Inequalities Quiz Set 004

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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. ⊗ means X < Y
  5. « means X > Y

Statements: H ∅ I; I « J; J @ K;

Conclusions:

  1. I « K
  2. J ⊗ 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: a

The statements can be translated to H ≤ I > J = K. Conclusion I translates to I > K. Conclusion II translates to J < I. 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. Ω means X ≮ (not less than) Y
  4. ∇ means X < Y
  5. ρ means X > Y

Statements: Q Ω R; R ∇ S; S ρ T;

Conclusions:

  1. S ∃ T
  2. S ρ T
 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 Q ≥ R < S > T. Conclusion I translates to S = T. Conclusion II translates to S > T. 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. µ means X ≤ Y
  3. § means X ≥ Y
  4. Δ means X < Y
  5. © means X > Y

Statements: G Δ H; H © I; I © J; J Δ K;

Conclusions:

  1. J Δ H
  2. K Δ I
  3. K © G

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 G < H > I > J < K.

The conclusions translate to:

  1. J < H(True)
  2. K < I(False)
  3. K > G(False)

Question 4

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

  1. « means X = Y
  2. @ means X ≤ Y
  3. Δ means X ≮ (not less than) Y
  4. % means X < Y
  5. λ means X > Y

Statements: Q Δ R; R % S; S Δ T;

Conclusions:

  1. Q % T
  2. T % Q
 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 Q ≥ R < S ≥ T. Conclusion I translates to Q < T. Conclusion II translates to T < Q. 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 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. Θ means X < Y
  5. ∏ means X > Y

Statements: A ∏ B; B ∏ C; C ∏ D; D ∏ E;

Conclusions:

  1. C ∏ E
  2. C ∏ A
  3. E Θ B

Which of the above conclusions is/are true?

 A

both I and III.

 B

I only.

 C

II only.

 D

III only.

Soln.
Ans: a

The statements can be translated to A > B > C > D > E.

The conclusions translate to:

  1. C > E(True)
  2. C > A(False)
  3. E < B(True)

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This Blog Post/Article "Inequalities Quiz Set 004" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-10-26.

Posted by Parveen(Hoven),
Aptitude Trainer


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