A certain number, when divided by 899, leaves a remainder 63. Find the remainder when the same number is divided by 29.

  • Option 1)

    5

  • Option 2)

    4

  • Option 3)

    1

  • Option 4)

    3

  • Option 5)

    Can't\: be \: determined

Answers (1)

      Acc. \: To\: question

X=899q+63.........a

Now\: the\: same\: number \: is \: divided \: by\: 29\: to \: get

X=29p+r.........b

Comparing \: eq.\: a \: and\: b

899q+63=29p+r

Put \: q=1

962=29p+r.........c

So \: now \: on \: dividing \: 962 \: by\: 29\: we \: get

962=29(33)+5.........d

Comparing \: c \: and\: d

R=5

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