Home › Previous year questions › GATE 2021 PH › Question 10GATE 2021 PH – Question 10 General Aptitude · Quantitative Aptitude: Algebra, Geometry and Mensuration · 2 marks · Multiple choice
In equilateral triangle PQR, PQ is divided into four equal parts, QR into six and PR into eight. Each part has integer length in cm. The minimum area in cm² is
18 24 $48\sqrt3$ $144\sqrt3$ Practise this question in The GATE Grind →
Show answer and explanation Correct answer: (D) $144\sqrt3$
Explanation The side must be divisible by 4,6,8, whose least common multiple is 24. The area is $\sqrt3(24)^2/4=144\sqrt3$.
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