The numbers in each set are related to each other in a certain way.
(2, 12, 72), (7, 42, 252), (4, 24, ?)
Based on the relationship among the numbers in the first two sets, select the number that can replace the question mark (?) in the third set.
- A124
- B140
- C164
- D144
Solution & Step-by-step Explanation
Let's determine the mathematical logic connecting the numbers in each triad (1
st
,2
nd
,3
rd
):
First Set: (2,12,72)
2×6=12
12×6=72
Second Set: (7,42,252)
7×6=42
42×6=252
The pattern is that each subsequent number is obtained by multiplying the previous number by 6.
Third Set: (4,24,?)
4×6=24
24×6=144
Therefore, the missing number is 144.
st
,2
nd
,3
rd
):
First Set: (2,12,72)
2×6=12
12×6=72
Second Set: (7,42,252)
7×6=42
42×6=252
The pattern is that each subsequent number is obtained by multiplying the previous number by 6.
Third Set: (4,24,?)
4×6=24
24×6=144
Therefore, the missing number is 144.