Symbols and Notations Questions & Answers : Logical Reasoning

• Instructions (1-2) :-
Thease questions are based on the following information.
( I ) 'A * B' means 'A is brother of B'
( II ) 'A / B' means 'B is mother of A'
( III ) 'A – B' means 'A is father of B'
( IV ) 'A + B' means 'B is sister of A'
• 1. Which of the following means L is daughter of H?
A.) L + K / J – H
B.) H – J * R + L
C.) L – J * H / K
D.) L + W * R / H

H – J * R + L
L -> Sister R ,
R -> Brother J,
J -> Fother H
Therefore, L is daughter of H.

• 2. How is S related to T in the Expression: T / P + S ?
A.) Daughter
B.) Sister
C.) Niece
D.) Aunt

T / P + S
S -> Sister P ,
P -> Mother T
Therefore, P is the mother of T and S is the sister of P.
Then S is Aunt of T.

• Instructions (3 - 4) :-
Thease questions are based on the following information.
( I ) 'A * B' means 'A is father of B'
( II ) 'A – B' means 'A is sister of B'
( III ) 'A + B' means 'A is mother of B'
( IV ) 'A/B' means 'A is sister of B'
• 3. In the expression D + F * O / P, how is O related to D?
A.) Grand daughter
B.) Son
C.) Grand son
D.) Daughter

D + F * O / P
D + F means D is mother of F
F * O means F is father of O
O * P means O is brother of P

• 4. Which of the following represents ‘ J is son of F ‘’ ?
A.) J / R – T * F
B.) J + R – T * F
C.) J / M – N * F
D.) None of these

A.) J / R – T * F
J + R means J is brother of R
R - T means R is sister of T
T * F means T is fother of F
Therefore, J is Uncle of F
B.) J + R means J is Mother of R
J is a female.
C.) J / M means J is brother of M
M – N means M is sister of N
N * F means N is father of F
Therefore J is uncle of F.

• Instructions : (5 - 7) -
In the following questions, the Symbols @, ©, \$ , % and & are used with the following meanings as illustrated below.
‘A \$ B’ means ‘A is not greater than B’.
'A @ B' means 'A is neither smaller then nor equal to B'.
'A & B' means 'A is neither greater than nor equal to B'.
'A © B' means 'A is neither greater than nor smaller than B'.
'A % B' means 'A is not smaller than B’.
In each of the following question assuming the given statements to be true, find out which of the two conclusions I and I I given below these are definitily true.
• 5. Statements:
C & D, D \$ E, E © F
Conclusions:
I .F @ C
II. E @ C
A.) If only conclusion I is true
B.) If only conclusion II is true
C.) If either conclusion I or conclusion II is true
D.) If both conclusions I and II are true.

‘A \$ B’ -> A !> B, therefore A = B.
‘A @ B’ -> A B.
‘A & B’ -> A !> B and A ‘A © B’ -> A !> B and A ‘A % B’ -> A C & D -> C < D
D \$ E -> D = E
E © F -> E = F
Therefore C < D = E = F
Conclusions:
1. F @ C -> F > C ( True )
2. E @ C -> E > C ( True )

• 6. Statements:
D % H, H \$ P, P @ Q
Conclusions:
I .D @ P
II. Q & H
A.) If only conclusion I is true
B.) If only conclusion II is true
C.) If either conclusion I or conclusion II is true
D.) If neither conclusion I nor conclusion II is true

D & H -> D = H
H \$ P -> H = P
P @ Q -> P > Q
Therefore D = H = P > Q
Conclusions:
1. D @ P -> D > P ( Not True )

• 7. Statements:
A © B, B % C, C & D
Conclusions:
I. C & A
A.) If only conclusion I is true
B.) If only conclusion II is true
C.) If either conclusion I or conclusion II is true
D.) If neither conclusion I nor conclusion II is true

A © B -> A = B
B % C -> B = C
C & D -> C < D
Therefore A = B = C < D
Conclusions:
1. C & A -> C < A ( Not True )
2. C © A -> C = A ( Not True )
C is either smaller than or equal to A. Therefore, either conclusion I or conclusion II is follows

• Instructions : -(8 - 10)
In the following questions, the Symbols @, ©, \$ , % and # are used with the following meanings as illustrated below.
'A \$ B' means 'A is not smaller than B'.
'A # B' means 'A is not greater then B'.
'A @ B' means 'A is neither smaller than nor equal to B'.
'A © B' means 'A is neither smaller than nor greater than B'.
'A % B' means 'A is neither greater than nor equal to B'.
In each of the following question assuming the given statements to be true, find out which of the two conclusions I and I I given below these are definitely true.
• 8. Statements:
H % J, J © N, N @ R
Conclusions:
I. R % J
II. H @ J
III. N @ H
A.) Only II is true
B.) Only I and III are true
C.) Only I is true
D.) Only III is true

I)A \$ B means A not a lessthan B Therefore, A = B
II) A # B means A not a greater than B Therefore, A = B
III) A @ B means A not a lessthan B and A ? B Therefore, A = B
IV) A © B means A not a lessthan B and A !> B Therefore, A = B
V ) A % B means A not a greater than B and A ? B Therefore, A < B
H % J -> H < J
J © N -> J = N
N @ R -> N > R
Therefore, H < J = N > R
Conclusions:
I. R % J -> R < J ( True )
II. H @ J -> H > J ( Not true)
III. N @ J -> N > H (True)

• 9. Statements:
M @ J, J \$ T, T © N
Conclusions:
I. N # J
II. T % M
III. M @ N
A.) Only I and II are true
B.) Only II and III are true
C.) Only I and III are true
D.) All are true

M % J -> M > J
J \$ T -> J = T
T © N -> T = N
Therefore, M > J = T = N
Conclusions:
I. N # J -> N = J ( true )
II. T % M -> T < M ( true)
III. M @ N -> M > N ( true)

• 10. Statements:
D © K, K # F, F @ P
Conclusions:
I. P @ D
II. K # P
III. F \$ D
A.) Only II is true
B.) Only I and II are true
C.) Only III is true
D.) Only II and III are true

D © K -> D = K
K # F -> K = F
F @ P -> F > P
Therefore, D = K = F > P
Conclusions:
I. P @ D -> P > D ( Not true )
II. K # P -> K = P ( Not true )
III.F \$ D -> F = D ( True )

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