Soldiers in concentric circles
XAT 2026 · Quantitative Ability & Data Interpretation · Easy · Geometry
In a battle, the commander-in-chief arranges his soldiers in a formation of three concentric circles. The radii of the circles are in an arithmetic progression: the smallest radius is (meters) and the largest is . If each soldier is to be separated from the adjacent soldiers standing on the same circle by , how many soldiers are required to complete the formation? (Consider .)
- A.
660
- B.
1320
- C.
880
- D.
1980
- E.
440
D
Explanation
Let the three concentric circles be with radii . Given and , and since are in AP, .
The total perimeter of all three circles is:
Since soldiers are separated by on each circumference, the number of soldiers required is .
Related Geometry questions
- #1394Inscribed square between touching circles and tangentXATQADIMCQHard
- #1397Minimum cost of building wall around rectangular regionXATQADIMCQHard
- #1398Length of wooden sticks for puja pandal structureXATQADIMCQHard
- #1399Walking time between park gatesXATQADIMCQMedium
- #1449Ratio of Land AreasXATQADIMCQEasy
- #1456Circular Path RadiusXATQADIMCQHard
- #1491Triangle Angle BisectorsXATQADIMCQHard
- #1540Courier Agent Distance CalculationXATQADIMCQMedium
Practise this under exam conditions
Sign in to solve it with a live timer, the on-screen CAT calculator, and streak and accuracy tracking across every question you attempt.
Solve in the workspace