Inequalities Quiz Set 006

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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. Γ means X ≥ Y
  4. ⊕ means X < Y
  5. ∑ means X > Y

Statements: G ∑ H; H ⊕ I; I ⊕ J;

Conclusions:

  1. H ⊕ J
  2. H Γ 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: c

The statements can be translated to G > H < I < J. Conclusion I translates to H < J. Conclusion II translates to H ≥ J. 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. ω means X = Y
  2. Δ means X ≤ Y
  3. @ means X ≮ (not less than) Y
  4. ∅ means X < Y
  5. Ω means X > Y

Statements: K Ω L; L Ω M; M @ N;

Conclusions:

  1. M Ω N
  2. M ω N
 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 K > L > M ≥ N. Conclusion I translates to M > N. Conclusion II translates to M = N. 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 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. Δ means X ≥ Y
  4. µ means X < Y
  5. « means X > Y

Statements: M « N; N µ O; O Δ P;

Conclusions:

  1. O « P
  2. O ⊕ 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: d

The statements can be translated to M > N < O ≥ P. Conclusion I translates to O > P. Conclusion II translates to O = P. 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. µ means X = Y
  2. ∧ means X ≤ Y
  3. ∀ means X ≮ (not less than) Y
  4. Ξ means X < Y
  5. § means X > Y

Statements: N ∀ O; O § P; P § Q;

Conclusions:

  1. N µ Q
  2. N § 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: b

The statements can be translated to N ≥ O > P > Q. Conclusion I translates to N = Q. Conclusion II translates to N > P. 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 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. µ means X > Y

Statements: T µ U; U µ V; V Γ W;

Conclusions:

  1. T ∇ W
  2. V µ T
 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 T > U > V ≤ W. Conclusion I translates to T < W. Conclusion II translates to V > T. 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 006" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-04-07.

Posted by Parveen(Hoven),
Aptitude Trainer


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