SSC CGL 2024 PYQ — Question 54

SSC CGL - 23 Sep 2024 - Shift 1 • Quantitative Aptitude • Q54

Find the length of the longest stick that can be fitted in a cubical vessel of edge 70 cm.

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 70 3 {\sqrt{3}} cm

For a cube with edge length a

⇒ d = a2+a2+a2\sqrt{a^2+a^2+a^2}

⇒ d = 3a2\sqrt{3a^2}

⇒ d = a3\sqrt{3}

⇒ d = 703\sqrt{3}