Inequalities Quiz Set 002

Advertisement


Your Score
Correct Answers:
Wrong Answers:
Unattempted:

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. Ξ means X < Y
  5. ∏ means X > Y

Statements: Q Ξ R; R Ξ S; S ⊕ T; T ∏ U;

Conclusions:

  1. R Ξ U
  2. R Ξ T
  3. Q Ξ 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 Q < R < S = T > U.

The conclusions translate to:

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

Question 2

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

  1. ∑ means X = Y
  2. Δ means X ≤ Y
  3. µ means X ≮ (not less than) Y
  4. √ means X < Y
  5. ¢ means X > Y

Statements: M ∑ N; N ¢ O; O µ P;

Conclusions:

  1. O ∑ P
  2. O ¢ 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: d

The statements can be translated to M = N > O ≥ P. Conclusion I translates to O = P. Conclusion II translates to O > P. So we can see that either I or II can be 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. Δ means X = Y
  2. ® means X ≤ Y
  3. © means X ≮ (not less than) Y
  4. ∂ means X < Y
  5. « means X > Y

Statements: B Δ C; C Δ D; D « E;

Conclusions:

  1. B Δ E
  2. C « 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: b

The statements can be translated to B = C = D > E. Conclusion I translates to B = E. Conclusion II translates to C > E. 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 4

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

  1. η means X = Y
  2. £ means X ≤ Y
  3. Θ means X ≮ (not less than) Y
  4. ∩ means X < Y
  5. ∇ means X > Y

Statements: B £ C; C η D; D ∇ E;

Conclusions:

  1. B η E
  2. B ∩ D
 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 B ≤ C = D > E. Conclusion I translates to B = E. Conclusion II translates to B < D. 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 ≯ (not more than) Y
  3. ∀ means X ≥ Y
  4. Γ means X < Y
  5. ≅ means X > Y

Statements: L ∀ M; M Γ N; N ≅ O;

Conclusions:

  1. N ∏ O
  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 L ≥ M < N > O. Conclusion I translates to N = O. 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 ≥.


buy aptitude video tutorials


Creative Commons License
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 2017-05-17.

Posted by Parveen(Hoven),
Aptitude Trainer


Advertisement