Following a certain logic, if 36 is related to 9 and 100 is related to 49, to which of the following is 225 related?
- A133
- B135
- C144
- D148
Solution & Step-by-step Explanation
Let's observe the relationship between the pairs:
36 and 9:
36
=6. Then, (6−3)
2
=3
2
=9.
100 and 49:
100
=10. Then, (10−3)
2
=7
2
=49.
The pattern is: For a given number x, it relates to (
x
−3)
2
.
Applying this logic to 225:
225
=15
Next step: (15−3)
2
=12
2
=144.
Therefore, 225 is related to 144.
36 and 9:
36
=6. Then, (6−3)
2
=3
2
=9.
100 and 49:
100
=10. Then, (10−3)
2
=7
2
=49.
The pattern is: For a given number x, it relates to (
x
−3)
2
.
Applying this logic to 225:
225
=15
Next step: (15−3)
2
=12
2
=144.
Therefore, 225 is related to 144.