Inequalities Quiz Set 031

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Question 1

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: N © O; O © P; P ∏ Q; Q £ R;

Conclusions:

  1. O ∏ Q
  2. O ∏ R
  3. R £ P

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 N = O = P > Q < R.

The conclusions translate to:

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

Question 2

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

  1. λ means X = Y
  2. % means X ≯ (not more than) Y
  3. µ means X ≥ Y
  4. ρ means X < Y
  5. ∧ means X > Y

Statements: O % P; P λ Q; Q ρ R;

Conclusions:

  1. O ρ R
  2. P ∧ R
 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 O ≤ P = Q < R. Conclusion I translates to O < R. Conclusion II translates to P > R. 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 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: N % O; O % P; P ¥ Q; Q § R;

Conclusions:

  1. Q ¥ O
  2. P ¥ R
  3. R ¥ N

Which of the above conclusions is/are true?

 A

II only.

 B

both I and II.

 C

I only.

 D

III only.

Soln.
Ans: a

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

The conclusions translate to:

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

Question 4

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

  1. ∅ means X = Y
  2. Γ means X ≯ (not more than) Y
  3. Ω means X ≥ Y
  4. « means X < Y
  5. ∩ means X > Y

Statements: M ∩ N; N « O; O ∩ P;

Conclusions:

  1. M ∅ P
  2. N « O
 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 M > N < O > P. Conclusion I translates to M = P. Conclusion II translates to N < O. 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 ≥.


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 031" 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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