Inequalities Quiz Set 022

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Question 1

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. Θ means X < Y
  5. ∅ means X > Y

Statements: L λ M; M λ N; N ∅ O; O λ P;

Conclusions:

  1. L Θ N
  2. L ∅ O
  3. M ∅ O

Which of the above conclusions is/are true?

 A

both II and III.

 B

I only.

 C

II only.

 D

III only.

Soln.
Ans: a

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

The conclusions translate to:

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

Question 2

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

  1. ® means X = Y
  2. § means X ≯ (not more than) Y
  3. Δ means X ≮ (not less than) Y
  4. ρ means X < Y
  5. ∇ means X > Y

Statements: O Δ P; P ® Q; Q § R;

Conclusions:

  1. O ρ Q
  2. O ∇ R
 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 O ≥ P = Q ≤ R. Conclusion I translates to O < Q. Conclusion II translates to O > R. 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. ¢ means X ≯ (not more than) Y
  3. Ω means X ≮ (not less than) Y
  4. ∏ means X < Y
  5. Δ means X > Y

Statements: Q Δ R; R ∩ S; S ∩ T;

Conclusions:

  1. Q Δ T
  2. R ∩ 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 Q > R = S = T. Conclusion I translates to Q > T. Conclusion II translates to R = 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 ≥.


Question 4

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

  1. Ξ means X = Y
  2. £ means X ≤ Y
  3. ∇ means X ≥ Y
  4. Ω means X < Y
  5. ∩ means X > Y

Statements: I Ω J; J Ξ K; K ∩ L; L Ξ M;

Conclusions:

  1. L ∩ I
  2. K ∩ I
  3. J ∩ L

Which of the above conclusions is/are true?

 A

both II and III.

 B

I only.

 C

II only.

 D

III only.

Soln.
Ans: a

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

The conclusions translate to:

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

Question 5

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

  1. ⊗ means X = Y
  2. ω means X ≤ Y
  3. § means X ≥ Y
  4. Ξ means X < Y
  5. η means X > Y

Statements: D ⊗ E; E ⊗ F; F Ξ G; G ⊗ H;

Conclusions:

  1. D Ξ F
  2. D Ξ H
  3. F Ξ H

Which of the above conclusions is/are true?

 A

III only.

 B

both III and II.

 C

II only.

 D

I only.

Soln.
Ans: a

The statements can be translated to D = E = F < G = H.

The conclusions translate to:

  1. D < F(False)
  2. D < H(False)
  3. F < H(True)

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This Blog Post/Article "Inequalities Quiz Set 022" 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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