5. If one number is divided by 345, the
remainder is 35. If the same number is divided
by 15, what is the remainder ?
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Answer:
Let the number be “Y” Y=345*X+35 Y/15 = ( 345*x)/15+35/15 345 HAS A FACTOR 15 345/ 15 = 23 SO NO ADDITIONAL REMAINDER ...
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Explanation:
f quotient is x then number will be
345x+35
because 345 is completely divisible by 15
so what ever may be the value of x
the term 345x will be completely divisible by 15
so remainder will depend on 35
when it is divided by 15
remainder will be 5.
So in every case
remainder will always be 5
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