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What should be added to 1459 so that it ...

What should be added to 1459 so that it is exactly divisible by 12?

A

6

B

5

C

3

D

4

Text Solution

AI Generated Solution

The correct Answer is:
To determine what should be added to 1459 so that it is exactly divisible by 12, we can follow these steps: ### Step 1: Find the remainder when 1459 is divided by 12. To do this, we perform the division: \[ 1459 \div 12 \] Calculating this, we find: 1. 12 goes into 1459 approximately 121 times (since \(12 \times 121 = 1452\)). 2. Now, we calculate the remainder: \[ 1459 - 1452 = 7 \] So, the remainder is 7. ### Step 2: Determine what needs to be added to make it divisible by 12. To make 1459 exactly divisible by 12, we need to add enough to eliminate the remainder. Since the remainder is 7, we need to add: \[ 12 - 7 = 5 \] ### Step 3: Conclusion Thus, we need to add 5 to 1459 to make it divisible by 12. ### Final Answer: The number that should be added to 1459 is **5**. ---
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