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Directions (Qns. 1 to 5) : In the questions given below, certain symbols are used with the following meaning :
A @ B means A is greater than B
A * B means A is either greater than or equal to B
A # B means A is equal to B
A $ B means A is either smaller than or equal to B
A + B means A is smaller than B
Now in each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below them is/are definitely True ?
Give answer (A) if only conclusion I is true.
Give answer (B) if only conclusion II is true.
Give answer (C) if either conclusion I or II is true.
Give answer (D) if either conclusion I or II is true.
Give answer (E) if both conclusion I and II are true.
Explanatory Ans : - SBI - Reasoning - Ans. No. (1-5)
1. Statements :
D + T; E $ V; F * T; E @ D
Conclusions :
I. D $ V
II. D + F
(Ans : B) Explanatory Ans : -
D + T; E $ V; F * T; E @ D
After conversion
D < T; E ⤠V; F ⥠T; E > D or, V ⥠E > D < T ⤠F
Conclusions :
I. D $ V â D < V : Not True D is smaller than V.
II. D + F â D < F : True
2. Statements :
B + D; E $ T; T * P; P @ B
Conclusions :
I. P $ D
II. P @ D
(Ans : C) Explanatory Ans : -
B + D; E $ T; T * P; P @ B
After conversion
B < D; E ⤠T; T ⥠P; P > B or, E ⤠T ⥠P > B < D
Conclusions :
I. P $ D â P ⤠D : Not True
II. P @ D â P > D : Not True
While considering the relation between two entities three possibilities exists : greater than, equal to or smaller than. Therefore, either I or II is true.
3. Statements :
T * U; U $ W; V @ L; W + V
Conclusions :
I. V @ T
II. L # W
(Ans : D) Explanatory Ans : -
T * U; U $ W; V @ L; W + V
After conversion
T ⥠U; U ⤠W; V > L; W < V or, T ⥠U ⤠W < V > L
Conclusions :
I. V @ T â V > T : Not True
II. L # W â L = W : Not True
4. Statements :
P $ Q; N # M; M @ R; R * P
Conclusions :
I. P + N
II. Q $ M
(Ans : A) Explanatory Ans : -
P $ Q; N # M; M @ R; R * P
After conversion
P ⤠Q; N = M; M > R; R ⥠P or, N = M > R ⥠P ⤠Q
Conclusions :
I. P + N â P < N : True
II. Q $ M â Q < M : Not True
5. Statements :
E * F; G $ H; H # E; G @ K
Conclusions :
I. H @ K
II. H * F
(Ans : E) Explanatory Ans : -
E * F; G $ H; H # E; G @ K
After conversion
E ⥠F; G ⤠H; H = E; G > K or, K < G ⤠H = E ⥠F
Conclusions :
I. H @ K â H > K : True
II. H * F â H ⥠F : True
6 If A + B means "A is the sister of B". A * B means "A is the wife of B", A ÷ B means "A is the father of B" and A - B means "A is the brother of B", then which of following expresses the relationship that "T is the daughter of P" ?
A) P * Q ÷ R + S - T
B) P * Q ÷ R - T + S (Ans)
C) P * Q ÷ R + T - S
D) P * Q ÷ R + S + T
E) None of these
Explanatory Ans : - Option (I)
P * Q ÷ R + S - T
P * Q â P is the wife of Q.
Q ÷ R â Q is the father of R.
R + S â R is the sister of S.
S - T â S is the brother of T.
Note : The sex of T is not known.
Deductions
(i) Q is the husband of P.
(ii) P is the mother of R, S and T.
(iii) Q is the father of R, S and T.
(iv) R is the sister of S and T.
(v) S is the brother of R and T.
Option (II)
P * Q ÷ R - T + S
P * Q â P is the wife of Q.
Q ÷ R â Q is the father of R.
R - T â R is the brother of S.
T + S â T is the sister of S.
Note : The sex of S is not known.
Deductions
(i) Q is the husband of P.
(ii) P is the mother of R, S and T.
(iii) Q is the father of R, S and T.
(iv) T is the daughter of P and Q.
7. If the position of the first letter of English alphabet is interchanged with the position of the fourteenth letter, second letter wit the fifteenth letter in such a way that M is interchanged with Z, then which of the following letters will be 9th to the right of 17th letter from the right ?
A) F (Ans)
B) E
C) R
D) T
E) None of these
Explanatory Ans : - According to question, the new sequence would be :
N O P Q R S T U V W X Y Z A B C D E F G H I J K L M 9th to the right of 17th letter from the right means (17 - 9) = 8th letter from the right.
8th letter from right â F.
Statements :
Some trees are flowers.
Some flowers are pencils.
Some pencils are tables.
Conclusions :
I. Some tables are flowers.
II. Some pencils are trees.
III. Some tables are trees.
IV. Some trees are pencils.
A) All follow
B) None follows (Ans)
C) Only I and III follow
D) Only II and IV follow
E) None of these
Explanatory Ans : - All the three premises are Particular Affirmative (I-type). Therefore, no conclusion can be derived from these premises. Now look for any conversion and/or implication :
There is no such conclusion.
8. Statements :
All rods are bricks
Some bricks are ropes
All ropes are doors
Conclusions :
I. Some rods are doors.
II. Some doors are bricks.
III. Some rods are not doors.
IV. All doors are ropes.
A) Only I and II follow
B) Only I, II and III follow
C) Only either I or III and II follow (Ans)
D) Only either I or III and IV follow
E) None of these
Explanatory Ans : - First premise is Universal Affirmative (A-type).
Second premise is Particular Affirmative (I-type).
Third premise is Universal Affirmative (A-type).
9. In a certain code DOWN as '5@9#" and NAME is written as '#6%3'. How is MODE written in that code ?
(1) %653
(2) %@63
(3) %5@3
(4) %@53 (Ans)
(5) None of these
Solutions :
D O W N N A M E
â â â â and â â â â
5 @ 9 # # 6 % 3
So, M O D E
â â â â
% @ 5 3
10 How many meaningful English words can be formed with the letters LGEU using each letter only once in each word ?
(1) None
(2) One
(3) Two (Ans)
(4) Three
(5) More than three
Solutions : Meaningful words â GLUE, LUGE
