GATE 2023 AR — Architecture – Question 3

General Aptitude · Quantitative Aptitude: Data Interpretation, Arithmetic and Number Computation · 1 mark · Multiple choice

A certain country has 504 universities and 25951 colleges. These are categorised into Grades I, II, and III as shown in the given pie charts.

What is the percentage, correct to one decimal place, of higher education institutions (colleges and universities) that fall into Grade III?

Diagram for GATE 2023 AR — Architecture question 3

22.7
23.7
15.0
66.8

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Show answer and explanation

Correct answer: (A) 22.7

Explanation

Grade III universities: $0.07 \times 504 = 35.28$. Grade III colleges: $0.23 \times 25951 = 5968.73$. The total in Grade III is $6004.01$ out of $504 + 25951 = 26455$ institutions, which is $\frac{6004.01}{26455} = 22.7\%$.

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