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1. A number when divided by 627 leaves a remainder 43. By dividing the same number by 19, the remainder will be-
- A. 32
- B. 32
- C. 32
- D. 32
Answer: Option D
Explanation:
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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