Inequalities Quiz Set 035

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Question 1

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

  1. Ω means X = Y
  2. η means X ≯ (not more than) Y
  3. ∏ means X ≮ (not less than) Y
  4. ρ means X < Y
  5. √ means X > Y

Statements: F Ω G; G ρ H; H ∏ I;

Conclusions:

  1. H Ω I
  2. H √ 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: d

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

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

  1. Δ means X = Y
  2. @ means X ≯ (not more than) Y
  3. ⊗ means X ≥ Y
  4. ® means X < Y
  5. ∧ means X > Y

Statements: B ® C; C ® D; D Δ E;

Conclusions:

  1. B ® D
  2. D ∧ B
 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 B < C < D = E. Conclusion I translates to B < D. Conclusion II translates to D > B. 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. ∃ means X = Y
  2. ∩ means X ≤ Y
  3. ⊕ means X ≥ Y
  4. £ means X < Y
  5. ρ means X > Y

Statements: S ∩ T; T £ U; U ⊕ V;

Conclusions:

  1. S ρ V
  2. S £ V
 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 S ≤ T < U ≥ V. Conclusion I translates to S > V. Conclusion II translates to S < V. 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 4

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. ρ means X < Y
  5. η means X > Y

Statements: J ¥ K; K % L; L ρ M;

Conclusions:

  1. J η L
  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: c

The statements can be translated to J ≥ K = L < M. Conclusion I translates to J > L. Conclusion II translates to K ≥ M. 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 5

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

  1. ρ means X = Y
  2. η means X ≤ Y
  3. Γ means X ≮ (not less than) Y
  4. « means X < Y
  5. Ω means X > Y

Statements: N Γ O; O Ω P; P η Q;

Conclusions:

  1. O Ω Q
  2. N Ω Q
 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 N ≥ O > P ≤ Q. Conclusion I translates to O > Q. Conclusion II translates to N > Q. 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 035" 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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