Inequalities Quiz Set 018

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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 ≥ Y
  4. ∩ means X < Y
  5. ⊗ means X > Y

Statements: P ¢ Q; Q ¢ R; R ⊗ S; S ∩ T;

Conclusions:

  1. Q ⊗ S
  2. S ∩ P
  3. T ∩ P

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 P = Q = R > S < T.

The conclusions translate to:

  1. Q > S(True)
  2. S < P(True)
  3. T < P(True)

Question 2

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. η means X > Y

Statements: T ® U; U ® V; V η W; W η X;

Conclusions:

  1. X ® V
  2. U η X
  3. T ® X

Which of the above conclusions is/are true?

 A

I only.

 B

both I and II.

 C

II only.

 D

III only.

Soln.
Ans: a

The statements can be translated to T < U < V > W > X.

The conclusions translate to:

  1. X < V(True)
  2. U > X(False)
  3. T < X(False)

Question 3

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

  1. Δ means X = Y
  2. √ means X ≤ Y
  3. $ means X ≥ Y
  4. ∩ means X < Y
  5. © means X > Y

Statements: H ∩ I; I © J; J ∩ K; K ∩ L;

Conclusions:

  1. K ∩ I
  2. H ∩ L
  3. K ∩ H

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 H < I > J < K < L.

The conclusions translate to:

  1. K < I(False)
  2. H < L(False)
  3. K < H(False)

Question 4

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

  1. ≅ means X = Y
  2. Δ means X ≯ (not more than) Y
  3. ¥ means X ≥ Y
  4. $ means X < Y
  5. © means X > Y

Statements: G © H; H $ I; I © J;

Conclusions:

  1. G ≅ J
  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: b

The statements can be translated to G > H < I > J. Conclusion I translates to G = J. Conclusion II translates to H < I. 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. ω means X = Y
  2. « means X ≤ Y
  3. ≅ means X ≥ Y
  4. ∂ means X < Y
  5. ¥ means X > Y

Statements: M ∂ N; N ω O; O ¥ P; P ω Q;

Conclusions:

  1. O ¥ M
  2. O ¥ Q
  3. N ¥ P

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 M < N = O > P = Q.

The conclusions translate to:

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

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This Blog Post/Article "Inequalities Quiz Set 018" 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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