Eight persons p, q, r, s, t, u, v and w are born in different months of the same year viz., march, april, june, july, august, september, october and december but not necessary in the same order. V is born in one of the months which have 31 days after march and before october. Two persons are born between w and v. Only one person is born between w and r. As many persons are born before r is one less than the number of persons born after p. As many persons born between r and t is same as the number of persons born between s and r. U is born in one of the months after s
Answers
Given : Eight persons p, q, r, s, t, u, v and w are born in different months of the same year viz., march, april, june, july, august, september, october and december
To Find : Who born in which month
Solution:
march, april, june, july, august, september, october and december
31 30 30 31 31 30 31 31
V is born in one of the months which have 31 days after march and before october. Possible months are July and August
Taking case V is born in July
Two persons are born between w and v.
Hence W is born either in March or October
Only one person is born between w and r
Hence R is born in June or August
march, april, june, july, august, sep , oct dec
W R V
V R W
As many persons born between r and t is same as the number of persons born between s and r.
so W R V is not possible
march, april, june, july, august, sept , oct dec
S/T V R W S/T
U is born in one of the months after s
Hence S can not born in Dec
march, april, june, july, august, sep , oct dec
S V R W T
As many persons are born before r is one less than the number of persons born after p.
born before R = 4
born after P = 5
march, april, june, july, august, sep , oct dec
S P V R W T
U is born in one of the months after s
march, april, june, july, august, sep , oct dec
Q S P V R U W T
Check case 2 :
V is born in August
Two persons are born between w and v.
Hence W is born either in April or December
Only one person is born between w and r
Hence R is born in July or Sep
march, april, june, july, august, sep , oct dec
W R V
V R W
As many persons born between r and t is same as the number of persons born between s and r.
so V R W is not possible
march, april, june, july, august, sept , oct dec
S/T W R V S/T
born before R = 3
born after P = 4
so P also born in July Hence not possible
So correct answer is case 1 only :
march, april, june, july, august, sep , oct dec
Q S P V R U W T
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