Two containers contains 765 litres and 833 litres of liquid, respectively. The maximum capacity of container that can measure the liquid of both containers is:

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SSC GD Constable 2025 Official Paper (Held On: 07 Feb, 2025 Shift 3)
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  1. 19 litres
  2. 21 litres
  3. 15 litres 
  4. 17 litres 

Answer (Detailed Solution Below)

Option 4 : 17 litres 
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Detailed Solution

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Given:

Container 1 contains liquid = 765 litres.

Container 2 contains liquid = 833 litres.

Formula Used:

To find the maximum capacity of the container that can measure the liquid of both containers, we calculate the HCF (Highest Common Factor) of the two given quantities.

Calculation:

Finding the HCF of 765 and 833:

Step 1: Perform prime factorization of the numbers.

765 = 3 × 3 × 5 × 17

833 = 7 × 7 × 17

Step 2: Identify the common factors.

The only common factor is 17.

HCF = 17

The maximum capacity of the container that can measure the liquid of both containers is 17 litres.

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