To determine which of the given lists contains elements that are all multiples of 8, let's examine each element in the lists individually and check their divisibility by 8.
### List (A): [tex]\(8, 16, 24, 46\)[/tex]
- [tex]\(8 \div 8 = 1\)[/tex] (whole number)
- [tex]\(16 \div 8 = 2\)[/tex] (whole number)
- [tex]\(24 \div 8 = 3\)[/tex] (whole number)
- [tex]\(46 \div 8 = 5.75\)[/tex] (not a whole number)
Since 46 is not a multiple of 8, List (A) does not meet the criteria.
### List (B): [tex]\(8, 16, 24, 48\)[/tex]
- [tex]\(8 \div 8 = 1\)[/tex] (whole number)
- [tex]\(16 \div 8 = 2\)[/tex] (whole number)
- [tex]\(24 \div 8 = 3\)[/tex] (whole number)
- [tex]\(48 \div 8 = 6\)[/tex] (whole number)
All elements of List (B) are multiples of 8.
### List (C): [tex]\(8, 15, 32, 50\)[/tex]
- [tex]\(8 \div 8 = 1\)[/tex] (whole number)
- [tex]\(15 \div 8 = 1.875\)[/tex] (not a whole number)
- [tex]\(32 \div 8 = 4\)[/tex] (whole number)
- [tex]\(50 \div 8 = 6.25\)[/tex] (not a whole number)
Since 15 and 50 are not multiples of 8, List (C) does not meet the criteria.
### List (D): [tex]\(8, 16, 40, 63\)[/tex]
- [tex]\(8 \div 8 = 1\)[/tex] (whole number)
- [tex]\(16 \div 8 = 2\)[/tex] (whole number)
- [tex]\(40 \div 8 = 5\)[/tex] (whole number)
- [tex]\(63 \div 8 = 7.875\)[/tex] (not a whole number)
Since 63 is not a multiple of 8, List (D) does not meet the criteria.
Therefore, the only list that contains all multiples of 8 is:
(B) [tex]\(8, 16, 24, 48\)[/tex]
