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 B’
'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'.
‘A ★ B' means 'A is not smaller than B’
'A @ B' means 'A is not greater than B’
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=»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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