Inequalities Quiz Set 039

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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: S √ T; T √ U; U √ V; V λ W;

Conclusions:

  1. W ⊕ U
  2. W ⊕ S
  3. V ⊕ S

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. W < U(True)
  2. W < S(True)
  3. V < S(True)

Question 2

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

  1. ¢ means X = Y
  2. ⊗ means X ≤ Y
  3. Ξ means X ≥ Y
  4. § means X < Y
  5. @ means X > Y

Statements: K ¢ L; L @ M; M ¢ N; N ¢ O;

Conclusions:

  1. K § M
  2. K @ N
  3. N § L

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 K = L > M = N = O.

The conclusions translate to:

  1. K < M(False)
  2. K > N(True)
  3. N < L(True)

Question 3

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

  1. Ξ means X = Y
  2. µ means X ≤ Y
  3. ¢ means X ≥ Y
  4. Θ means X < Y
  5. Γ means X > Y

Statements: H Γ I; I Γ J; J Θ K; K Θ L;

Conclusions:

  1. I Γ K
  2. L Θ I
  3. L Θ 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 H > I > J < K < L.

The conclusions translate to:

  1. I > K(False)
  2. L < I(False)
  3. L < J(False)

Question 4

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

  1. ∀ means X = Y
  2. λ means X ≤ Y
  3. Γ means X ≮ (not less than) Y
  4. √ means X < Y
  5. § means X > Y

Statements: L λ M; M ∀ N; N Γ O;

Conclusions:

  1. M § 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: d

The statements can be translated to L ≤ M = N ≥ O. Conclusion I translates to M > O. Conclusion II translates to N = O. 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 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. ∩ means X < Y
  5. Γ means X > Y

Statements: S ¢ T; T ∩ U; U ∩ V;

Conclusions:

  1. S ∩ U
  2. T Γ V
 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 S = T < U < V. Conclusion I translates to S < U. Conclusion II translates to T > V. 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 ≥.


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This Blog Post/Article "Inequalities Quiz Set 039" 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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