A number when divided by 627 leaves a remainder 43. By dividing the same number by 19, the remainder will be-
Created: 9 months ago | Updated: 3 months ago
Job Solution Combined Bank (সমন্বিত ব্যাংক) অফিসার (ক্যাশ) নিয়োগ পরীক্ষা- ১২-১০-২০১৮ গণিত
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Let number be the x.

We know that, dividend = divisor X quotient + remainder When x is divided by 627, the remainder is 43.

x = 627k+ 43, where k is quotient.

Here x is multiple of 627.

Let us consider the factor s of 627, 6273 × 19 × 11

We have to find the remainder when dividing by 19 so expressing the equation in term of 19 is helpful.

As 4319x2+5 

Therefore x = 3 × 19 × 11 × k+ (19×2+5)=19(33k+2) +5 x = 19(33k+2) +5

So, on dividing x by 19 the remainder will be 5.

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