The least number which when add 3 to it, completely divided 8, 12 and 18 is_______?
Correct answer: C. 69
- A. 71
- B. 70
- C. 69
- D. 68
Explanation
The LCM of 8, 12 and 18 is 2^3 x 3^2 = 72. Therefore the least intended number is 72 - 3 = 69, because adding 3 gives 72, which is divisible by all three numbers. A student may choose 70 by subtracting incorrectly or by ignoring the required remainder relationship.
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Ratios compare quantities in the same units, while proportions state that two ratios are equal. Problems cover simplification, division in a given ratio, direct and inverse variation, scale, and missing terms, with attention to the difference between a ratio and a fraction representing part of a whole.
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