Inequalities Quiz Set 026

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Question 1

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 ≥.


Question 2

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. Θ means X < Y
  5. @ means X > Y

Statements: L Ω M; M Θ N; N Θ O;

Conclusions:

  1. L Θ O
  2. N ∑ L
 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 L ≤ M < N < O. Conclusion I translates to L < O. Conclusion II translates to N = L. 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. Θ means X = Y
  2. Ω means X ≯ (not more than) Y
  3. $ means X ≮ (not less than) Y
  4. « means X < Y
  5. η means X > Y

Statements: F Θ G; G « H; H η I;

Conclusions:

  1. F Θ I
  2. H η 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 F = G < H > I. Conclusion I translates to F = I. Conclusion II translates to H > 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. η means X ≯ (not more than) Y
  3. ∏ means X ≮ (not less than) Y
  4. ρ means X < Y
  5. √ means X > Y

Statements: F Ω G; G ρ H; H ∏ I;

Conclusions:

  1. H Ω I
  2. H √ I
 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 F = G < H ≥ I. Conclusion I translates to H = I. Conclusion II translates to H > I. 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 5

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

  1. λ means X = Y
  2. « means X ≤ Y
  3. ∀ means X ≥ Y
  4. $ means X < Y
  5. Ξ means X > Y

Statements: T Ξ U; U Ξ V; V λ W;

Conclusions:

  1. T Ξ W
  2. T Ξ V
 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 T > U > V = W. Conclusion I translates to T > W. Conclusion II translates to T > V. 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 ≥.


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This Blog Post/Article "Inequalities Quiz Set 026" 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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