Inequalities Quiz Set 001

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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. Ξ means X ≥ Y
  4. √ means X < Y
  5. ∇ means X > Y

Statements: T ∇ U; U ∂ V; V √ W;

Conclusions:

  1. T ∇ V
  2. U Ξ W
 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 T > U = V < W. Conclusion I translates to T > V. Conclusion II translates to U ≥ W. 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. Ξ means X ≤ Y
  3. ∏ means X ≮ (not less than) Y
  4. ∃ means X < Y
  5. µ means X > Y

Statements: B Ξ C; C ∃ D; D ∃ E;

Conclusions:

  1. B ∃ E
  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: c

The statements can be translated to B ≤ C < D < E. Conclusion I translates to B < E. Conclusion II translates to D = B. 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 3

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. Θ means X < Y
  5. ¥ means X > Y

Statements: B ρ C; C ∧ D; D ρ E;

Conclusions:

  1. B ¥ D
  2. E Θ B
 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 B ≤ C = D ≤ E. Conclusion I translates to B > D. Conclusion II translates to E < B. 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 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. Δ means X < Y
  5. @ means X > Y

Statements: K @ L; L @ M; M ∏ N;

Conclusions:

  1. K Δ N
  2. M @ K
 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 K > L > M ≤ N. Conclusion I translates to K < N. Conclusion II translates to M > K. 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. ¢ means X ≤ Y
  3. ∩ means X ≥ Y
  4. « means X < Y
  5. @ means X > Y

Statements: D « E; E « F; F $ G; G $ H;

Conclusions:

  1. H @ D
  2. D « G
  3. E « H

Which of the above conclusions is/are true?

 A

All.

 B

both I and II.

 C

II only.

 D

both II and III.

Soln.
Ans: a

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

The conclusions translate to:

  1. H > D(True)
  2. D < G(True)
  3. E < H(True)

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This Blog Post/Article "Inequalities Quiz Set 001" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-05-17.

Posted by Parveen(Hoven),
Aptitude Trainer


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