Inequalities Quiz Set 002

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Question 1

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

  1. Ξ means X = Y
  2. Δ means X ≤ Y
  3. λ means X ≥ Y
  4. ∃ means X < Y
  5. ⊗ means X > Y

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

Conclusions:

  1. P ⊗ S
  2. S ∃ Q
  3. Q ∃ O

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 O > P > Q > R > S.

The conclusions translate to:

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

Question 2

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

  1. ρ means X = Y
  2. @ means X ≤ Y
  3. µ means X ≥ Y
  4. ∅ means X < Y
  5. ∑ means X > Y

Statements: K ∅ L; L ∅ M; M ρ N; N ρ O;

Conclusions:

  1. L ∅ O
  2. K ∅ O
  3. K ∅ N

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 K < L < M = N = O.

The conclusions translate to:

  1. L < O(True)
  2. K < O(True)
  3. K < N(True)

Question 3

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. µ means X > Y

Statements: M © N; N © O; O µ P; P µ Q;

Conclusions:

  1. O µ M
  2. Q % M
  3. Q % O

Which of the above conclusions is/are true?

 A

III only.

 B

both III and II.

 C

II only.

 D

I only.

Soln.
Ans: a

The statements can be translated to M = N = O > P > Q.

The conclusions translate to:

  1. O > M(False)
  2. Q < M(False)
  3. Q < O(True)

Question 4

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

  1. ® means X = Y
  2. « means X ≤ Y
  3. @ means X ≥ Y
  4. λ means X < Y
  5. √ means X > Y

Statements: J √ K; K ® L; L λ M; M λ N;

Conclusions:

  1. L λ J
  2. N λ J
  3. M λ J

Which of the above conclusions is/are true?

 A

Neither of the three.

 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. N < J(False)
  3. M < J(False)

Question 5

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

  1. § means X = Y
  2. ¢ means X ≤ Y
  3. Γ means X ≥ Y
  4. ⊕ means X < Y
  5. % means X > Y

Statements: T % U; U % V; V % W;

Conclusions:

  1. T ⊕ V
  2. U % W
 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 T > U > V > W. Conclusion I translates to T < V. Conclusion II translates to U > W. 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 002" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-06-24.

Posted by Parveen(Hoven),
Aptitude Trainer


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