Inequalities Quiz Set 020

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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. ρ means X ≥ Y
  4. ∩ means X < Y
  5. ® means X > Y

Statements: G ® H; H ∩ I; I @ J;

Conclusions:

  1. G ® H
  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: a

The statements can be translated to G > H < I = J. Conclusion I translates to G > H. Conclusion II translates to H < J. 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 2

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

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

Statements: N Θ O; O Θ P; P £ Q; Q Θ R;

Conclusions:

  1. O Θ R
  2. R Θ P
  3. P ω N

Which of the above conclusions is/are true?

 A

both I and III.

 B

I only.

 C

II only.

 D

III only.

Soln.
Ans: a

The statements can be translated to N < O < P = Q < R.

The conclusions translate to:

  1. O < R(True)
  2. R < P(False)
  3. P > N(True)

Question 3

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 ≮ (not less than) Y
  4. ® means X < Y
  5. Θ means X > Y

Statements: F ∀ G; G Θ H; H ∀ I;

Conclusions:

  1. F Θ H
  2. I ® 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: a

The statements can be translated to F = G > H = I. Conclusion I translates to F > H. Conclusion II translates to I < G. 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. ρ means X ≤ Y
  3. λ means X ≥ Y
  4. ∂ means X < Y
  5. ∀ means X > Y

Statements: K ω L; L ω M; M ∀ N; N ∀ O;

Conclusions:

  1. K ω M
  2. O ∂ K
  3. N ∂ L

Which of the above conclusions is/are true?

 A

both I and III.

 B

I only.

 C

II only.

 D

III only.

Soln.
Ans: a

The statements can be translated to K = L = M > N > O.

The conclusions translate to:

  1. K = M(True)
  2. O < K(False)
  3. N < L(True)

Question 5

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

Statements: Q £ R; R § S; S ∀ T;

Conclusions:

  1. S § T
  2. S ¢ 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: d

The statements can be translated to Q < R > S ≥ T. Conclusion I translates to S > T. Conclusion II translates to S = T. 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 020" 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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