X ≯ (not more than) Y
  3. η means X ≥ Y
  4. « means X < Y
  5. Θ means X > Y

Statements: M ⊗ N; N Θ O; O η P;

Conclusions:

  1. O « M
  2. M Θ O
 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 M ≤ N > O ≥ P. Conclusion I translates to O < M. Conclusion II translates to M > O. 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 050" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-04-07.

Posted by Parveen(Hoven),
Aptitude Trainer


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