Logical Deduction | Logical Reasoning Questions and Answers | Logical Reasoning Free Online-Tests | LucentBlackBoard

Direction to solve :
Directions: In the following questions, the symbols 5, %, @ and # are used with the following meaning as illustrated below.

'A % B' means 'A is neither greater than nor equal to Bâ€™
'A # B' means 'A is neither smaller than nor equal to B'.
'A δ B' means 'A is neither smaller than nor greater than B'.
â€˜A ★ B' means 'A is not smaller than Bâ€™
'A @ B' means 'A is not greater than Bâ€™
Now, in each of the following questions assuming the given statements to be true, find which of the three conclusions I, II and III given below them is/are definitely true and give your answer accordingly.

01.

Statements: P ★ D, D#Q, Q @ R

Conclusions
I. Q % P
II. R#D
III.P#D

A.	None is true	B.	only I is true
C.	Only II is true	D.	Only III is true
E.	None of these

Answer and Explanation

Answer: only I is true

Explanation:
P★ D=>P>D;D#Q=>D>Q;Q@R=>Q<R

So, P>D>Q
Conclusions

I. Q%P=>Q<P(True)

II. R#D=>R>D (False)
III. P#D=>P>D (False)

So, only I is true.

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02.

Statements: M # R, R % P, P δ J

Conclusions
I. M#P
II. J#R
III. J % M

A.	None is true	B.	Only I is true
C.	Only II is true	D.	Only III is true
E.	II and III are true

Answer and Explanation

Answer: Only II is true

Explanation:
M#R =>M>R;R%P=>R<P; Pδ J=>P = J
So, M> R

Conclusions
I. M#P=>M>P (False)
II. J#R=>J>R(True)
III. J % M => J < M (False)

So, only II is true.

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03.

Statements: F δ D, D★K,K#M

Conclusions
I. M % D
II. K@F
III. F#M

A.	I and II are true	B.	I and III are true
C.	II and III are true	D.	All are true (e) None of these

Answer and Explanation

Answer: All are true (e) None of these

Explanation:
F δ D=>F = D;D ★ K=>D> K; K#M=>K>M

So, F = D > K > M

Conclusions

I. M % D => M < D (True)
II. K @ F => K < F (True)
III. F # M F > M (True)

So, all I, II and III are true.

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04.

Statements: T % M, M @ K, K ★ F

Conclusions
I. F% M
II. F % T
III. K#T

A.	Only III is true	B.	Only II is true
C.	Only I is true	D.	II and III are true
E.	All are true

Answer and Explanation

Answer: Only III is true

Explanation:
T%M=>T<M ; M @ K => M<K;K★F^K>F

So,TF

Conclusions
I. F%M=>F < M (False)

II. F%T=Â»F <T

III. K # T => K > T (True)

So, only III is true.

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05.

Statements: H @ K, K δ N, N % T

Conclusions
I. T#K
II. N δ H
III. H % N

A.	Only I is true	B.	Only II is true
C.	Only III is true	D.	Either II or III is true
E.	Either II or III and I are true

Answer and Explanation

Answer: Either II or III and I are true

Explanation:
H @ K => H < K; K δ N =>K = N ; N % T N < T
So, H<K = N<T
Conclusions
I. T#K=>T>K
II. N δ H=>N = H
III. H%R=>H
Either II or III and I are true.

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