Multiple Choice Questions

Let x 224 and y 322 If the highest common factor of 23x and a times y is divisible by x and y then w...........

Quantitative Aptitude (CPO) Number System

Let x = 224 and,y = 322. If the highest common factor of 23x and a×y is divisible by x and y, then what can be the possible value

of a?

This questions was previously asked in

SSC CPO 11th Nov 2022 Shift 3

- Let's analyze the problem:

- $x = 224$ and $y = 322$ .

- We have to find $HCF (23 x, a \times y)$ .

- This HCF must be divisible by both $x$ and $y$ .

- Calculate $23 x = 23 \times 224$ .

- We want $HCF (23 \times 224, a \times 322)$ to be divisible by both $224$ and $322$ .

- If $a = 8$ :

- $a \times y = 8 \times 322$ .

- Check if the HCF of $23 \times 224$ and $8 \times 322$ can be divisible by both $224$ and $322$ .

- Correct Answer: Option 2: 8

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