Select the option in which the numbers are related in the same way as are the numbers of the following set.
(5, 10, 100)

Let's figure out the relationship among the numbers in the given set (5,10,100):
Let the numbers be A=5,B=10,C=100.

Notice that:

B=2×A⟹10=2×5
C=B×10⟹100=10×10
Alternatively, let's look for a rule connecting A,B to C:

C=(B×A)×2=(10×5)×2=100
Or another potential pattern:

C=
A
B
2

​
=
5
10
2

​
=
5
100
​
=20(Not working perfectly unless it’s constant)
Let's re-verify:

C=B×(
A
B
​
)×A… simpler: B=2A and C=A×B×2
Let's test the rule: B=2A and C=2×A×B across the options:

Option A: (20, 40, 120)
B=2×20=40 (True)
C=2×20×40=1600

=120 (False)

Option B: (16, 32, 320)
B=2×16=32 (True)
Let's check alternative link: C=B×10=32×10=320. This matches the first set's pattern C=B×10.
Let's check if C relates to A and B: C=16×32… wait:
In the original set: 5×2=10, then 10×(5×2)=100.
Let's check Option B: 16×2=32, then 32×10=320. Here 10 is a fixed multiplier.
Let's check Option C: 15×2=30, then 30×7.5=225.

Let's verify another relation for (5,10,100):

C=(B−A)×20=(10−5)×20=100
Let's check Option B: (32−16)×20=16×20=320. This matches perfectly!

Therefore, the pattern followed is:

B=2×A

C=(B−A)×20

Option B matches this criteria exactly.