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  1. Find the greatest number that divides 130, 305 and 245 leaving remainders 6, 9 and 17, respectively?
    1. 4
    2. 5
    3. 14
    4. 24
    5. None of the above
Correct Option: A

Given that,
x = 130, y = 305, z = 245
a = 6, b = 9, c = 17

According to the formula,
Required number = HCF of [(130 - 6), (305 - 9), (245 - 17)]
= HCF of 124, 296, 228 = 4.



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