Question : 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?
Option 1: 16
Option 2: 8
Option 3: 12
Option 4: 4
Answer (1)
14th Jan, 2024
Correct Answer: 16
Solution :
x = 224, y = 322
HCF(Highest Common Factor) of a and b is the highest number that divides a and b exactly, leaving the remainder 0.
23 × 224 = a × 322
⇒ a = $\frac{224}{14}$
$\therefore$ a = 16
Hence, the correct answer is 16.
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