Inequalities Quiz Set 003

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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. $ means X ≥ Y
  4. ∅ means X < Y
  5. ∃ means X > Y

Statements: M ≅ N; N ∃ O; O ∃ P;

Conclusions:

  1. M √ 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: b

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 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. Ξ means X = Y
  2. ∩ means X ≤ Y
  3. ⊗ means X ≮ (not less than) Y
  4. ≅ means X < Y
  5. ¢ means X > Y

Statements: L ∩ M; M ≅ N; N ¢ O;

Conclusions:

  1. L Ξ O
  2. L ≅ 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: b

The statements can be translated to L ≤ M < N > O. Conclusion I translates to L = O. Conclusion II translates to L < N. 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 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. η means X < Y
  5. ∏ means X > Y

Statements: I η J; J ∏ K; K η L;

Conclusions:

  1. I η J
  2. J η L
 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 I < J > K < L. Conclusion I translates to I < J. Conclusion II translates to J < L. 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 4

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: L ∇ M; M ∇ N; N @ O; O @ P;

Conclusions:

  1. M ∇ O
  2. L ∇ O
  3. P ∇ N

Which of the above conclusions is/are true?

 A

III only.

 B

both III and II.

 C

II only.

 D

I only.

Soln.
Ans: a

The statements can be translated to L > M > N < O < P.

The conclusions translate to:

  1. M > O(False)
  2. L > O(False)
  3. P > N(True)

Question 5

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: R ∀ S; S ∀ T; T « U; U ∀ V;

Conclusions:

  1. V ∀ T
  2. R ∀ U
  3. U « S

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 R > S > T < U > V.

The conclusions translate to:

  1. V > T(False)
  2. R > U(False)
  3. U < S(False)

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This Blog Post/Article "Inequalities Quiz Set 003" 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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