Answers to Practice Exercises 1.3
Grouping/Condition Based 1
Set
1 :
Ans 1 : Option b
If 3 subjects are choosen from Group 1
including Physics and Maths, then the 3rd Subject must be Social.
Also, it is given that at least 1 subject from English and Psychology must be
choosen. Since English is not choosen, Psychology must be choosen.
Ans 2 : Option b
At least 1 subject from Psychology and
English must be choosen.
Ans 3 : Option d
If Physics is choosen from Group 1,
Chemistry cannot be choosen. Also English is not choosen and since Sociology is
not choosen, therefore Maths cannot be choosen. Therefore Social has to be
choosen from Group 1.
Now from Group 2 , 3 subjects need to
be choosen out of which Psychology is definitely choosen. Further Public
Administration cannot be choosen. Therefore, Political Science and Accounts is
definitely choosen.
Ans 4 : Option d
Any 3 subjects can be choosen from Sociology, Psychology,
Political Science and Accounts.
Set
2 :
Ans 5 : Option d
If Rocket is in Cage 1, Tuffy will also
be in cage 1 and therefore Steffi will be in Cage 2. Now if Daffy is in Cage 1,
both Gypsy and Chilli will have to be in Cage 2 which violates Condition 1.
Therefore Daffy will be in Cage 2.
Ans 6 : Option b
If Daffy is in Cage 1, Gypsy and Chilli
cannot be together ie one of them will be in Cage 1. Therefore, Rocket cannot
be in Cage 1. If Rocket is in Cage 2, then Chilli will be in Cage 1 and Gypsy
in Cage 2. Now Steffi and Tuffy will be in Cage 1 and 2 but in no particular
order ie 2 possible arrangements exist.
Ans 7 : Option d
If Chilli is in Cage 2, Rocket has to
be in Cage 1. Tuffy will also be in Cage 1 and so Steffi will be in Cage 2. Now
if Daffy is in Cage 1, then Gypsy will have to be in Cage 2 but in this
condition, Gypsy and Chilli cannot be together and so Daffy cannot be in Cage
1. Therefore Daffy will be in Cage 2 and Gypsy in Cage 1.
Ans 8 : Option c
Possible Arrangements are
Ans 9 : Option c
Option c is incorrect because for 4
fast bowlers selected, there should be 2 spinners selected in the team while in
option c, there is only 1 spinner.
Ans 10 : Option a
If Suresh is selected, neither Ravi nor
Khan can be selected. Since, we have choosen 7 batsmen, 4 bowlers need to be
selected. We have to select from Fast Bowlers : Bhaj, Ashish and Sree and
spinners chawla and Khan. This could be done as follows :
1. All the 3 fast bowlers and chawla since bhaj will play only
if Chawla is also selected.
2. 2 Fast bowlers and 2 spinners ie both chawla and khan and
any 2 fast bowlers from the available 3 fast bowlers which can be done in 3
different ways.
Therefore total number of ways is 4
ways.
Ans 11 : Option a
Since MSD decides to play with 6
Batsmen, 5 bowlers need to be selected. Sree is injured and therefore not
eligible to play. Therefore, there are only 6 bowlers from which the selection
is to be done. Now one of the possibilities is to leave out Chawla and play the
other 5 bowlers. This is definitely not possible because Bhaj will play only if
Chawla is also selected which indicates that in any situation, Chawla cannot be
left out and must be definitely selected.
Set 4 :
Ans 12 : Option d
Since Aman orders Burger, Bala will
order the same item as ordered by Chander. This cannot be Sandwich because if
Chander orders Sandwich, all three of them will order different Items.
Therefore, Bala and Chander will both either order Burger or Pizza.
Ans 13 : Option b
If Bala orders Burger, then as per
condition 2, Chander will order the same item as ordered by Aman. This cannot
be Sandwich because it would violate condition 3. It could be either Burger or
Pizza.
Ans 14 : Option a
If Bala does not order Pizza, Chander
will order the same item as ordered by Aman.
Ans 15 : Option b
If Chander orders Sandwich, all 3 of them have to order
different items. Therefore, Aman and Bala will have to order one item each from
Burger and Pizza not in any order. But Aman cannot order Burger because it
would violate condition 1. So, Aman will have to order Pizza and Bala will have
to order Burger. This in turn would violate condition 2. Therefore, Chander
cannot order Sandwich. ie the 3 friends will not be able to place their orders.
Set 5 :
Ans 16 : Option c
If Rawat is selected, Shalini cannot be
selected and therefore Kapil also cannot be selected. Further Vatsala is
definitely selected. Exactly one from Prateek or Tarun has to be selected. This
can happen in 2 ways. Now the 4th member can be any one from
Abhishek and Vinod which can happen in 2 ways.
Therefore, total number of ways = 2 x 2
= 4 ways.
Ans 17 : Option b
If Shalini is selected, Rawat is
definitely not selected. Also, exactly 1 from Prateek or Tarun is selected ie
the team can have a maximum of 6 members.
Ans 18 : Option d
Rawat cannot be a member of a team
having 6 members.
Ans 19 : Option c
Kapil and Rawat cannot be the members
of the same team since Kapil and Shalini are to be always selected together
while Rawat and Shalini can never be selected in the same team.
Ans 20 : Option b
Shalini and Kapil have to be selected together.
Grouping
/ Condition Based 2
Set
1 :
Ans 1 : Option b
Ans 2 : Option d
Ans 3 : Option c
If P works on the 2nd day, P
must have done Filling since Rolling cannot be done on the 2nd day
ie before both the Filling activities are completed. Since Watering is done on
Thursday, the activity on Wednesday must be Rolling.
Ans 4 : Option b
Filling, Watering, Filling, Rolling,
Watering, Rolling
Filling, Filling, Watering, Rolling,
Watering, Rolling
Filling, Filling, Rolling, Watering, Rolling, Watering
Set
2 :
Ans 5 : Option b
Since Swing is practiced on Wednesday
and Putt on Thursday, Swing will be practiced on Wednesday afternoon. Also,
Plan and Stance both have to be practiced in the afternoon. Therefore, the
aspects practiced in the morning will be Putt, Push and Drive.
Ans 6 : Option a
The aspect practiced on Thursday
morning cannot be Putt, Plan, Stance or Drive. Therefore, the aspect practiced
on Thursday morning must be Push.
Ans 7 : Option c
Ans 8 : Option a
If Putt has to be practiced on Friday,
it has to be Friday afternoon. Plan has to be practiced on Wednesday afternoon
and Stance on Thursday afternoon. Since Putt is practiced on Friday, Stance
cannot be practiced on Thursday morning so, Stance has to be practiced on
Wednesday morning and Push on Thursday morning.
Set
3 : General
Explanation
1. Group A based on Personality is
M,P,Q and S ie these people must have got the Ranks 1,2,7 and 8 in no
particular order based on Personality.
2.
Therefore
N,O,R and T must have got Ranks of 3,4,5 and 6 in no particular order.
3. Group B based on overall
thinking is P,T,Q and O. ie these people must have got ranks of 3,4,5 and 6
based on overall thinking.
4.
M,T
and O are the only contestants to get the same Rank in both the aspects.
5.
Since
R got Rank 4 in Personality, T and O must have got any 2 Ranks out of 3, 5 and
6. Similarly, since N got Rank 2 in Overall Thinking, M must have got either
Rank 1,7 or 8 in both the aspects.
Ans 9 : Option a
If M and T got consecutive Ranks in
Overall Thinking, then M must have got Rank 7 in both aspects and T must have
got Rank 6 in both aspects.
Ans 10 : Option b
R can get any on the position out of 7
or 8 in Overall Thinking.
Ans 11 : Option d
N can get either Rank 5 or 6.
Ans 12 : Option c
M must have got Rank 8 in Overall Thinking.
Set 4 :
Ans 13 : Option c
Sri Lanka and Germany cannot be
selected together.
Ans 14 : Option b
Ans 15 : Option c
Ans 16 : Option d
India has to be definitely selected and
therefore Japan cannot be selected.
Set
5 :
Ans
17 : Option d
It
can be either Floor number 1 or 2.
Ans
18 : Option b
Ans
19 : Option c
Ans
20 : Option d
Blood
Relations 1 :
Set
1 : General Explanation
1.
E
must be married to C. Also, C must be a Tennis player.
2.
B
is neither a Tennis player nor a Chess player ie B must be a Badminton player.
Therefore, E must be a Chess player.
Ans 1 : Option d
The Group having only ladies will be
ADC
Ans 2 : Option b
Ans 3 : Option d
Ans 4 : Option b
Ans 5 : Option a
The Lady’s Father-in-Law’s son must be
the Lady’s Husband. This man’s wife is the lady herself and she is talking
about her son.
Ans 6 : Option c
Ans 7 : Option c
Lady A and Lady B must be sisters.
Ans 8 : Option b
If A belongs to the first generation,
then E belongs to the 3rd generation.
Ans 9 : Option a
A is the Mother of E, E is the sister
of B and B is the brother of C. Therefore, A will be the Mother of C.
Ans 10 : Option b
E is the Father of A and A is the Father of B. Also, B is
the son of D and D is the Mother of C. Therefore, A and D are married and their
children are B and C. But D is a female and so the wife of A.
Ans
11 to 14 :
General Explanation
1.
E
is the son of A and brother of C. F is B’s Brother-in-law and is married to G.
Therefore, B and A must be married.
2.
The
3rd Couple must be D and H where H is a male and D is a female.
The partial data can
be compiled as follows :
Ans
11 : Option d
Ans
12 : Option b
Ans
13 : Option a
Ans
14 : Option d
Ans
15 : Option c
Ans
16 : Option a
Ans
17 : Option b
Ans
18 : Option b
Ans
19 : Option c
Ans
20 : Option b
Blood
Relations 2 :
Set
1 :
General Explanation
1.
H
belongs to the first generation and is the Grandmother of the Lawyer. ie H is
in the first generation and the lawyer in the 3rd generation.
2.
The
lawyer is married to one of the Housewives.
3.
C,
the teacher does not belong to the 1st generation and is the sister
of B’s Mother ie B must be the Lawyer.
4.
Since,
G the Dentist is the brother-in-law of the Teacher, G must be married to B’s
Mother.
5.
D,
the doctor is the Father of the Banker ie the Banker must be B’s Mother.
Based on this, the partial information
can be compiled as follows:
Ans
1 : Option a
Ans
2 : Option c
Ans
3 : Option d
Ans
4 : Option a
Ans
5 : Option b
Ans
6 : Option c
Ans
7 : Option a
Ans
8 : Option b
Ans
9 : Option d
Ans
10 : Option b
Ans
Q11 to Q14 :
General Explanations:
Let
us first try to put the children in the order of their birth.
Ans
11 : Option c
Ans
12 : Option d
Ans
13 : Option d
Ans
14 : Option b
Ans
15 : Option c
Ans
16 : Option d
Ans
17 : Option d
Ans
18 : Option c
Ans
19 : Option a
Ans
20 : Option d
Mathematical
Reasoning 1 :
Set
1 :
General
Explanation
1.
Each
Team would play 4 Matches in the 2nd Round. But no team has played
all it’s Matches till the 5th Match.
2.
India
has got 5 points which can only be possible through 1 win and 2 draws. The Win
is against Australia.
3.
Netherlands
has also played 3 Matches till the 5th Match ie Netherlands must
have drawn 2 Matches and lost 1 Match. This Match must have been against
Pakistan since Pakistan is the only other Team to have won a Match.
4.
Also,
since the total number of Matches played is 5, one of the drawn Matches of
Netherlands must have been against India. Also, India must have drawn it’s
Match against Pakistan.
5.
The
Matches played can be as follows:
India – Australia : India won
India – Netherlands : Drawn
India – Pakistan : Drawn
Netherlands – Pakistan : Pakistan won
Netherlands – England : Drawn
Ans 1 : Option a
Ans 2 : Option d
Ans 3 : Option b
Ans 4 : Option c
Set
2 :
General Explanation
1.
At
the end of the 4th Round each person had Rs.32000 with them. The
total amount of money with all of them together will be Rs.128000.
2.
Also
Since Dinesh lost the 4th Round, he would have doubled the money
with each of the other 3 persons ie all of them must have had Rs.16000 each
after the 3rd round and Dinesh must have had 128000-48000 =
Rs.80000.
Ans 5 : Option c
Ans
6 : Option a
Ans
7 : Option a
Ans
8 : Option b
Set
3 :
General
Explanation :
Let
the number of Cards with E and D be x and Y respectively. Therefore, the number
of Cards with A and B will be x-5 and y-5 respectively.
Also
x-5+x = y-5+y+20
x
= y+10-----------(1)
Number
of Cards with C =y-5-4 = y-9.
Also
x+x-5+y+y-5+y-9 = 201
2x+3y=220.
2(y+10)+3y=220
2y+20+3y=220
5y=200,
y=40, x=50
A=45,
B=35, C=31, D=40, E=50
Ans
9 : Option c
Ans
10 : Option d
Ans
11 : Option d
Ans
12 : Option b
Set
4 :
General Explanation :
1.
The
total earning of Ramesh and Chandu is Rs.500.
2.
This
would mean the total earnings of the other 2 people together ie Bhola and
Yogesh must be 700.
3.
The
person selling Newspaper is not Ramesh, Chandu or Bhola ie the Person selling
Newspaper must be Yogesh.
4.
Bhola
earned Rs.300 more than Yogesh and together they earned Rs.700 ie Bhola must
have earned Rs.500 and Yogesh Rs.200.
5.
The
person selling Chatpata earned Rs.100 less than Yogesh. This person cannot be
either Bhola or Ramesh. Therefore, the person selling Chatpata must be Chandu
and earned Rs.100 on that day.
6.
Ramesh
must have earned Rs.400 on that day.
7.
Since
the person who sold Colddrink earned the maximum amount, therefore, Bhola must
have sold Colddrink and Ramesh must have sold Apples.
Ans 13 : Option d
Ans 14 : Option b
Ans 15 : Option b
Ans 16 : Option c
Set
5 :
General Explanation for 17 and 18 :
This is the property of numbers that
are powers of 2. It is the only number where the next power is available
immediately after all possible combinations through additions of it’s previous
powers get exhausted.
Example : 2^0 = 1, 2^1 = 2, 2^2 = 4
Now 1 can be formed, 2 can be obtained,
3=1+2, 4 can be used, 5=1+4, 6=2+4, 7=1+2+4. Now all possible combinations of
addition have got exhausted and the next power of 2 ie 2^3 is available.
Ans 17 : Option b
1, 2, 4, 8, 16, 32 and 64.
Ans 18 : Option c
Ans 18 : Option c
Ans 19 : Option d
It is the property of the powers of 3.
Weights required will be 1,3,9 and 27.
Ans 20 : Option a
[contd.]
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