Inequalities Quiz Set 014

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Question 1

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

  1. ∀ means X = Y
  2. ω means X ≯ (not more than) Y
  3. « means X ≥ Y
  4. ∏ means X < Y
  5. Δ means X > Y

Statements: G Δ H; H ∀ I; I « J;

Conclusions:

  1. H Δ J
  2. H ∀ J
 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 G > H = I ≥ J. Conclusion I translates to H > J. Conclusion II translates to H = J. 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.

  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 3

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

  1. η means X = Y
  2. ≅ means X ≤ Y
  3. ∅ means X ≥ Y
  4. Θ means X < Y
  5. ω means X > Y

Statements: O η P; P η Q; Q Θ R; R Θ S;

Conclusions:

  1. P Θ R
  2. S ω P
  3. S ω Q

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 < R(True)
  2. S > P(True)
  3. S > Q(True)

Question 4

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

  1. § means X = Y
  2. ω means X ≤ Y
  3. % means X ≮ (not less than) Y
  4. ∏ means X < Y
  5. ® means X > Y

Statements: B § C; C § D; D ω 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

neither I nor II is true.

Soln.
Ans: d

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 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 ≯ (not more than) Y
  3. @ means X ≮ (not less than) Y
  4. ¥ means X < Y
  5. ≅ means X > Y

Statements: O @ P; P ∇ Q; Q ¥ R;

Conclusions:

  1. O ≅ Q
  2. P @ 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: c

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


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This Blog Post/Article "Inequalities Quiz Set 014" 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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