GATE 2024 MN – Question 7

General Aptitude · Quantitative Aptitude: Algebra, Geometry and Mensuration · 2 marks · Multiple choice

Seven identical cylindrical chalk-sticks are fitted tightly in a cylindrical container. The figure below shows the arrangement of the chalk-sticks inside the cylinder.

The length of the container is equal to the length of the chalk-sticks. The ratio of the occupied space to the empty space of the container is

Practise this question in The GATE Grind →

Show answer and explanation

Correct answer: (B) 7/2

Explanation

If the chalk radius is $r$, the container radius is $3r$ (the central circle plus the diameter of an outer circle on each side). The container's cross-section is $9\pi r^2$ and the chalk occupies $7\pi r^2$, so the empty part is $2\pi r^2$. The ratio is $\frac{7}{2}$.

More Quantitative Aptitude: Algebra, Geometry and Mensuration questions

GATE 2023 MN Q9 – If x satisfies the equation 48x=256, then x is equal to .
GATE 2023 MN Q10 – Consider a spherical globe rotating about an axis passing through its poles. There are…
GATE 2022 MN Q3 – A trapezium has vertices marked as P, Q, R and S (in that order anticlockwise). The side…
GATE 2022 MN Q7 – Consider the following inequalities. (i) 2x-1>7 (ii) 2x-9<1 Which one of the following…
GATE 2022 MN Q8 – Four points P(0, 1), Q(0, −3), R(−2, −1), and S(2, −1) represent the vertices of a…
GATE 2026 AR — Architecture Q4 – Consider two distinct positive real numbers m, n, with m > n. Let x = n 10(m) and y = m…

All Quantitative Aptitude: Algebra, Geometry and Mensuration questions →