Inequalities Quiz Set 004

Advertisement


Your Score
Correct Answers:
Wrong Answers:
Unattempted:

Question 1

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. ∅ means X > Y

Statements: P ∅ Q; Q ∅ R; R ∅ S; S ∀ T;

Conclusions:

  1. T ∀ Q
  2. R ∀ P
  3. T ∀ R

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 P > Q > R > S < T.

The conclusions translate to:

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

Question 2

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

  1. ® means X = Y
  2. Ξ means X ≤ Y
  3. ⊕ means X ≮ (not less than) Y
  4. Θ means X < Y
  5. ⊗ means X > Y

Statements: Q ⊕ R; R Θ S; S Ξ T;

Conclusions:

  1. R ⊗ T
  2. Q ⊗ T
 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 Q ≥ R < S ≤ T. Conclusion I translates to R > T. Conclusion II translates to Q > T. 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 3

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

  1. η means X = Y
  2. ¥ means X ≯ (not more than) Y
  3. ⊕ means X ≥ Y
  4. $ means X < Y
  5. √ means X > Y

Statements: M ⊕ N; N η O; O η P;

Conclusions:

  1. M √ P
  2. N η P
 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 M ≥ N = O = P. Conclusion I translates to M > P. Conclusion II translates to N = P. 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 4

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

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

Statements: P ∑ Q; Q ∑ R; R ≅ S; S ≅ T;

Conclusions:

  1. R ⊗ T
  2. T ⊗ Q
  3. P ∑ S

Which of the above conclusions is/are true?

 A

both II and III.

 B

I only.

 C

II only.

 D

III only.

Soln.
Ans: a

The statements can be translated to P < Q < R = S = T.

The conclusions translate to:

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

Question 5

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: B λ C; C $ D; D $ E;

Conclusions:

  1. B $ D
  2. C Ξ 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 ≥.


buy aptitude video tutorials


Creative Commons License
This Blog Post/Article "Inequalities Quiz Set 004" 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


Advertisement