Latest TCS Aptitude Question SOLUTION: find the smallest number in GP whose sum is 38 and product is 1728

• Placement Papers
• /
• TCS

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

(#M40002958) TCS question Keep an EYE

find the smallest number in GP whose sum is 38 and product is 1728

Asked In TCS Nitish Kumar (12 years ago)

Solved saurav kumar sinha Read Solution (2)

Is this Puzzle helpful?   (11)   (2) Submit Your Solution

Read Solution (2) :

saurav kumar sinha  (12 years ago)

Let x,y,z be the numbers in geometric progression?
y^2=xz
x+y+z=38
xyz=1728
xyz = xzy = y^2y = y^3 = 1728
y = 12
y^2=xz=144
z=144/x
x+y+z = x+12+144/x = 38
x^2+12x+144=38x
x^2-26x+144=0
(x-18)(x-8)=0
x=8,18
If x =8, z = 38-8-12=18
The numbers are 8,12, 18

Their sum is 38
Their product is 1,728

The smallest number is 8

Is this solution Helpfull? Yes (17) | No   

ALKA  (12 years ago)

38r^2+1728r+1728=0

solve for r?

Is this solution Helpfull? Yes | No (7)  

Please Login to Read Solution.