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A gardener has 1826 red flowers and 2486 yellow flowers. He wants to arrange them into the largest possible equal groups such that each group has the same number of red and yellow flowers. What is the maximum number of flowers in each group?

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RPF Constable 2024 Official Paper (Held On 02 Mar, 2025 Shift 2)
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  1. 33
  2. 10
  3. 11
  4. 22

Answer (Detailed Solution Below)

Option 4 : 22
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Detailed Solution

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Given:

Red flowers = 1826

Yellow flowers = 2486

Formula used:

We need to find the greatest common divisor (GCD) of the two numbers to determine the largest possible equal groups.

Calculation:

Finding GCD of 1826 and 2486

Prime factorization:

1826 = 2 × 11 × 83

2486 = 2 × 11 × 113

Common factors = 2 × 11

GCD = 2 × 11 = 22

∴ The correct answer is option (4).

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