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Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.

Question:
Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.

[A].

4

[B].

7

[C].

9

[D].

13

Answer: Option A

Explanation:

Required number = H.C.F. of (91 – 43), (183 – 91) and (183 – 43)

     = H.C.F. of 48, 92 and 140 = 4.