Inequalities Quiz Set 025

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Question 1

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. ∧ means X < Y
  5. ∃ means X > Y

Statements: J ∧ K; K Ξ L; L ∃ M;

Conclusions:

  1. J ∧ M
  2. K ∃ 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 J < M. Conclusion II translates to K > 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. η means X = Y
  2. ¥ means X ≯ (not more than) Y
  3. ⊕ means X ≥ Y
  4. $ means X < Y
  5. √ means X > Y

Statements: M ⊕ N; N η O; O η P;

Conclusions:

  1. M √ P
  2. N η P
 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 M ≥ N = O = P. Conclusion I translates to M > P. Conclusion II translates to N = P. 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 3

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

  1. ρ means X = Y
  2. § means X ≤ Y
  3. ∏ means X ≥ Y
  4. © means X < Y
  5. ¢ means X > Y

Statements: F ρ G; G © H; H ¢ I; I ρ J;

Conclusions:

  1. I ¢ G
  2. F © J
  3. H ρ J

Which of the above conclusions is/are true?

 A

Neither of the three.

 B

I only.

 C

II only.

 D

III only.

Soln.
Ans: a

The statements can be translated to F = G < H > I = J.

The conclusions translate to:

  1. I > G(False)
  2. F < J(False)
  3. H = J(False)

Question 4

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. Θ means X < Y
  5. ≅ means X > Y

Statements: B $ C; C £ D; D ∧ E;

Conclusions:

  1. C ≅ E
  2. D £ E
 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 B ≤ C = D ≥ E. Conclusion I translates to C > E. Conclusion II translates to D = E. 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. ≅ means X ≯ (not more than) Y
  3. ∏ means X ≮ (not less than) Y
  4. @ means X < Y
  5. Γ means X > Y

Statements: N @ O; O Γ P; P @ Q;

Conclusions:

  1. N @ O
  2. O @ 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 < O. 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 ≥.


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This Blog Post/Article "Inequalities Quiz Set 025" 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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