The HCF and LCM of two number are 8 and 224 respectively If the ratio of the two number is 4 7 then ...........

Quantitative Aptitude (MTS) LCM, HCF

The HCF and LCM of two number are 8 and 224,respectively.If the ratio of the two number is 4:7,then the greater of the two

numbers is:

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SSC MTS 11th October 2021 Shift-3

- We are given that the HCF (Highest Common Factor) is 8 and the LCM (Lowest Common Multiple) is 224.

- The ratio of the two numbers is 4:7. Let the numbers be 4x and 7x.

- The formula for the product of the two numbers is: HCF × LCM = Number1 × Number2.

- Substituting the given values: 8 × 224 = 4x × 7x.

- Solve: 1792 = 28x² ? x² = 64 ? x = 8.

- The two numbers are 4x = 32 and 7x = 56.

- The greater number is 56, which matches Option 4.

Option:4 - 56

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