Two numbers are in the ratio of 3 5 If their HCF is 8 then find the numbers ........

Quantitative Aptitude (MTS) LCM, HCF

Two numbers are in the ratio of 3 : 5. If their HCF is 8, then find the numbers.

This questions was previously asked in

SSC MTS 18th July 2022 Shift-1

36 and 60

12 and 30

48 and 80

24 and 40

- The ratio given is 3:5. This means the numbers can be expressed as 3x and 5x.

- The HCF (Highest Common Factor) is 8. This implies both 3x and 5x individually are divisible by 8.

- Thus, x must be 8 since it's a common factor applied to both numbers.

- If x = 8, then the numbers are 3*8 = 24 and 5*8 = 40.

Let's verify with the given options:

- Option 1: 36 and 60 - Their ratio is not 3:5.

- Option 2: 12 and 30 - Their ratio is not 3:5.

- Option 3: 48 and 80 - Their ratio is 3:5, but HCF is 16, not 8.

- Option 4: 24 and 40 - This ratio is 3:5 and HCF is 8 as needed.

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