Latest TCS Aptitude Question SOLUTION: Asked in TCS 08-03-2014 off campus test a^2*b^2+a^2+b^2=259 b^2*c^2+b^2+c^2=1299 c^2*a^2+c^2+a^2=499 then find a+b+c=?

• Placement Papers
• /
• TCS
• /
• Numerical Ability
• /
• Number System

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

(#M40033952) TCS Numerical Ability question algebra Keep an EYE

Asked in TCS 08-03-2014 off campus test

a^2*b^2+a^2+b^2=259
b^2*c^2+b^2+c^2=1299
c^2*a^2+c^2+a^2=499
then find a+b+c=?

Asked In TCS Vempa Siddhartha (10 years ago)

Solved meduri deepika Read Solution (4)

Is this Puzzle helpful?   (4)   (0) Submit Your Solution Number System

Read Solution (4) :

meduri deepika  (10 years ago)

a^2*b^2+a^2+b^2+1= (a^2+1)(b^2+1)
by using above one we can write
a^2*b^2+a^2+b^2+1=260..(1)
b^2*c^2+b^2+c^2+1=1300..(2)
c^2*a^2+c^2+a^2+1=500..(3)
by doing (1)/(2) we will get a^2+1/c^2+1 = 1/5..(4)
by doing (4)*(3) we will get (a^2+1)^2=10,
by solving a=3, b=5,c=7
so a+b+c=15

Is this solution Helpfull? Yes (23) | No (4)  

Rukhsar Fatma  (10 years ago)

In this type question you can choose a option that is most probable from the options.I just choose the option b) i.e.15 and break it into a=3,b=5,c=7 than i put these values in these 3 equations and these values are satisfying the all of these equations so answer is
(a+b+c)=15.
Remember one thing always if you have min 3 to 5 mins than only you can apply this method ...

Is this solution Helpfull? Yes (3) | No (1)  

Ganesh  (10 years ago)

Hint (x^2-1)(y^2-1)= (xy)^2 + x^2 + y^2 +1
so we get
a^2*b^2+a^2+b^2=259 => (a^2-1)(b^2-1)= 259+1=260 ... (1)
b^2*c^2+b^2+c^2=1299 => (b^2-1)(c^2-1)= 1299+1 = 1300 ... (2)
c^2*a^2+c^2+a^2=499 => (c^2-1)(a^2-1)= 499+1 = 500 ... (3)

Divide (1)/(2) we get (a^2-1)/(c^2-1)=1/5 ....(4)
Multiply (4) * (3) and solve for a
divide (4) / (3) and solve to get c
and den solve for b
Then you'll get a+b+c value
Remember... if it maybe a dummy question so you may not find the correct answer in the options

Is this solution Helpfull? Yes (2) | No (5)  

vishnuvardhan  (10 years ago)

put get a=3,b=5,c=7
so a+b+c=15

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

Please Login to Read Solution.