ABC26GN1463 · Square Roots and Cube Roots

Subject: General Aptitude · Chapter: Square Roots and Cube Roots · Exam: 2008 · Marks: · Difficulty:

$1728 \div \sqrt[3]{262144} \times ?-288=4491$
(a)148
(b)156
(c)173
(d)177
Answer
Answer (as printed): D
Explanation
$262144=8 \times 8 \times 8 \times 8 \times 8 \times 8=8^{6}$. $$\therefore \sqrt[3]{262144}=8^{2}=64 .$$ Let $1728 \div \sqrt[3]{262144} \times x-288=4491$. Then, $1728 \div 64 \times x-288=4491$ $$\begin{aligned} & \Leftrightarrow 27 x=4779 \\ & \Leftrightarrow x=\frac{4779}{27}=177 . \end{aligned}$$ 8 | 262144 ; 8 | 32768 ; 8 | 4096 ; 8 | 512 ; 8 | 64 ; 8

Explanation as extracted from the printed page; notation may be imperfect.

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