Inequalities Quiz Set 043

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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. Γ means X < Y
  5. ⊕ means X > Y

Statements: Q Γ R; R Γ S; S Γ T;

Conclusions:

  1. Q Γ S
  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: c

The statements can be translated to Q < R < S < T. Conclusion I translates to Q < S. Conclusion II translates to R ≥ T. 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 2

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: B $ C; C ⊕ D; D ¢ E;

Conclusions:

  1. B ⊕ E
  2. D ¥ B
 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 B ≤ C < D = E. Conclusion I translates to B < E. Conclusion II translates to D > B. 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 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. ⊗ means X < Y
  5. @ means X > Y

Statements: O ∑ P; P ⊗ Q; Q ∑ R; R ∑ S;

Conclusions:

  1. P ⊗ R
  2. O @ Q
  3. O ⊗ S

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 O = P < Q = R = S.

The conclusions translate to:

  1. P < R(True)
  2. O > Q(False)
  3. O < S(True)

Question 4

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

  1. ρ means X = Y
  2. @ means X ≯ (not more than) Y
  3. Ω means X ≮ (not less than) Y
  4. ⊕ means X < Y
  5. ∀ means X > Y

Statements: C Ω D; D ∀ E; E Ω F;

Conclusions:

  1. D ⊕ C
  2. C ρ D
 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 C ≥ D > E ≥ F. Conclusion I translates to D < C. Conclusion II translates to C = D. 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. √ means X = Y
  2. ® means X ≤ Y
  3. ∧ means X ≥ Y
  4. ¢ means X < Y
  5. µ means X > Y

Statements: I ¢ J; J µ K; K µ L;

Conclusions:

  1. I ¢ L
  2. J µ 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: b

The statements can be translated to I < J > K > L. Conclusion I translates to I < L. Conclusion II translates to J > L. 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 ≥.


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This Blog Post/Article "Inequalities Quiz Set 043" 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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