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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)

best_answer

$Acc. \: To\: question$

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

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

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

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

$899q+63=29p+r$

$Put \: q=1$

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

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

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

$Comparing \: c \: and\: d$

$R=5$

Posted by

rishi.raj

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