Inequalities Quiz Set 030

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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. ∂ means X ≮ (not less than) Y
  4. ∩ means X < Y
  5. £ means X > Y

Statements: J ∂ K; K ≅ L; L £ M;

Conclusions:

  1. L ≅ M
  2. J £ 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: b

The statements can be translated to J ≥ K = L > M. Conclusion I translates to L = M. Conclusion II translates to J > M. 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 2

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

  1. Γ means X = Y
  2. £ means X ≤ Y
  3. √ means X ≥ Y
  4. ≅ means X < Y
  5. ® means X > Y

Statements: B Γ C; C ≅ D; D ≅ E; E ® F;

Conclusions:

  1. F ® C
  2. E ® B
  3. B ≅ F

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 B = C < D < E > F.

The conclusions translate to:

  1. F > C(False)
  2. E > B(True)
  3. B < F(False)

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. ρ means X > Y

Statements: L § M; M ⊗ N; N $ O;

Conclusions:

  1. L ⊗ O
  2. N ρ 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: a

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 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. ω means X = Y
  2. λ means X ≤ Y
  3. Θ means X ≥ Y
  4. ∅ means X < Y
  5. ∩ means X > Y

Statements: T ∩ U; U ω V; V ∩ W;

Conclusions:

  1. T ω W
  2. U ∩ W
 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 T > U = V > W. Conclusion I translates to T = W. Conclusion II translates to U > W. 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 5

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

  1. λ means X = Y
  2. µ means X ≯ (not more than) Y
  3. ® means X ≥ Y
  4. Γ means X < Y
  5. © means X > Y

Statements: L ® M; M Γ N; N µ O;

Conclusions:

  1. M © O
  2. L © 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 L ≥ M < N ≤ O. Conclusion I translates to M > O. Conclusion II translates to L > 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 ≥.


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This Blog Post/Article "Inequalities Quiz Set 030" 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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