Latest TCS Aptitude Question SOLUTION: (p/q)-(q/p)=21/10 then (4p/q)+(4q/p)=?

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(#M40117546) TCS Numerical Ability question Apptitude Keep an EYE

(p/q)-(q/p)=21/10
then
(4p/q)+(4q/p)=?

Asked In TCS TANGETI RAJU (9 years ago)

Unsolved Read Solution (4)

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Read Solution (4) :

Surit Datta  (9 years ago)

let p/q = a
so q/p = 1/a
so according to the question,
(a - 1/a) = 21/10
after squaring both side we get,
(a - 1/a)^2 = 441/100
so,
(a + 1/a)^2 - 4*a*1/a = 441/100
so,
(a + 1/a)^2 = 441/100 + 4 = 841/100
so,
(a + 1/a) = sqrt(841/100) = 2.9
as we want 4*(a + 1/a)
which is 2.9*4 = 11.6

Is this solution Helpfull? Yes (6) | No (2)  

Sakshi Dikshit  (9 years ago)

11.6 or 58/5

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TANGETI RAJU  (9 years ago)

can you xpain me how you got it?

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Shintala Divya  (9 years ago)

let (p/q)=a,(q/p)=b
a-b=21/10=>(a-b)^2=(a+b)^2-4ab
(21/10)^2 = (a+b)^2-4*1,(since ab=(p/q)(q/p)=1)
sqrt( (441/100) +4)= (a+b)
(a+b)=2.9
4a+4b=4(2.9)=11.6 (ans)

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