NumbersA number being divided by 52 gives remainder 45. If the number is divided by 13, the remainder will beOptions51276
Question
NumbersA number being divided by 52 gives remainder 45. If the number is divided by 13, the remainder will beOptions51276
Solution
To solve this problem, we can use the concept of remainders and divisibility.
Given that a number divided by 52 gives a remainder of 45, we can express this as:
Number = 52x + 45
Now, we need to find the remainder when this number is divided by 13. To do this, we substitute the expression for the number into the equation:
(52x + 45) / 13
To simplify this expression, we can divide both the numerator and denominator by 13:
(4x + 3) / 1
Since we are looking for the remainder, we can ignore the quotient and focus on the remainder. In this case, the remainder is 3.
Therefore, when the number is divided by 13, the remainder will be 3.
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