Inequalities Quiz Set 024

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Question 1

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

  1. ∃ means X = Y
  2. % means X ≤ Y
  3. Ω means X ≮ (not less than) Y
  4. ⊗ means X < Y
  5. £ means X > Y

Statements: N Ω O; O £ P; P ⊗ Q;

Conclusions:

  1. N £ P
  2. O Ω Q
 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 N ≥ O > P < Q. Conclusion I translates to N > P. Conclusion II translates to O ≥ Q. 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 2

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

  1. ∧ means X = Y
  2. √ means X ≤ Y
  3. ∩ means X ≥ Y
  4. $ means X < Y
  5. ⊗ means X > Y

Statements: I $ J; J ⊗ K; K √ L;

Conclusions:

  1. I ⊗ K
  2. I $ L
 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 I < J > K ≤ L. Conclusion I translates to I > K. Conclusion II translates to I < L. 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. @ means X = Y
  2. Ξ means X ≯ (not more than) Y
  3. η means X ≮ (not less than) Y
  4. ¢ means X < Y
  5. ∃ means X > Y

Statements: F ¢ G; G @ H; H ∃ I;

Conclusions:

  1. F ¢ I
  2. G ∃ 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: b

The statements can be translated to F < G = H > I. Conclusion I translates to F < I. Conclusion II translates to G > I. 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. ρ means X ≤ Y
  3. « means X ≮ (not less than) Y
  4. ω means X < Y
  5. ⊗ means X > Y

Statements: L ρ M; M ω N; N ρ O;

Conclusions:

  1. L ⊗ N
  2. O ω L
 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 L > N. Conclusion II translates to O < L. 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. Γ means X ≤ Y
  3. η means X ≥ Y
  4. ∅ means X < Y
  5. £ means X > Y

Statements: H £ I; I ∀ J; J ∅ K; K ∀ L;

Conclusions:

  1. L £ I
  2. I ∅ K
  3. J £ H

Which of the above conclusions is/are true?

 A

both I and II.

 B

I only.

 C

II only.

 D

III only.

Soln.
Ans: a

The statements can be translated to H > I = J < K = L.

The conclusions translate to:

  1. L > I(True)
  2. I < K(True)
  3. J > H(False)

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This Blog Post/Article "Inequalities Quiz Set 024" 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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