Inequalities Quiz Set 037

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Question 1

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

  1. § means X = Y
  2. ω means X ≤ Y
  3. % means X ≮ (not less than) Y
  4. ∏ means X < Y
  5. ® means X > Y

Statements: B § C; C § D; D ω 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

neither I nor II is true.

Soln.
Ans: d

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 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 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. ρ means X < Y
  5. µ means X > Y

Statements: O µ P; P µ Q; Q « R; R « S;

Conclusions:

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

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: B © C; C © D; D ⊕ E; E ⊕ F;

Conclusions:

  1. F ∏ C
  2. B © D
  3. B © F

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 B < C < D = E = F.

The conclusions translate to:

  1. F > C(True)
  2. B < D(True)
  3. B < F(True)

Question 4

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

  1. Δ means X = Y
  2. ∇ means X ≯ (not more than) Y
  3. λ means X ≥ Y
  4. £ means X < Y
  5. ∂ means X > Y

Statements: B £ C; C £ D; D £ E;

Conclusions:

  1. B £ D
  2. C λ 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: c

The statements can be translated to B < C < D < E. Conclusion I translates to B < D. Conclusion II translates to C ≥ E. 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 ≥ Y
  4. £ means X < Y
  5. § means X > Y

Statements: R £ S; S ∧ T; T ∧ U; U ∧ V;

Conclusions:

  1. R £ V
  2. R § T
  3. S ∧ V

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 R < S = T = U = V.

The conclusions translate to:

  1. R < V(True)
  2. R > T(False)
  3. S = V(True)

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This Blog Post/Article "Inequalities Quiz Set 037" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-04-07.

Posted by Parveen(Hoven),
Aptitude Trainer


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