What least number must be subtracted from 1672 to obtain a number which is completely divisible by 17?Options :A. 5B. 7C. 3D. 6
Question
What least number must be subtracted from 1672 to obtain a number which is completely divisible by 17?
Options :
A. 5
B. 7
C. 3
D. 6
Solution
To solve this problem, we need to find the remainder when 1672 is divided by 17.
Step 1: Divide 1672 by 17.
1672 ÷ 17 = 98.3529411764706
Step 2: Since we can't have a fraction of a number, we round down to the nearest whole number, which is 98.
Step 3: Multiply 98 by 17 to find the largest number less than 1672 that is divisible by 17.
98 x 17 = 1666
Step 4: Subtract this number from 1672 to find the least number that must be subtracted to get a number that is divisible by 17.
1672 - 1666 = 6
So, the least number that must be subtracted from 1672 to get a number that is divisible by 17 is 6. Therefore, the answer is D. 6.
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