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4 Mark Question

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3 questions · self-marked practice — reveal the answer and mark yourself.

Question 14 Marks
What least number must be subtracted from 13601 to get a number exactly divisible by 87?
Answer
First, we will divide 13601 by 87.

Remainder = 29
So, 29 must be subtracted from 13601 to get a number exactly divisible by 87.
i.e., 13601 - 29 = 13572
Now, we have:

$\therefore$ 29 must be subtracted from 13601 to make it divisible by 87.
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Question 24 Marks
What least number must be added to 1056 to get a number exactly divisible by 23?
Answer
First, we will divide 1056 by 23.

Required number = 23 - 21 = 2
So, 2 must be added to 1056 to make it exactly divisible by 23.
i.e., 1056 + 2 = 1058
Now, we have:

$\therefore$ 1058 is exactly divisible by 23.
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Question 34 Marks
What least number must be subtracted from 13801 to get a number exactly divisible by 87?
Answer
We have to find the least number that must be subtracted from 13801 to get a number exactly divisible by 87.
So, first we will divide 13801 by 87

Remainder = 55
The number 55 should be subtracted from 13801 to get a number divisible by 87.
i.e., 13801 - 55 = 13746

$\therefore$ 13746 is divisible by 87.
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