NIMCET 2019 Question Paper with solutions

Question : 90 of 120

Marks: +1, -0

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

Solution:

HCF of

(1657-6=1651)

and

(2037-5=2032)

1651)2023(1

\;\;1651

––––––

381)1651(4

\;1524

––––––

127)381(3

381

––––––
x
––––––
∴ Required greatest number = 127

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