Solve 1728 ÷ 3√(262144) × ?-288=4491 · ABC26GN1481

Subject: General Aptitude · Chapter: Square Roots and Cube Roots

Solve $1728 \div \sqrt[3]{262144} \times ?-288=4491$
(a)148
(b)156
(c)173
(d)177
(e)185 [United India Insurance Co. Ltd. (UIICL) Assistant (Online) Exam, 2015]
Answer
Answer (as printed): D
Explanation
Given: $1728 \div \sqrt[3]{262144} \times ?-288=4491$ $$\begin{aligned} & \Rightarrow 1728 \div \sqrt[3]{64 \times 64 \times 64} \times ? \\ & =4491+288 \\ & \Rightarrow \frac{1728}{64} \times ?=4779 \\ & \Rightarrow 27 \times ?=4779 \\ & \Rightarrow ?=\frac{4779}{27}=177 \end{aligned}$$

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

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