Two numbers are in the ratio 5 11 If their HCF is 24 then the sum of two these numbers is ........

Quantitative Aptitude (CPO) LCM, HCF

Two numbers are in the ratio 5 : 11. If their HCF is 24, then the sum of two these numbers is:

This questions was previously asked in

SSC CPO 13th-March-2019-Shift-1

384

408

120

264

- Two numbers are in the ratio 5:11. Let the numbers be 5x and 11x.

- Given, the HCF of these numbers is 24. So, x must be 24.

- Therefore, the numbers are 5 × 24 = 120 and 11 × 24 = 264.

- The sum of these numbers is 120 + 264 = 384.

- Option 1: 384 - This is the sum of the two numbers.

- Option 2: 408 - This is incorrect, as it does not match the calculated sum.

- Option 3: 120 - This is incorrect, as it represents one of the numbers.

- Option 4: 264 - This is incorrect, as it represents the other number.

The correct answer is Option 1: 384.

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