Inequalities Quiz Set 040

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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 ≮ (not less than) Y
  4. η means X < Y
  5. Δ means X > Y

Statements: D Δ E; E Δ F; F ® G;

Conclusions:

  1. D Δ G
  2. D Δ F
 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 D > E > F = G. Conclusion I translates to D > G. Conclusion II translates to D > F. 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. ρ means X ≥ Y
  4. @ means X < Y
  5. Γ means X > Y

Statements: B ∃ C; C ∃ D; D ρ E;

Conclusions:

  1. B ∃ E
  2. C Γ E
 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 B = C = D ≥ E. Conclusion I translates to B = E. Conclusion II translates to C > E. 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 3

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

  1. Ω means X = Y
  2. ∩ means X ≤ Y
  3. Ξ means X ≥ Y
  4. √ means X < Y
  5. ∃ means X > Y

Statements: J ∃ K; K √ L; L Ω M; M √ N;

Conclusions:

  1. K √ M
  2. L √ J
  3. M √ J

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 J > K < L = M < N.

The conclusions translate to:

  1. K < M(True)
  2. L < J(False)
  3. M < J(False)

Question 4

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

  1. § means X = Y
  2. ω means X ≤ Y
  3. ρ means X ≮ (not less than) Y
  4. λ means X < Y
  5. Γ means X > Y

Statements: H ω I; I Γ J; J λ K;

Conclusions:

  1. J λ K
  2. J λ H
 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 H ≤ I > J < K. Conclusion I translates to J < K. Conclusion II translates to J < H. 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 5

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. Γ means X < Y
  5. ∏ means X > Y

Statements: Q ∧ R; R ∏ S; S ⊕ T;

Conclusions:

  1. Q Γ T
  2. R ⊕ 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: a

The statements can be translated to Q ≥ R > S = T. Conclusion I translates to Q < T. Conclusion II translates to R = T. 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 040" 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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