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  • The largest number which divides 70 and 125, leaving remainders 5 and 8, respectively, is (A) 13(B) 65 (C) 875 (D) 1750

The largest number which divides 70 and 125, leaving remainders 5 and 8, respectively, is
  (A) 13              (B) 65              (C) 875                        (D) 1750

Answers (1)

Answer.          [A]      

Solution.  First of all subtract remainder from the given number.

(70 – 5) = 65
(125 – 8) = 117
Require number is HCF of 65 and 117

                       
65 = 5 × 13 × 1
117 = 3 × 3 × 13 × 1
HCF = 13
Hence 13 is the largest number which is divides by 70 and 120 & leaves remainder 5 and 8.
Therefore, option (A) is correct.

Posted by

infoexpert27

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