Latest TCS Aptitude Question SOLUTION: When 8-year-old Samantha visited Santa at the local department store, the old man posed a riddle to her. He said, “I started work when I was 13. I spent 1/6 of my working life in

• Placement Papers
• /
• TCS
• /
• Numerical Ability
• /
• Age Problem

TCS Question Papers: TCS Interview Experience(90) TCS Company Profile

(#M40084473) TCS Numerical Ability question age problem Keep an EYE

When 8-year-old Samantha visited Santa at the local department store, the old man
posed a riddle to her. He said, “I started work when I was 13. I spent 1/6 of my
working life in a factory, then 1/4 of my working life in an office, and then 1/6 of my
working life as a school caretaker. Then for the last 32 years of my working life I’ve
been Santa Claus. How old am I?

Asked In TCS REHAN AHMAD (9 years ago)

Unsolved Read Solution (20)

Is this Puzzle helpful?   (22)   (7) Submit Your Solution Age Problem

Read Solution (20) :

riya ghosh  (9 years ago)

let work life be x
so age is x+13
x-[x/6+x/4+x/6]=32

which gives x= 76.8 yrs or approx 77yrs.
so age is x+13

i.e 77+13= 90 yrs

Is this solution Helpfull? Yes (36) | No (7)  

abhishek singh  (9 years ago)

all the above ans are wrong.
the correct ans is:

let the total number of working years be x.
then
x/6+x/4+x/6+32=x
solving this we get the value of x as 77(approx).
therefore the age of santa is 77+13=90
90 is the correct answer.

Is this solution Helpfull? Yes (21) | No (3)  

mayank agarwal  (9 years ago)

@DEBALINA DEY :

Your approach is correct but You must add 13 to this add as 13 is also counted in the age.

13+(x-13)/6+(x-13)/4+(x-13)/6+32=x

Where x is his total age ( Note : He is taking fractions of his working life.)

So... X= 89.2 ANS.

Is this solution Helpfull? Yes (17) | No (8)  

Anindita  (9 years ago)

1/6+1/4+1/6=7/12

1-7/12=5/12
5/12x=32
x=78.8
total age=78.8+13
=89.8(90 approx)

Is this solution Helpfull? Yes (7) | No   

Rahul Das  (9 years ago)

i think answer will be 108
let the present age of the old man is x
13+x/6+x/4+x/6+32=x
x=108

Is this solution Helpfull? Yes (6) | No (11)  

pankaj kumar  (9 years ago)

http://mamsmathchallenge.wikispaces.com/file/view/How+old+is+Santa+Packet.pdf

Is this solution Helpfull? Yes (4) | No (1)  

jagjit singh  (9 years ago)

109 yrs
as 96+13=109

Is this solution Helpfull? Yes (3) | No (2)  

pooja chakraverty  (9 years ago)

LET THE WORKING AGE OF THE OLD MAN BE X.
THEN ACCORDING TO QUESTION HE HAD SPEND 1/6,1/4,1/6 OF HIS AGE IN FACTORY,OFFICE AND SCHOOL CARETAKER.SO,
X-(1/6+1/4+1/6)X=15x/36
now rest of working life as santa so,
15x/36=32
x=76.5
total life 76.5+13=89.5

Is this solution Helpfull? Yes (2) | No   

kanishk kalra  (9 years ago)

There can be plenty of approaches to solve this problem. Some of them have been discussed in the solution already. I am providing another substitute for the same which can be solved in less time, with less computations involved.
Consider the sum of the fractions of the working life of shopkeeper ie 1/6+1/4+1/6=20/120+30/120+20/120=7/120.
Method:Break them into respective portions, so that it basically forms a proper portion of the fraction(you can reduce the fractions with other combinations also). Reduce the fractions such that they result in the same denominator.
So subtracting the numerator and denominator results in 50/deno=50/120 is what we get.
For the last 32 working years the shopkeeper has been a santa claus.
So the fraction of time for which he has been a santa claus=120/50*32=76.8 years=77 yrs(approx)
Since the shopkeeper started working when he was 13, so 77+13=90(ANS)

Is this solution Helpfull? Yes (2) | No   

DEBALINA DEY  (9 years ago)

i think the answer will be 58.6
let the age of the old man is x
(x-13)/6+(x-13)/4+(x-13)/6+32=x
so x=58.6

Is this solution Helpfull? Yes (1) | No (4)  

raunaque.afroz  (9 years ago)

let working days=x
nw 1/6th of workng days+1/4th working day +1/6 working day+32
we will also add 13
so 13+32+1/6x+1/4x+1/6x=x
108 is correct ans..

Is this solution Helpfull? Yes (1) | No (2)  

purba mondal  (9 years ago)

NOW 89.8==90YEARS

Is this solution Helpfull? Yes (1) | No   

REHAN AHMAD  (9 years ago)

please explain your answer

Is this solution Helpfull? Yes | No (1)  

paramita saha  (9 years ago)

13+(x/6+x/4+x/6)+32=x
ans is 108

Is this solution Helpfull? Yes | No (4)  

sushma  (9 years ago)

60 because his age mention is 32

Is this solution Helpfull? Yes | No (2)  

geetha  (9 years ago)

I need full tcs placement papers mail me geethageetha938@gmail.com

Is this solution Helpfull? Yes | No (2)  

vemuri sreevalli  (9 years ago)

let x =total present age of old man
working age of old man=x-12.
1/6(x-12)+1/4(x-12)+1/6(x-12)+32=x
on solving
5x=384-84
x=60
so the age of old man is 60 years.

Is this solution Helpfull? Yes | No   

Priyanka Paul  (9 years ago)

x=89.8, and
x=13+32+2*(x-13)/6+(x-13)/4;
hence, x=89.8

Is this solution Helpfull? Yes | No (1)  

raghavendra  (8 years ago)

great man living till at 98

Is this solution Helpfull? Yes | No   

someshwar reddy  (7 years ago)

let x be the total age
then
x/6+x/6+x/4+32=x
x~=77
total age 77+13=90

Is this solution Helpfull? Yes | No   

Please Login to Read Solution.