Inequalities Quiz Set 008

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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. Δ means X ≥ Y
  4. ¥ means X < Y
  5. ∑ means X > Y

Statements: E ¥ F; F √ G; G √ H; H √ I;

Conclusions:

  1. H ∑ E
  2. G ¥ I
  3. E √ 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 E < F = G = H = I.

The conclusions translate to:

  1. H > E(True)
  2. G < I(False)
  3. E = G(False)

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. ∀ means X > Y

Statements: P ∀ Q; Q © R; R © S; S © T;

Conclusions:

  1. S ⊗ P
  2. P ∀ T
  3. R ⊗ 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. S < P(True)
  2. P > T(True)
  3. R < P(True)

Question 3

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

  1. √ means X = Y
  2. Δ means X ≤ Y
  3. Ω means X ≮ (not less than) Y
  4. $ means X < Y
  5. £ means X > Y

Statements: R √ S; S $ T; T Δ U;

Conclusions:

  1. R £ U
  2. T $ R
 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 R = S < T ≤ U. Conclusion I translates to R > U. Conclusion II translates to T < R. 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. Ω means X = Y
  2. Ξ means X ≤ Y
  3. ρ means X ≥ Y
  4. © means X < Y
  5. Θ means X > Y

Statements: Q Ω R; R Ω S; S Θ T; T Ω U;

Conclusions:

  1. T © Q
  2. R Θ U
  3. Q Ω S

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 Q = R = S > T = U.

The conclusions translate to:

  1. T < Q(True)
  2. R > U(True)
  3. Q = S(True)

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. η means X < Y
  5. ∃ means X > Y

Statements: J § K; K ∃ L; L ∃ M; M § N;

Conclusions:

  1. L ∃ J
  2. J ∃ N
  3. L ∃ N

Which of the above conclusions is/are true?

 A

both II and III.

 B

I only.

 C

II only.

 D

III only.

Soln.
Ans: a

The statements can be translated to J = K > L > M = N.

The conclusions translate to:

  1. L > J(False)
  2. J > N(True)
  3. L > N(True)

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This Blog Post/Article "Inequalities Quiz Set 008" 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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