Inequalities Quiz Set 015

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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. ∅ means X ≮ (not less than) Y
  4. Ξ means X < Y
  5. % means X > Y

Statements: M Ξ N; N ∧ O; O ∧ P;

Conclusions:

  1. M Ξ P
  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: 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 2

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. µ means X < Y
  5. ⊗ means X > Y

Statements: M $ N; N ⊗ O; O µ P;

Conclusions:

  1. M ⊗ O
  2. O µ 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: c

The statements can be translated to M = N > O < P. Conclusion I translates to M > O. Conclusion II translates to O < P. 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. Γ means X = Y
  2. ∅ means X ≯ (not more than) Y
  3. η means X ≥ Y
  4. Ω means X < Y
  5. % means X > Y

Statements: M % N; N Γ O; O η P;

Conclusions:

  1. N % P
  2. N Γ 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 N > P. Conclusion II translates to N = 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. @ means X = Y
  2. ρ means X ≯ (not more than) Y
  3. ¥ means X ≥ Y
  4. ∑ means X < Y
  5. ω means X > Y

Statements: M ω N; N ∑ O; O ρ P;

Conclusions:

  1. M ∑ P
  2. N ω P
 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 M > N < O ≤ P. Conclusion I translates to M < P. Conclusion II translates to N > P. 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. Θ means X ≮ (not less than) Y
  4. @ means X < Y
  5. ¢ means X > Y

Statements: R £ S; S ¢ T; T £ U;

Conclusions:

  1. R ¢ T
  2. U @ S
 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 R = S > T = U. Conclusion I translates to R > T. Conclusion II translates to U < S. 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 ≥.


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This Blog Post/Article "Inequalities Quiz Set 015" 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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