Inequalities Quiz Set 036

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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 ≮ (not less than) Y
  4. ® means X < Y
  5. √ means X > Y

Statements: K √ L; L √ M; M √ N;

Conclusions:

  1. K ® M
  2. L √ N
 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 K > L > M > N. Conclusion I translates to K < M. Conclusion II translates to L > N. 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 2

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: L ∇ M; M ∇ N; N @ O; O @ P;

Conclusions:

  1. M ∇ O
  2. L ∇ O
  3. P ∇ N

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 L > M > N < O < P.

The conclusions translate to:

  1. M > O(False)
  2. L > O(False)
  3. P > N(True)

Question 3

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

  1. Δ means X = Y
  2. ¥ means X ≯ (not more than) Y
  3. ® means X ≥ Y
  4. ∏ means X < Y
  5. £ means X > Y

Statements: G ® H; H £ I; I £ J;

Conclusions:

  1. G Δ J
  2. G £ I
 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 G ≥ H > I > J. Conclusion I translates to G = J. Conclusion II translates to G > I. 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. « means X = Y
  2. ⊗ means X ≤ Y
  3. ∧ means X ≥ Y
  4. ω means X < Y
  5. ∇ means X > Y

Statements: S « T; T « U; U ∇ V; V ω W;

Conclusions:

  1. S ∇ V
  2. V ω T
  3. S ∇ W

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 S = T = U > V < W.

The conclusions translate to:

  1. S > V(True)
  2. V < T(True)
  3. S > W(True)

Question 5

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

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

Statements: M @ N; N @ O; O η P; P η Q;

Conclusions:

  1. Q µ N
  2. N η P
  3. O µ M

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: b

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

The conclusions translate to:

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

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This Blog Post/Article "Inequalities Quiz Set 036" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2019-08-18.

Posted by Parveen(Hoven),
Aptitude Trainer


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