26 is related to 12 following a certain logic. Following the same logic, 36 is related to 18. Which of the following is related to 20 using the same logic?
- A53
- B42
- C35
- D45
Solution & Step-by-step Explanation
Let's determine the mathematical relationship between the numbers:
First pair: 26→12
Logic: (26−2)÷2=24÷2=12
Second pair: 36→18
Logic: (36−0)÷2=18
This doesn't match perfectly. Let's try another relationship based on digits:
For 26: Multiply the digits →2×6=12
For 36: Multiply the digits →3×6=18
This digit multiplication logic is perfectly consistent across both pairs!
Now, let X be the number related to 20. The product of the digits of X must equal 20:
Product of digits=20
Let's test the given options:
Option A: 53→5×3=15
Option B: 42→4×2=8
Option C: 35→3×5=15
Option D: 45→4×5=20
Thus, 45 is the correct number.
First pair: 26→12
Logic: (26−2)÷2=24÷2=12
Second pair: 36→18
Logic: (36−0)÷2=18
This doesn't match perfectly. Let's try another relationship based on digits:
For 26: Multiply the digits →2×6=12
For 36: Multiply the digits →3×6=18
This digit multiplication logic is perfectly consistent across both pairs!
Now, let X be the number related to 20. The product of the digits of X must equal 20:
Product of digits=20
Let's test the given options:
Option A: 53→5×3=15
Option B: 42→4×2=8
Option C: 35→3×5=15
Option D: 45→4×5=20
Thus, 45 is the correct number.