Question

Divide 1806 into three parts such that the first part be thrice the third part and the second part be $\frac{1}{5}$of the third. Find the third part?

• A. 1290
• B. 430
• C. 86
• D. 460

Answer 1

The correct option is B 430

Let first part = X, second part = Y and third part = Z, then

It is given that, X = 3Z and Y =$\frac{Z}{5}$

Also, X + Y + Z = 1806

$\Rightarrow 3Z+\frac{Z}{5}+Z=1806$

$\Rightarrow \frac{21Z}{5}=1806$

⇒ Z = 430

Hence, option B is the correct answer.