Find the smallest number when it is multiplied by 392 , then the product is perfect cube.
in Mathematics
38 views
1 Vote
1 Vote
Find the smallest number when it is multiplied by 392 , then the product is perfect cube.

(a) 3

(b) 5

(c) 6

(d) 7
in Mathematics
by
7.2k Points

1 Answer

1 Vote
1 Vote
 
Best Answer

Solution:

$$

\begin{aligned}

\begin{array}{r|l}

2 & 392 \\

\hline 2 & 196 \\

\hline 2 & 98 \\

\hline 7 & 49 \\

\hline & 7 \\

\therefore \quad 392= & 2 \times 2 \times 2 \times 7 \times 7 \\

= & (2)^{3} \times 7 \times 7

\end{array}

\end{aligned}

$$

$\therefore$ The required no. $=7$; Ans.

Therefore, the correct option is (D)

Selected by
by
7.2k Points

Related Questions

Welcome To Informesia

Informesia Helps You To Prepare India's All States Board Exams (CBSE, ICSE, UP Board, BSEB, HPBOSE, RBSE, MSBSHSE) and Competitive Exam Like JEE (Main + Advanced), AIIMS, NEET, KVPY, NTSE, BITSAT, Olympiad, CLAT...etc.
For Any Query or Suggestion, Please Contact us on :
[email protected]

Connect us on Social Media