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The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is:

Question:
The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is:

[A].

123

[B].

127

[C].

235

[D].

305

Answer: Option B

Explanation:

Required number = H.C.F. of (1657 – 6) and (2037 – 5)

  = H.C.F. of 1651 and 2032 = 127.