Question : The HCF of three numbers 72, 108, and 2010 is:
Option 1: 18
Option 2: 6
Option 3: 12
Option 4: 5
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Correct Answer: 6
Solution : Prime factors of $72 = 2\times 2\times 2\times 3\times 3$ $108 = 2\times 2\times 3\times 3\times 3$ $2010 = 2\times 3\times 5\times 67$ $\therefore$ HCF of 72, 108, and 2010 is 2$\times$3 which is equal to 6. Hence, the correct answer is 6.
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Question : What is the ratio between the HCF and LCM of the numbers whose LCM is 48 and the product of the numbers is 384?
Option 1: 1 : 4
Option 2: 1 : 6
Option 3: 1 : 3
Option 4: 2 : 5
Question : The arithmetic mean of the following numbers 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7 is:
Option 1: 4
Option 2: 5
Option 3: 14
Option 4: 20
Question : The average of two numbers is 8, and the average of the other three numbers is 3. The average of the five numbers is:
Option 1: 2
Option 2: 3
Option 3: 5
Option 4: 6
Question : Three numbers are in the ratio $\frac{1}{2}: \frac{2}{3}: \frac{3}{4}$. If the difference between the greatest number and the smallest number is 33, then the HCF of the three numbers is:
Option 1: 9
Option 3: 13
Option 4: 11
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