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<b>SELECTION BASED ON GIVEN CONDITIONS</b>
1)
A few essential criteria for selection of group of items are given:
From amongst five doctors A,B,C,D and E;four engineers G,H,K and L;
six teachers M,N,O,P,Q and R some teams are to be selected.A,B,G,H,O,P
and Q are females and the rest are males.
Where ever there is a male doctor ,no female teacher.
Where ever there is a male engineer, no female doctor.
There shall not be more than two male teachers in any team.
1.If the team consists of 2 doctors,3 female teachers and 2 engineers,
the members of the team are:
a)A B O P Q G H* b)C D O P Q G H c)C D K L O P Q
d)D E G H O P Q
2.If the team consists of 2 doctors,1 engineer and 4 teachers all the
following are possible except
a)A B G M N O P b)A B H M O P Q c)A B H M R P Q
d)A B K N R P Q*
3.If the team consists of2 doctors,2 female teachers and two engineers
all the following teams are possible except:
a)A B G H O Q b)A B G H P Q c)A B K L P Q d)O P G H A B
4.If the team consists of 3 doctors,2 male engineers and 2 teachers,
the members of the team could be:
a)A B C K L M R b)B C D K L N R c)C D E K L M N d)C D E K L P R
5.if the team consists of two doctors,two engineers and two teachers,
all the following teams are possible except:
a)A B G H O P b)A B G H M N c)C E K L N R
d)C D K L O P
Explanation:Doctors A B C D E
Engineers G H K L
Teachers M N O P Q R
Given
Females A B G H O P Q
Males C D E K L M N R
Male doctor and female teacher
male engineer and female doctor
More than two teachers/team combination are not allowed.
1Q) Explanation:
Doctors are A B C D E
Female teachers are O P Q
Engineers are G H K L
Male doctor and no female teacher => A,B are Doctors.
So the Team consists of A B O P Q G H.
2Q) Explanation:
Teachers are M N O P Q R
Four are needed
Three are male teachers.
Female teachers are also to be selected.Hence no male doctors C D E
are selected.
So Doctors => A B
Both doctors are Females =>no male Engineer to be selected.
Ans:Team =>A B K N R P Q.
3Q) Explanation:
The doctors are A B C D E,
Female Teachers are O P Q,
Engineers are G H K L,
Since 2 Female Teachers are to be selected.So male doctors i.e;C D E
cannot be selected.
So, 2 Doctors selected will be A,B.
Both Doctors are Females.
So, male Engineer K L cannot be selected.
G H are chosen.
=>A B K L P Q are selected.
4Q)Explanation:
Doctors A,B,C,D,E
Male Engineers K,L
Teachers M,N,O,P,Q,R
Male Engineers =>no female Doctors=>no A,B
3 Doctors to be selected are C,D,E who are all males.
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<b>FAMILY BASED PROBLEMS</b>
1)
There is a group of six persons A,B,C,D,E and F from a family.
They are psychologist,manager,lawyer,jeweler,doctor and engineer.
The doctor is the grandfather of F who is a psychologist.
The manager D is married to A.
C,the jeweler is married to the lawyer.
B is the mother of F and E.
There are two married couples in the family.
1.What is the profession of E?
a)Doctor b)Jeweler c)Manager d)Psychologist e)None*
2.How is A related to E?
a)Brother b)Uncle c)Father d)Grandfather*
3.How many male members are there in the family?
a)One b)Three c)Four d)Data insufficient*
4.What is the profession of A?
a)Doctor* b)Lawyer c)Jeweler d)Manager
5.Which of the following is one of the pairs of couples in the family?
a)AB b)AC c)AD* d)can’t say
Solution:
F is a Psychologist.
B is the mother of F and E.
=>E is brother or sister of F.
There are two married couples in the family.
Since D is married to A,C the jeweler is married to lawyer B.
Manager D is married to A means A is doctor,grandfather of E and F.
So no one else is engineer till this point.=>E is engineer.
AD--->CB------>EF
2)
Prashanth Arora has three children-Sangeeta,Vimal and Ashish.Ashish
married Monika,the eldest daughter of Mr.andMrs.Roy.The Roys married
their youngest daughter to the eldest son of Mr.and Mrs.Sharma,and they
had two children named Amit and Shashi.The Roys have two more children,
Roshan and Vandana,both elder to Veena.Sameer and Ajay are sons of
Ashish and Monika.Rashmi is the daughter of Amit.
Prashanth Arora-------> 1.Sangeeta
2.Vimal
3.Ashish(Monika)--------------------> 1.Sameer
2.Ajay
Mr & Mrs.Sharma----------------> 1.Amit(Veena)---------------->1.Rashmi
2.Shashi
Mr & Mrs.Roy---------------------> 1.Monika
2.Roshan
3.Vandana
4.Veena
1.What is the surname of Rashmi?
a)Sharma* b)Roy c)Arora d)can’t say e)none
2.How is Sameer related to father of Monika?
a)Grandson* b)Son c)Cousin d)Son-in-law e)none
3.What is the surname of Sameer?
a)Roy b)Sharma c)Arora* d)can’t say e)none
4.How is Mrs.Roy related to Ashish?
a)aunt b)Mother-in-law* c)mother d)sister-in-law
3)
In a family of six persons,there are three generations.Each person has
seperate profession and also they like different colours.There are two
couples in the family.Rohan is a CA and his wife neither is a doctor
nor likes green colour. Engineer likes red colour and his wife is a
teacher.Mohini is mother-in-law of Sunita and she likes orange colour.
Vinod is grandfather of Tanmay,Tanmay is principal likes black colour.
Nanu is granddaughter of Mohini and she likes blue colour.Nanu’s
mother likes white colour.
1.Who is an Engineer?
a)Nanu b)Mohini c)Sunita d)can’t say e)none*
2.What is the profession of Sunita?
a)engineer b)doctor c)teacher* d)can’t say e)none
3.Which of the following is the correct pair?
a)Mohini-Vinod and Rohan-Sunita*
b)Vinod-Mohini and Rohan-Nanu
c)Rohan-Sunita and Tanmay-Nanu
d)can’t say e)none
4.How many ladies are there in the family?
a)2 b)3* c)4 d)can’t say e)none
5.Which colour is liked by CA?
a)green* b)white c)white/green d)can’t say e)none
Solution:
(Engineer) Vinod- Mohini(Teacher)------------->(CA)Rohan-Sunita-----
----->Nanu&Tanmay(principal)
Vinod------------Red
Mohini-----------Orange
Rohan-------------Green
Sunita--------------White
Nanu---------------Black
Tanmay-----------Black
Mohini is mother-in-law of Sunita and grandmother of Nanu.
Vinod is grandfather of Tanmay.
So,Nanu and Tanmay represent third generation.
Mohini and vinod form a couple and represent first generation.
Rohan and Sunita form the other couple and represdent second generation.
Rohan is a CA.
Since,engineer is married,Vinod is engineer.
Given Vinod loves red colour.
Mohini is ateacher and likes Orange colour.
Nanu likes blue colour.
Tanmay is principal and likes black colour.
Sunita Nanu’s mother likes white colour.=>Rohan likes green colour.
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