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General Aptitude
Quantitative Aptitude
GATE 2023
Medium

A certain country has 504 universities and 25951 colleges. These are categorised into Grades I, II, and III. Universities: Grade I=31%, Grade II=62%, Grade III=7%. Colleges: Grade I=9%, Grade II=68%, Grade III=23%. What is the percentage, correct to one decimal place, of higher education institutions (colleges and universities) that fall into Grade III?

  • 22.7
  • B23.7
  • C15.0
  • D66.8

Explanation

Grade III universities = 504 x 0.07 = 35.28. Grade III colleges = 25951 x 0.23 = 5968.73. Total Grade III = 6004.01. Total institutions = 504+25951 = 26455. Percentage = 6004.01/26455 x 100 = 22.7%.

Source: GATE ME 2023 Official Paper (2023)

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