Which is the largest number that divides 17, 23, 35, 59 to leave the same remainder in each case ?

**(A)** 2

**(B)** 3

**(C)** 6

**(D)** 12

**Answer:** **(C)** **Explanation:** Required Number = HCF (23-17, 35-23, 59-35, 59-17)

Required Number = HCF (6, 12, 24, 42) = 6

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