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GATE 2024 MA – Question 5

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

The girls:boys ratio in class VIII equals boys:girls in IX. Class totals are 450 and 360, with equal girl counts in both classes. Find girls per class.

  1. 150
  2. 200
  3. 250
  4. 175

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Show answer and explanation

Correct answer: (B) 200

Explanation

Let girls per class be g. Then $g/(450-g)=(360-g)/g$, so g²=162000−810g+g². Thus g=162000/810=**200, B**.

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