Question : The sides of a triangle are in the ratio $\frac{1}{3}: \frac{1}{5}: \frac{1}{6}$. If the perimeter is 147 cm, then the length of the smallest side is_____.
Option 1: 12 cm
Option 2: 25 cm
Option 3: 30 cm
Option 4: 35 cm
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
Correct Answer: 35 cm
Solution :
Given that the sides of a triangle are in the ratio $\frac{1}{3}: \frac{1}{5}: \frac{1}{6}$
And Perimeter = 147 cm
Let the sides be $\frac{x}{3},$ $\frac{x}{5},$ and $\frac{x}{6}$
According to the question,
$\frac{x}{3}+\frac{x}{5}+\frac{x}{6}=147$
⇒ $\frac{10x+6x+5x}{30}=147$
⇒ $21x=147\times 30$
⇒ $x=7\times 30 $
⇒ $x=210$ cm
⇒ Smallest side = $\frac{x}{6}=\frac{210}{6}=35$ cm
Hence, the correct answer is 35 cm.
Related Questions
Know More about
Staff Selection Commission Combined Grad ...
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
Get Updates Brochure
Your Staff Selection Commission Combined Graduate Level Exam brochure has been successfully mailed to your registered email id “”.
