GATE 2021 BM – Question 10

General Aptitude · Quantitative Aptitude: Data Interpretation, Arithmetic and Number Computation · 2 marks · Multiple choice

In equilateral triangle PQR, PQ is divided into four equal parts, QR into six equal parts, and PR into eight equal parts. Every subdivided length in cm is an integer. Find the minimum area in cm².

18
24
$48\sqrt3$
$144\sqrt3$

Practise this question in The GATE Grind →

Show answer and explanation

Correct answer: (D) $144\sqrt3$

Explanation

The common side length must be divisible by four, six and eight. Their least common multiple is twenty-four centimetres. An equilateral triangle has area √3 a²/4, so the minimum is √3×24²/4=144√3 cm², D.

More Quantitative Aptitude: Data Interpretation, Arithmetic and Number Computation questions

GATE 2020 BM Q5 – Find the difference between the sum of the first 2n natural numbers and the sum of the…
GATE 2020 BM Q8 – Delhi and Agra are 233 km apart. Car P leaves Delhi and car Q leaves Agra toward Delhi one…
GATE 2020 BM Q10 – The chart gives annual profit percentages of companies P and Q for 2013–2018. Both invest…
GATE 2026 CS (CS1) Q3 – Consider a knock-out women’s badminton singles tournament where there are no ties. The…
GATE 2026 CS (CS1) Q4 – A student needs to enroll for a minimum of 60 credits. A student cannot enroll for more…
GATE 2026 CS (CS1) Q8 – For positive real numbers S and K, the function H K(S) is defined as H K(S) = (S - K, 0).…

All Quantitative Aptitude: Data Interpretation, Arithmetic and Number Computation questions →