Inequalities Quiz Set 023

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Question 1

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

  1. ω means X = Y
  2. ® means X ≤ Y
  3. ∇ means X ≥ Y
  4. © means X < Y
  5. § means X > Y

Statements: S § T; T ω U; U ω V; V ω W;

Conclusions:

  1. T ω V
  2. W © T
  3. U © S

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 S > T = U = V = W.

The conclusions translate to:

  1. T = V(True)
  2. W < T(True)
  3. U < S(True)

Question 2

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. ∅ means X > Y

Statements: P ∅ Q; Q ∅ R; R ∅ S; S ∀ T;

Conclusions:

  1. T ∀ Q
  2. R ∀ P
  3. T ∀ R

Which of the above conclusions is/are true?

 A

II only.

 B

both I and II.

 C

I only.

 D

III only.

Soln.
Ans: a

The statements can be translated to P > Q > R > S < T.

The conclusions translate to:

  1. T < Q(False)
  2. R < P(True)
  3. T < R(False)

Question 3

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

  1. ω means X = Y
  2. $ means X ≤ Y
  3. ® means X ≥ Y
  4. µ means X < Y
  5. ¥ means X > Y

Statements: S $ T; T µ U; U ¥ V;

Conclusions:

  1. S ω V
  2. S µ 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: b

The statements can be translated to S ≤ T < U > V. Conclusion I translates to S = V. Conclusion II translates to S < U. 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. § 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: F § G; G $ H; H ⊕ I;

Conclusions:

  1. H § 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. ∇ means X = Y
  2. λ means X ≤ Y
  3. ® means X ≥ Y
  4. √ means X < Y
  5. ¢ means X > Y

Statements: S λ T; T ¢ U; U ∇ V;

Conclusions:

  1. T ¢ V
  2. U √ T
 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 S ≤ T > U = V. Conclusion I translates to T > V. Conclusion II translates to U < T. 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 023" 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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