Which of the following pairs of numbers has the most common multiples less than 10?
a. 2 and 5
b. 4 and 6
c. 2 and 8
d. 3 and 9
To find the pair of numbers that has the most common multiples less than 10, we can determine the common multiples for each pair and compare them.
a. 2 and 5:
The multiples of 2 less than 10 are 2, 4, 6, 8. The multiples of 5 less than 10 are 5 and 10. The only common multiple between 2 and 5 is 10.
b. 4 and 6:
The multiples of 4 less than 10 are 4 and 8. The multiples of 6 less than 10 are 6. There are no common multiples between 4 and 6.
c. 2 and 8:
The multiples of 2 less than 10 are 2, 4, 6, 8. The multiples of 8 less than 10 are 8. The only common multiple between 2 and 8 is 8.
d. 3 and 9:
The multiples of 3 less than 10 are 3, 6, 9. The multiples of 9 less than 10 are 9. The only common multiple between 3 and 9 is 9.
Comparing the results, we can see that the pair (a) 2 and 5 has the most common multiples less than 10, which is just one: 10.
Therefore, the answer is a. 2 and 5.