# Logical Reasoning capsules by Vikas Saini - Set 3

• Set 1

There are six persons A, B, C, D, E and F in school. Each of the teachers teaches two subjects, one compulsory subject and the other optional subject. D’s optional subject was History while three others have it as compulsory subject. E and F have Physics as one of their subjects. F’s compulsory subject is Mathematics which is an optional subject of both C and E. History and English are A’s subjects but in terms of compulsory and optional subjects, they are just reverse of those of D’s. Chemistry is an optional subject of only one of them. The only female teacher in the school has English as her compulsory subject.

Q1. What is C’s compulsory subject ?
(a) History
(b) Physics
(c) Chemistry
(d) English
(e) Mathematics

Q2. Who is a female member in the group ?
(a) A
(b) B
(c) C
(d) D
(e) E

Q3. Which of the following has same compulsory and optional subjects as those of F’s ?
(a) D
(b) B
(c) A
(d) C
(e) None of these

Q4. Disregarding which is the compulsory and which is the optional subject, who has the same two subject combination as F ?
(a) A
(b) B
(c) E
(d) D
(e) None of these

Q5. Which of the following groups has History as the compulsory subject ?
(a) A, C, D
(b) B, C, D
(c) C, D
(d) A, B, C
(e) A, D

Solution

PersonOptionalCompulsory
AEnglishHistory
BChemistryHistory
CMathematicsHistory
DHistoryEnglish
EMathematicsPhysics
FPhysicsMathematics

Q1. a
Q2. d
Q3. e
Q4. c
Q5. d

Set 2

(i) Five friends P, Q, R, S and T travelled to five different cities of Chennai, Kolkata, Delhi, Bangalore and Hyderabad by different modes of transport of Bus,Train, Aeroplane, Car and Boat from Mumbai.
(ii) The person who travelled to Delhi did not travel by boat.
(iii) R went to Bangalore by car and Q went to Kolkata by aeroplane.
(iv) S travelled by boat whereas T travelled by train.
(v) Mumbai is not connected by bus to Delhi and Chennai.

Q1. Which of the following combinations of person and mode is not correct ?
(a) P – Bus
(b) Q – Aeroplane
(c) R – Car
(d) S – Boat
(e) T – Aeroplane

Q2. Which of the following combinations is true for S ?
(a) Delhi – Bus
(b) Chennai - Bus
(c) Chennai – Boat
(e) None of these

Q3. Which of the following combinations of place and mode is not correct ?
(a) Delhi - Bus
(b) Kolkata - Aeroplane
(c) Bangalore - Car
(d) Chennai - Boat

Q4. The person travelling to Delhi went by which of the following modes ?
(a) Bus
(b) Train
(c) Aeroplane
(d) Car
(e) Boat

Q5. Who among the following travelled to Delhi ?
(a) R
(b) S
(c) T
(e) None of these

Solution:

FriendsCityTransport
PMumbaiBus
RBangaloreCar
QKolkataAeroplane
SChennaiBoat
TDelhiTrain

Q1. e
Q2. c
Q3. a
Q4. b
Q5. c

Set 3

A,B,C,D,E are 5 friends. All of them are of different heights. The tallest person’s position is numbered 1, the next tallest 2 and so on till the shoertest whose position number is 5.
(A) The sum of A’s position number and E’s position number is equal to the sum of D’s and C’s position number.
(B) C is not shortest & A is not the tallest.
(C) C is shorter than A and D is shorter than B.

Q.1) Who is tallest ?

Q.2) Who is shortest ?

Q.3) If D is shorter than C, then the sum of the position numbers of which of the following combination is/are a perfect square ?
a. B & A
b. D & E
c. C & B
d. More than one of the above
e. None of the above

Solution:
From (B) & (C) possible rank could be
A = 2, 3
B = 1, 2, 3, 4
C = 3, 4
D = 2, 3, 4, 5
E =1, 2, 3, 4, 5
From (A)
A + E = C + D
A = 2, B = 1, C =3, D = 4. E = 5.

Q.1 – B
Q.2 – E
Q.3 – Option 4
( B & C) & (D & E)

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