Inequalities Quiz Set 044

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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. ∧ means X < Y
  5. ∀ means X > Y

Statements: N √ O; O √ P; P ∧ Q;

Conclusions:

  1. N ∧ Q
  2. O ∀ 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: c

The statements can be translated to N = O = P < Q. Conclusion I translates to N < Q. Conclusion II translates to O > Q. 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. ρ means X = Y
  2. ∂ means X ≯ (not more than) Y
  3. ≅ means X ≮ (not less than) Y
  4. ∇ means X < Y
  5. √ means X > Y

Statements: R ∂ S; S ρ T; T ρ U;

Conclusions:

  1. S ρ U
  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 R ≤ S = T = U. Conclusion I translates to S = U. 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 ≥.


Question 3

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

  1. © means X = Y
  2. ω means X ≤ Y
  3. √ means X ≥ Y
  4. ⊗ means X < Y
  5. ¥ means X > Y

Statements: A ¥ B; B © C; C © D; D ¥ E;

Conclusions:

  1. A ¥ E
  2. A ¥ D
  3. A ¥ C

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 A > B = C = D > E.

The conclusions translate to:

  1. A > E(True)
  2. A > D(True)
  3. A > C(True)

Question 4

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

  1. λ means X = Y
  2. « means X ≤ Y
  3. ∀ means X ≥ Y
  4. $ means X < Y
  5. Ξ means X > Y

Statements: T Ξ U; U Ξ V; V λ W;

Conclusions:

  1. T Ξ W
  2. T Ξ V
 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 T > U > V = W. Conclusion I translates to T > W. Conclusion II translates to T > V. 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 5

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

  1. Δ means X = Y
  2. √ means X ≯ (not more than) Y
  3. ρ means X ≮ (not less than) Y
  4. ® means X < Y
  5. ∏ means X > Y

Statements: Q ∏ R; R Δ S; S ∏ T;

Conclusions:

  1. Q Δ 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: b

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 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 044" 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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