Q. A boy asks his father, " what is the age of grand father?". Father replied " He is x years old in x^2 years", and also said, "we are talking about 20th century". what is the year of birth of grand father?

• 20th century means 1900 to 2000
  as He is x years old in x^2 years
  only square year in 20th century is 44^2=1936
  so Grandfather is 44 years old in 1936
  & year of birth of grand father is =1936-44=1892
  
• 10 years agoHelpfull: Yes(335) No(16)
• Ans : Year of birth of grandfather is 1892
  20th century means 1900 to 2000
  Find out square root of 2000.
  Sqrt(2000)=44.72 . So 44^2 1936.
  so Grandfather is 44 years old in 1936
  Year of birth of grandfather is =1936-44 =1892
  
• 10 years agoHelpfull: Yes(142) No(3)
• 20th century is 1900-2000
  here the grand fa age is x in x^2 years..so we have to consider x such that the square of x b/w 1900-2000
  the only x value is 44^2=1936
  so 1936-44=1892 ..so grand fa was born in 1892
  note: here 1892 means 19th century ..you may doubt that they are asking about 20th century but they are just talking about 20th century but the grandfather need not to born in 20th century.
• 10 years agoHelpfull: Yes(22) No(1)
• since they are in 20th century i.e.,1900s ....1936 is perfect square and hence square root of 1936 is 44....therefore x=44 x^2 is 1936...grandfather age is 1936-44=1892 is dob
• 10 years agoHelpfull: Yes(9) No(0)
• a/c to question x year in x^2 1900 to 2000
  1936=44*44
  means 44 year old in 1936
  birth age is 1892
• 9 years agoHelpfull: Yes(4) No(3)
• In 20th century, years are 1900-2000
  x^2 years he was x years.
  so we hv to find the value of x such that its square lies in 20th century.
  only sq of 44 lies in that interval.
  So 44^2= 1936.
  so his dob was 1936-44=1892
• 10 years agoHelpfull: Yes(3) No(0)
• Grandfather age is x in x^2 of 20th century... We know 20th century means 1900-2000.....so,x^2=2000,x=√2000=44.72...therefore grandfather was 44 years old in 44^2=1936...and D.O.B=1936-44=1892...
• 9 years agoHelpfull: Yes(3) No(0)
• Ans: x=x^2
  we are in 20 century
  take 45 as x then we get 2025
• 9 years agoHelpfull: Yes(2) No(3)
• grand father is 44 year old on 1936
• 10 years agoHelpfull: Yes(1) No(3)
• 44, given its 20th century that is his age was explained in 1900's.so check by random the square of whole numbers which is of 1900's
• 10 years agoHelpfull: Yes(1) No(1)
• in 20th century the only no which is a square of another no is 1936 square of 44.
  therefore as given in the question the age of the person is 44 in 1936,so the birth date will be (1936-44) = 1892
• 9 years agoHelpfull: Yes(1) No(0)
• 20th century is 1900-2000
  here the grand fa age is x in x^2 years..so we have to consider x such that the square of x b/w 1900-2000
  the only x value is 44^2=1936
  so 1936-44=1892 ..so grand fa was born in 1892
  note: here 1892 means 19th century ..you may doubt that they are asking about 20th century but they are just talking about 20th century but the grandfather need not to born in 20th century.
• 9 years agoHelpfull: Yes(1) No(0)
• 20th century means 2000 and sqrt(2000) is 44.72 so near integer is 44 and squre is 1936 which implies grand father age is 44 in 1936.birth year of grand father is 1936-44=1892
• 9 years agoHelpfull: Yes(1) No(0)
• 44 years old
  
• 9 years agoHelpfull: Yes(1) No(0)
• 20th century means 1900 to 2000
  as He is x years old in x^2 years
  only square year in 20th century is 44^2=1936
  so Grandfather is 44 years old in 1936
  & year of birth of grand father is =1936-44=1892
• 9 years agoHelpfull: Yes(1) No(0)
• 1980 . in 20 century square root is 45 of 2025. so he is 45 years old in 2025.by subtracting 45 from 2045 we get 1980.so answer is 1980.
• 9 years agoHelpfull: Yes(1) No(0)
• since they are in 20th century i.e.,1900s ....1936 is perfect square and hence square root of 1936 is 44....therefore x=44 x^2 is 1936...grandfather age is 1936
• 10 years agoHelpfull: Yes(0) No(2)
• 1892.
  say at as age x the year was x*x and the year should be between 1900-1999
  the only number between this which is a perfect square is 1936.
  which is 44*44.so grandfather's age was 44 on 1936.so the year of birth is 1936-44=1892.
• 10 years agoHelpfull: Yes(0) No(1)
• 2000 because in question they discussed abt 20th century
• 10 years agoHelpfull: Yes(0) No(7)
• 44^2=1936 (x^2)
  thus he is 44 in 1936
  year of birth=1892
• 10 years agoHelpfull: Yes(0) No(1)
• 1956
  20th c.e means square of his age must fall btwn 1900 to 2000
  so 44*44
  
• 10 years agoHelpfull: Yes(0) No(0)
• 44^2=1936(20th century).
  so the year is 1936-44=1892.
• 10 years agoHelpfull: Yes(0) No(0)
• 1892
  44 is only perfect square in 20th century
  so 44*44-44
• 9 years agoHelpfull: Yes(0) No(0)
• 1900 is the birth of his grand father,and the age of grand father is 44 in 1944, since 44^2=1944.which makes a fusible solution
• 9 years agoHelpfull: Yes(0) No(0)
• 44..
  45^2=2025
  lowest 44^2=1936
  so age is 44
• 9 years agoHelpfull: Yes(0) No(0)
• 20th century means 1900 to 2000
  
  44*44=1936
  
  1936-44=1892
• 9 years agoHelpfull: Yes(0) No(0)
• 44
  In 20th century there is only one year which is perfect square and that is 1936 hence the age of grandfather is square root of 1936 that is 44.
  
• 9 years agoHelpfull: Yes(0) No(0)
• 1892
  20th century 1900-2000
  44^2=1936
  44 yr in 1936 so birth yr- 1892
• 9 years agoHelpfull: Yes(0) No(0)
• grandfathers age in 1936 is 44 years because there is only on whole square in 20th century (1901 to 2000)
  
  therefore year of birth of grandfather is 1936-44=1892
• 9 years agoHelpfull: Yes(0) No(0)
• 20th century means 1900 to 2000
  as He is x years old in x^2 years
  only square year in 20th century is 44^2=1936
  so Grandfather is 44 years old in 1936
  & year of birth of grand father is =1936-44=1892
• 9 years agoHelpfull: Yes(0) No(0)
• in 1900 to 2000 1936 is only perfect square of 44 so grand father is 44 year old
• 9 years agoHelpfull: Yes(0) No(0)
• 1892
  44^2=1936
  1936-44=1892
• 9 years agoHelpfull: Yes(0) No(0)
• 44 ulhykojgio
• 9 years agoHelpfull: Yes(0) No(0)
• Ans : Year of birth of grandfather is 1892
• 9 years agoHelpfull: Yes(0) No(0)
• 44?
  as 44^2=1936 which is in 20th century
• 9 years agoHelpfull: Yes(0) No(0)
• 20th century means 1900-2000
  x years old in x^2 years is in between 1900-2000 the square root is possible only 44*44=1936
  so grandfather age is 1936-44=1892
  
• 9 years agoHelpfull: Yes(0) No(0)
• since they are in 20th century i.e.,1900s ....1936 is perfect square and hence square root of 1936 is 44....therefore x=44 x^2 is 1936...so grandfather 44th year in 1936 so year of birth of grandfather is 1936-44=1892
• 9 years agoHelpfull: Yes(0) No(0)
• the age of grandfather=x in x^2 yr and within 1900 to 2000 century period
  so x^2 must be in between 1900 to 2000,so max x between in this range is 44
  and 44^2=1936,so in 1936 age of grandfather was 44, so dob will be 1892 i.e.
  1936-44.
• 9 years agoHelpfull: Yes(0) No(0)
• 
  x year old in x^2 means.
  current 1936 is perfect square of 44. so in 1936 he is 44 year old. Date of birth is=1936-44=>1892
• 9 years agoHelpfull: Yes(0) No(0)
• it is 20 century so,,, 1936 is d only perfect square,, hence,,, 44 is d age,,,sp 1936-44=1892.. is dob...
• 9 years agoHelpfull: Yes(0) No(0)
• ans :1892
  in 20th century perfect square is only 1936.So x=sqrt(1936)=44
  So birth of grand father is 1936-44=1892
• 9 years agoHelpfull: Yes(0) No(0)
• grandfather is 108 yrs old
• 9 years agoHelpfull: Yes(0) No(0)
• 20th century means 1900-2000
  now find a no whose sq is less than 2000
  sqrt(2000)=44.72
  so 44^2 is under 2000
  so 44^2=1936
  so age is 44 years in the year 1936
  so year of birth= 1936-44=1892(ans)
• 9 years agoHelpfull: Yes(0) No(2)
• 1892
  in 20 th century 1936 is the only number which is square of 44
  so 1936-44=1892
• 9 years agoHelpfull: Yes(0) No(1)
• 20th century means 1900-2000
  square root of 2000=44
  his grandfather is 44 years old in 1936
  so his grandfather year of birth is 1892
• 9 years agoHelpfull: Yes(0) No(1)
• here x will be 44 and in 44^2 years i.e. in 1936 he was 44 years old,
  and his year of birth is 1892
• 9 years agoHelpfull: Yes(0) No(0)
• 44*44=1936
  1936-44=1892
• 9 years agoHelpfull: Yes(0) No(0)
• 20th century means 1900 to 2000
  as He is x years old in x^2 years
  find the Spuare root of 2000 is 44.72
  so (44)^2= 1936
  so grand father is x year old means 44 year old
  so 1936-44=1892
• 9 years agoHelpfull: Yes(0) No(0)
• 44
  
  44*44=1936.. which is a perfect square in the 20 th century
• 9 years agoHelpfull: Yes(0) No(0)
• 20th century 1900-2000
  squareroot of 2000 is 44.75 so 44 is taken appx.
  as he is x yrs old in x^2 so 44^2=44*44=1936
  1936-44=1892
• 9 years agoHelpfull: Yes(0) No(0)
• as 20th century means 1900 to 2000
  and he is X^2 years then only square root in 20th century is 44^2=1936
  that means grandfather is 44 year old in 1936
  so the year of birth f grand fathe is 1936-44=1892
• 9 years agoHelpfull: Yes(0) No(0)
• 44.
  As 44² =1936 only
• 9 years agoHelpfull: Yes(0) No(0)
• 20th century means its from 1900 to 2000. perfect square of in this range i 1936 so at this year he is 44 years old,so his birth year is 1936-44=1892
• 9 years agoHelpfull: Yes(0) No(0)
• 21st century is 2000 to 2100.
  similarly 20 centuary is 1900 to 2000.
  Now we have to find the term in between 1 to 100 years which lie in 1900 to 2000.
  45^2 = 2025 -- wrong
  Now 44^2 =1936 which lies between it.
  Grandfather is 44 years old in 1936 years
  and his DOB is 1936-44=1892.
  
• 9 years agoHelpfull: Yes(0) No(0)
• a/c to question x year in x^2 1900 to 2000
  1936=44*44
  means 44 year old in 1936
  birth age is 1892
• 9 years agoHelpfull: Yes(0) No(0)
• as they are talking about 20th century then square of age of grandfather must start from 20 . by hit and trial his age would be 45 in 2025. subtracting 45 from 2025 we get the year of birth as 1980
• 8 years agoHelpfull: Yes(0) No(0)
• 1892, bcos 44 is the only integer whose square is the year of 20th century.
• 8 years agoHelpfull: Yes(0) No(0)
• 20th century denotes that 1900 to 2000
  and he is x years old in x^2 years
  so from 1900 to 2000 only 1936 in which square satisfies
  so 44 year old in 1936 and year of birth of grand father is = 1936-44 = 1892
• 8 years agoHelpfull: Yes(0) No(0)
• The age of the father is 44 in 1936 because the square of 44 is 1936
• 8 years agoHelpfull: Yes(0) No(0)
• 44^2=1936 and 1936-36=1892
• 8 years agoHelpfull: Yes(0) No(0)
• 44^2 is the only one comes under 20th century=1936 so birth year is 1936-44=1892
• 8 years agoHelpfull: Yes(0) No(0)
• Ans : Year of birth of grandfather is 1892
  20th century means 1900 to 2000
  Find out square root of 2000.
  Sqrt(2000)=44.72 . So 44^2 1936.
  so Grandfather is 44 years old in 1936
  Year of birth of grandfather is =1936-44 =1892
  
• 8 years agoHelpfull: Yes(0) No(0)
• His age is 45 in 2025 and the year of birth is 1980
• 8 years agoHelpfull: Yes(0) No(1)
• The solutions submitted in the website are no doubt correct. Yet, they all have one common flaw which is, every solution takes the 19th century from 1900 to 2000. It is actually from 1st January 1901 to 31st December 2000.
• 8 years agoHelpfull: Yes(0) No(0)
• 44^2=1936
  which is a year of 20th century
• 8 years agoHelpfull: Yes(0) No(0)
• 44 is the answer
  44 years in 1936 year which means 20th century.
• 8 years agoHelpfull: Yes(0) No(0)
• x year old in x^2 year means 44^2=1936
  1936-44=1892
  ans the age of grand father is 44
• 8 years agoHelpfull: Yes(0) No(0)
• 20th century is 1900-2000
  here the grand fa age is x in x^2 years..so we have to consider x such that the square of x b/w 1900-2000
  the only x value is 44^2=1936
  so 1936-44=1892 ..so grand fa was born in 1892
  
• 8 years agoHelpfull: Yes(0) No(0)
• a/c to question x year in x^2 1900 to 2000
  1936=44*44
  means 44 year old in 1936
  birth age is 1892
• 7 years agoHelpfull: Yes(0) No(0)
• 1936 is the square no. in between 1900 and 2000.it is the sqrt of 44.so grand father is 44 yaer old in 1936.therefore birth year=1936-44= 1892
  
• 7 years agoHelpfull: Yes(0) No(0)
• ans is 1892
• 5 years agoHelpfull: Yes(0) No(1)
• 44^2=1936
  it is the omly number who follow the above criteria of 20th century
• 5 years agoHelpfull: Yes(0) No(0)
• The answer is x=44.
  Because as mentioned they are talking about 20th century i.e from 1900 to 1999.
  x^2 should be between these years.
  only x=44 satisfies this condition.
• 4 years agoHelpfull: Yes(0) No(0)
• 20th century means 1900 to 2000
  x square must lay in between 20th century
  
  Answer is : 44
  44^2 =1936.
• 4 years agoHelpfull: Yes(0) No(0)
• 1936.because x=start x
• 3 years agoHelpfull: Yes(0) No(0)
• a/c to question x year in x^2 1900 to 2000
  1936=44*44
  means 44 year old in 1936
  birth age is 1892
• 3 years agoHelpfull: Yes(0) No(0)